* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [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 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (tan (/ x 2)) * * [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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (tan (/ x 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) * [misc]approximate: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) into (/ (sin (* 1/2 x)) (cos (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x))))) into (/ (sin (* 1/2 x)) (cos (* 1/2 x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 x) (+ (* 1/24 (pow x 3)) (* 1/240 (pow x 5)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (fma (fma 1/24 (* x x) 1/2) x (* (pow x 5) 1/240)) * [misc]simplify: Simplified (2) to (λ (x) (fma (fma 1/24 (* x x) 1/2) x (* (pow x 5) 1/240))) * * * * [misc]progress: [ 12 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* 1/2 x)) (cos (* 1/2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) * [misc]simplify: Simplified (2) to (λ (x) (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) * * * * [misc]progress: [ 13 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* 1/2 x)) (cos (* 1/2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin (* 1/2 x)) (cos (* 1/2 x))) * [misc]simplify: Simplified (2) to (λ (x) (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ x 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 1/24) 1)) (pow 1/2 1)))) 2) into 1/12 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/36 1) 1)))) into (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) into (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/240) 1)) (pow 1/2 1)))) 24) into 7/1440 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 7/1440) (+ (* 0 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))))) into 7/4320 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/36 2) 2)) (* (/ (pow 7/4320 1) 1)))) into (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) into (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) (pow x 4)) (+ (* (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) (pow x 2)) (exp (* 1/3 (+ (log 1/2) (log x)))))) into (+ (* 13/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 1/36 (* (pow x 2) (exp (* 1/3 (+ (log 1/2) (log x)))))) (exp (* 1/3 (+ (log 1/2) (log x)))))) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) 1/3) into (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x))))) 1/3) into (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ x 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 1/24) 1)) (pow 1/2 1)))) 2) into 1/12 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/36 1) 1)))) into (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) into (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/240) 1)) (pow 1/2 1)))) 24) into 7/1440 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 7/1440) (+ (* 0 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))))) into 7/4320 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/36 2) 2)) (* (/ (pow 7/4320 1) 1)))) into (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) into (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) (pow x 4)) (+ (* (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) (pow x 2)) (exp (* 1/3 (+ (log 1/2) (log x)))))) into (+ (* 13/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 1/36 (* (pow x 2) (exp (* 1/3 (+ (log 1/2) (log x)))))) (exp (* 1/3 (+ (log 1/2) (log x)))))) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) 1/3) into (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x))))) 1/3) into (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ x 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 1/24) 1)) (pow 1/2 1)))) 2) into 1/12 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/36 1) 1)))) into (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) into (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/240) 1)) (pow 1/2 1)))) 24) into 7/1440 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 7/1440) (+ (* 0 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))))) into 7/4320 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/36 2) 2)) (* (/ (pow 7/4320 1) 1)))) into (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) into (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) (pow x 4)) (+ (* (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) (pow x 2)) (exp (* 1/3 (+ (log 1/2) (log x)))))) into (+ (* 13/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 1/36 (* (pow x 2) (exp (* 1/3 (+ (log 1/2) (log x)))))) (exp (* 1/3 (+ (log 1/2) (log x)))))) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ 1/2 (/ 1 x))) (cos (/ 1/2 (/ 1 x)))) 1/3) into (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ -1/2 (/ 1 (- x)))) (cos (/ -1/2 (/ 1 (- x))))) 1/3) into (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ x 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ x 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ x 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ x 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ x 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ x 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ x 2)) (cos (/ x 2))) * [misc]taylor: Taking taylor expansion of (sin (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ x 2)) in x * [misc]taylor: Taking taylor expansion of (/ x 2) in x * [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 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log 1/2) (log x))) into (* 1/3 (+ (log 1/2) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log 1/2) (log x)))) into (exp (* 1/3 (+ (log 1/2) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (exp (* 1/3 (+ (log 1/2) (log x))))) into (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2) into (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) 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) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log 1/2) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 1/2) (log x)))) 0) (* 0 (exp (* 1/3 (+ (log 1/2) (log x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 1/24) 1)) (pow 1/2 1)))) 2) into 1/12 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/36 1) 1)))) into (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (- (/ (- 1/48) 1) (+ (* 1/2 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 1/24) 1)) (pow 1/2 1)))) 2) into 1/12 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/36 1) 1)))) into (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 1/2) (log x)))) (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 0 0) (* (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) (exp (* 1/3 (+ (log 1/2) (log x))))))) into (* 1/18 (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2)) * [misc]backup-simplify: Simplify (* 1/18 (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2)) into (* 1/18 (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/8) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 1/2) (log x)))) 0) (+ (* 0 (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) 0) (* 0 (exp (* 1/3 (+ (log 1/2) (log x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/240) 1)) (pow 1/2 1)))) 24) into 7/1440 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 7/1440) (+ (* 0 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))))) into 7/4320 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/36 2) 2)) (* (/ (pow 7/4320 1) 1)))) into (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 5) 120)) 0 (* -1 (/ (pow 1/2 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/3840 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384 * [misc]backup-simplify: Simplify (- (/ 1/3840 1) (+ (* 1/2 (/ 1/384 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/8) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/240) 1)) (pow 1/2 1)))) 24) into 7/1440 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log 1/2) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 7/1440) (+ (* 0 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log 1/2) (log x))))))) into 7/4320 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log 1/2) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/36 2) 2)) (* (/ (pow 7/4320 1) 1)))) into (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (+ (log 1/2) (log x)))) (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 0 0) (+ (* (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x))))) (* 1/36 (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 0 0) (* (* 13/6480 (exp (* 1/3 (+ (log 1/2) (log x))))) (exp (* 1/3 (+ (log 1/2) (log x))))))))) into (* 31/6480 (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2)) * [misc]backup-simplify: Simplify (* 31/6480 (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2)) into (* 31/6480 (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2)) * [misc]backup-simplify: Simplify (+ (* (* 31/6480 (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2)) (pow x 4)) (+ (* (* 1/18 (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2)) (pow x 2)) (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2))) into (+ (* 1/18 (* (pow x 2) (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2))) (+ (* 31/6480 (* (pow x 4) (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2))) (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2))) * [misc]approximate: Taking taylor expansion of (* (cbrt (tan (/ (/ 1 x) 2))) (cbrt (tan (/ (/ 1 x) 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (tan (/ (/ 1 x) 2))) (cbrt (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (tan (/ (/ 1 x) 2))) (cbrt (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 x) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 x) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 x) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 x) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 x) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 x) 2)) (cos (/ (/ 1 x) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 x) 2)) into (sin (/ 1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 x) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 x) 2)) into (cos (/ 1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) into (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) into (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) into (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3)) into (pow (/ (pow (sin (/ 1/2 x)) 2) (pow (cos (/ 1/2 x)) 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ (pow (sin (/ 1/2 x)) 2) (pow (cos (/ 1/2 x)) 2)) 1/3) into (pow (/ (pow (sin (/ 1/2 x)) 2) (pow (cos (/ 1/2 x)) 2)) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) 0) (* 0 (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1/2 x))) (+ (* (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))) (* 0 (/ 0 (cos (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1/2 x)) (cos (/ 1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ 1/2 x)) (cos (/ 1/2 x))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (pow (sin (/ 1/2 (/ 1 x))) 2) (pow (cos (/ 1/2 (/ 1 x))) 2)) 1/3) into (pow (/ (pow (sin (* 1/2 x)) 2) (pow (cos (* 1/2 x)) 2)) 1/3) * [misc]approximate: Taking taylor expansion of (* (cbrt (tan (/ (/ 1 (- x)) 2))) (cbrt (tan (/ (/ 1 (- x)) 2)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (tan (/ (/ 1 (- x)) 2))) (cbrt (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (tan (/ (/ 1 (- x)) 2))) (cbrt (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Rewrote expression to (pow (tan (/ (/ 1 (- x)) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (tan (/ (/ 1 (- x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (tan (/ (/ 1 (- x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (tan (/ (/ 1 (- x)) 2))) in x * [misc]taylor: Taking taylor expansion of (tan (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Rewrote expression to (/ (sin (/ (/ 1 (- x)) 2)) (cos (/ (/ 1 (- x)) 2))) * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- x)) 2)) into (sin (/ -1/2 x)) * [misc]taylor: Taking taylor expansion of (cos (/ (/ 1 (- x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (/ 1 (- x)) 2)) into (cos (/ -1/2 x)) * [misc]backup-simplify: Simplify (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) into (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) into (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) into (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) * [misc]backup-simplify: Simplify (* (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3)) into (pow (/ (pow (sin (/ -1/2 x)) 2) (pow (cos (/ -1/2 x)) 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ (pow (sin (/ -1/2 x)) 2) (pow (cos (/ -1/2 x)) 2)) 1/3) into (pow (/ (pow (sin (/ -1/2 x)) 2) (pow (cos (/ -1/2 x)) 2)) 1/3) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) 0) (* 0 (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1/2 x))) (+ (* (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))) (* 0 (/ 0 (cos (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1/2 x)) (cos (/ -1/2 x)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ (sin (/ -1/2 x)) (cos (/ -1/2 x))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (pow (sin (/ -1/2 (/ 1 (- x)))) 2) (pow (cos (/ -1/2 (/ 1 (- x)))) 2)) 1/3) into (pow (/ (pow (sin (* 1/2 x)) 2) (pow (cos (* 1/2 x)) 2)) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (cbrt (cbrt (tan (/ x 2))))))) * * * * [misc]progress: [ 8 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt (sqrt (tan (/ x 2)))) (cbrt (sqrt (tan (/ x 2))))))) * * * * [misc]progress: [ 9 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (* (cbrt 1) (cbrt (tan (/ x 2)))))) * * * * [misc]progress: [ 10 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ x 2))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (/ (cbrt (sin (/ x 2))) (cbrt (cos (/ x 2)))))) * * * * [misc]progress: [ 11 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (tan (/ x 2))) (* (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (cbrt (cbrt (tan (/ x 2)))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 22 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (tan (/ x 2))) (* (cbrt (sqrt (tan (/ x 2)))) (cbrt (sqrt (tan (/ x 2)))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 23 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (tan (/ x 2))) (* (cbrt 1) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 24 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ x 2))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (* (* (cbrt (tan (/ x 2))) (/ (cbrt (sin (/ x 2))) (cbrt (cos (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 25 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (cbrt (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 36 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (cbrt (sqrt (tan (/ x 2)))) (cbrt (sqrt (tan (/ x 2))))) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 37 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (* (cbrt 1) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 38 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (sin (/ x 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (* (* (/ (cbrt (sin (/ x 2))) (cbrt (cos (/ x 2)))) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 39 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (tan (/ x 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (tan (/ x 2)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (tan (/ x 2)) (+ 1/3 1/3)) (cbrt (tan (/ x 2))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (pow (tan (/ x 2)) (+ 1/3 1/3)) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 46 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (cbrt (tan (/ x 2))) (+ 1 1)) (cbrt (tan (/ x 2))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (pow (cbrt (tan (/ x 2))) (+ 1 1)) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 47 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan (/ x 2)) (tan (/ x 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (tan (/ x 2)) (tan (/ x 2))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (* (tan (/ x 2)) (tan (/ x 2))) 1/3) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 48 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) 1) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 49 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (pow (cbrt (tan (/ x 2))) (+ 1 1)) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 51 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (tan (/ x 2)))) (log (cbrt (tan (/ x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (tan (/ x 2)))) (log (cbrt (tan (/ x 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (exp (+ (log (cbrt (tan (/ x 2)))) (log (cbrt (tan (/ x 2)))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 53 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (tan (/ x 2)) (tan (/ x 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (tan (/ x 2)) (tan (/ x 2))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (cbrt (* (tan (/ x 2)) (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 56 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ x 2))) (cbrt (sin (/ x 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (/ x 2))) (cbrt (sin (/ x 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (cbrt (sin (/ x 2))) (cbrt (sin (/ x 2)))) (* (cbrt (cos (/ x 2))) (cbrt (cos (/ x 2))))) (cbrt (tan (/ x 2))))) * [enter]simplify: Simplifying (* (cbrt (cos (/ x 2))) (cbrt (cos (/ x 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ x 2))) (cbrt (cos (/ x 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (/ (* (cbrt (sin (/ x 2))) (cbrt (sin (/ x 2)))) (* (cbrt (cos (/ x 2))) (cbrt (cos (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 60 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (tan (/ x 2))) (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))))) (cbrt (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 62 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (tan (/ x 2))) (cbrt (sqrt (tan (/ x 2))))) (cbrt (sqrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 63 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (tan (/ x 2))) (cbrt 1)) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 64 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (tan (/ x 2))) (* (cbrt (cbrt (tan (/ x 2)))) (cbrt (cbrt (tan (/ x 2)))))) (cbrt (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 65 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (tan (/ x 2))) (sqrt (cbrt (tan (/ x 2))))) (sqrt (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 66 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (tan (/ x 2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (* (cbrt (tan (/ x 2))) 1) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 67 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (cbrt (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (* (cbrt (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 68 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (cbrt (sqrt (tan (/ x 2)))) (* (cbrt (sqrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 69 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (cbrt 1) (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 70 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (tan (/ x 2)))) (cbrt (cbrt (tan (/ x 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (tan (/ x 2)))) (cbrt (cbrt (tan (/ x 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (* (cbrt (cbrt (tan (/ x 2)))) (cbrt (cbrt (tan (/ x 2))))) (* (cbrt (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 71 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (tan (/ x 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (tan (/ x 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (sqrt (cbrt (tan (/ x 2)))) (* (sqrt (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 72 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (/ x 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ x 2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (sin (/ x 2)))) (cbrt (cos (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 74 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ x 2))) (cbrt (tan (/ x 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (/ x 2))) (cbrt (sin (/ x 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (/ (* (cbrt (tan (/ x 2))) (cbrt (sin (/ x 2)))) (cbrt (cos (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 75 / 87 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 13/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 1/36 (* (pow x 2) (exp (* 1/3 (+ (log 1/2) (log x)))))) (exp (* 1/3 (+ (log 1/2) (log x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (fma (fma 13/6480 (pow x 4) (* 1/36 (* x x))) (cbrt (* x 1/2)) (cbrt (* x 1/2))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (fma (fma 13/6480 (pow x 4) (* 1/36 (* x x))) (cbrt (* x 1/2)) (cbrt (* x 1/2))))) * * * * [misc]progress: [ 77 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))) * * * * [misc]progress: [ 78 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (tan (/ x 2)))) (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))))) * * * * [misc]progress: [ 79 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 13/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 1/36 (* (pow x 2) (exp (* 1/3 (+ (log 1/2) (log x)))))) (exp (* 1/3 (+ (log 1/2) (log x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (fma (fma 13/6480 (pow x 4) (* 1/36 (* x x))) (cbrt (* x 1/2)) (cbrt (* x 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (cbrt (tan (/ x 2))) (fma (fma 13/6480 (pow x 4) (* 1/36 (* x x))) (cbrt (* x 1/2)) (cbrt (* x 1/2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 80 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 81 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (* (* (cbrt (tan (/ x 2))) (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 82 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 13/6480 (* (pow x 4) (exp (* 1/3 (+ (log 1/2) (log x)))))) (+ (* 1/36 (* (pow x 2) (exp (* 1/3 (+ (log 1/2) (log x)))))) (exp (* 1/3 (+ (log 1/2) (log x)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (fma (fma 13/6480 (pow x 4) (* 1/36 (* x x))) (cbrt (* x 1/2)) (cbrt (* x 1/2))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (fma (fma 13/6480 (pow x 4) (* 1/36 (* x x))) (cbrt (* x 1/2)) (cbrt (* x 1/2))) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 83 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 84 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (sin (* 1/2 x)) (cos (* 1/2 x))) 1/3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (* (* (cbrt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) (cbrt (tan (/ x 2)))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 85 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/18 (* (pow x 2) (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2))) (+ (* 31/6480 (* (pow x 4) (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2))) (pow (exp (* 1/3 (+ (log 1/2) (log x)))) 2))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (fma (pow (* x 1/2) (+ 1/3 1/3)) (fma 31/6480 (pow x 4) (* (* x x) 1/18)) (pow (* x 1/2) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fma (pow (* x 1/2) (+ 1/3 1/3)) (fma 31/6480 (pow x 4) (* (* x x) 1/18)) (pow (* x 1/2) (+ 1/3 1/3))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 86 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (pow (sin (* 1/2 x)) 2) (pow (cos (* 1/2 x)) 2)) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) (cbrt (tan (/ x 2))))) * * * * [misc]progress: [ 87 / 87 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (pow (sin (* 1/2 x)) 2) (pow (cos (* 1/2 x)) 2)) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (* (/ (sin (* 1/2 x)) (cos (* 1/2 x))) (/ (sin (* 1/2 x)) (cos (* 1/2 x))))) (cbrt (tan (/ x 2))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (- 1 (cos x)) (sin x)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (tan (/ x 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (tan (/ x 2)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs