* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (+ x 1))) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (+ x 1))) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (- 1 x)) * [exit]simplify: Simplified to (- (- 1 x)) * [enter]simplify: Simplifying (- (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (+ x 1)) * [exit]simplify: Simplified to (- (+ x 1)) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [enter]simplify: Simplifying (/ x (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ x (+ 1 x)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) 1) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- 1 (/ x 1)) * [exit]simplify: Simplified to (- 1 (/ x 1)) * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (sqrt (- 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ 1 (pow x 3))) * [exit]simplify: Simplified to (/ (- 1 x) (+ 1 (pow x 3))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (+ (* x x) (+ x 1)) (+ x 1)) * [exit]simplify: Simplified to (* (+ (* x x) (+ x 1)) (+ x 1)) * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (log (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x))))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x))))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) 1))) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) 1))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (+ x 1))) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (cbrt (+ x 1)))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) 1)) * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (+ x 1))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (cbrt (+ x 1)))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [enter]simplify: Simplifying (sqrt (/ 1 (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ 1 (pow x 3)))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ 1 (pow x 3)))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) (- x 1))) * [exit]simplify: Simplified to (sqrt (- (* x x) (- x 1))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [exit]simplify: Simplified to (sqrt (- 1 x)) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [exit]simplify: Simplified to (sqrt (+ x 1)) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (- (+ (* 2 (pow x 2)) 1) (* 2 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (+ (* (+ x x) x) (- 1 (+ x x))))) (atan (sqrt (+ (* (+ x x) x) (- 1 (+ x x)))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x)))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x)))))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (- (+ (* 1/2 (pow x 2)) 1) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (atan (+ (- 1 x) (* (* x x) 1/2))) (atan (+ (- 1 x) (* (* x x) 1/2)))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (+ (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ (/ (/ 1 x) (sqrt -1)) x) (/ (/ (/ 1/2 x) (- x)) (sqrt -1))))) (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ (/ (/ 1 x) (sqrt -1)) x) (/ (/ (/ 1/2 x) (- x)) (sqrt -1)))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (+ (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ (/ (/ 1 x) (sqrt -1)) x) (/ (/ (/ 1/2 x) (- x)) (sqrt -1))))) (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ (/ (/ 1 x) (sqrt -1)) x) (/ (/ (/ 1/2 x) (- x)) (sqrt -1)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ x 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ x 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]approximate: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]approximate: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3) in (x) around 0 * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ x 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)) into (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ x 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)) into (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) (+ (* (/ (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 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) (+ (* (/ (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 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3)) in x * [misc]taylor: Rewrote expression to (pow (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1))))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (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 (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ x 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 2 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* 3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 3 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 4 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 5 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (pow (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 6 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 7 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 8 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (log (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * [exit]simplify: Simplified to (* (log (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * * * [misc]progress: [ 10 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (exp (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * [exit]simplify: Simplified to (exp (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * * * [misc]progress: [ 11 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 12 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3) * [exit]simplify: Simplified to (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3) * * * * [misc]progress: [ 13 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 14 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (pow (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 15 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 16 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 17 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * [exit]simplify: Simplified to (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * [enter]simplify: Simplifying (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * [exit]simplify: Simplified to (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * * * [misc]progress: [ 19 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 23 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 24 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 25 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 26 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 27 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 28 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 29 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 30 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (cbrt (pow (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 31 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow 1 3)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 32 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 33 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * [enter]simplify: Simplifying (cbrt (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * [exit]simplify: Simplified to (cbrt (sqrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * * * [misc]progress: [ 34 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 35 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (cbrt (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 36 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 37 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 39 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 42 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 43 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 44 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 45 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 46 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (+ x 1))) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (+ x 1))) * * * * [misc]progress: [ 49 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 x) (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 50 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 x) (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 51 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 52 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 53 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) (/ (- 1 x) (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 54 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 55 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (- 1 x)) * [exit]simplify: Simplified to (- (- 1 x)) * [enter]simplify: Simplifying (- (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (+ 1 x)) * [exit]simplify: Simplified to (- (+ 1 x)) * * * * [misc]progress: [ 56 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [enter]simplify: Simplifying (/ x (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ x (+ 1 x)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 57 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 58 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 59 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) 1) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 60 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 61 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 62 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 63 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * * * * [misc]progress: [ 64 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 65 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 x) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 66 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 68 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- 1 x)) * [exit]simplify: Simplified to (/ (+ 1 x) (- 1 x)) * * * * [misc]progress: [ 69 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * * * * [misc]progress: [ 70 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 71 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- 1 (/ x 1)) * [exit]simplify: Simplified to (- 1 (/ x 1)) * * * * [misc]progress: [ 72 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (cbrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ 1 x) (cbrt (- 1 x))) * * * * [misc]progress: [ 73 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (- 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (- 1 x))) * * * * [misc]progress: [ 74 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- 1 x)) * [exit]simplify: Simplified to (/ (+ 1 x) (- 1 x)) * * * * [misc]progress: [ 75 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ (pow x 3) 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ (pow x 3) 1)) * * * * [misc]progress: [ 76 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- (* x x) 1)) * [exit]simplify: Simplified to (/ (- 1 x) (- (* x x) 1)) * * * * [misc]progress: [ 77 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x 1) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 x) (* x x)) (+ 1 x)) * [exit]simplify: Simplified to (* (+ (+ 1 x) (* x x)) (+ 1 x)) * * * * [misc]progress: [ 78 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x 1) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (+ 1 x) (+ 1 x)) * [exit]simplify: Simplified to (* (+ 1 x) (+ 1 x)) * * * * [misc]progress: [ 79 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 80 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * * * * [misc]progress: [ 81 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * * * * [misc]progress: [ 82 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 83 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * * * * [misc]progress: [ 84 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * * * * [misc]progress: [ 85 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 86 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * * * * [misc]progress: [ 87 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * * * * [misc]progress: [ 88 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (- (+ (* 2 (pow x 2)) 1) (* 2 x)))) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (+ (- 1 (+ x x)) (* (+ x x) x)))) (atan (sqrt (+ (- 1 (+ x x)) (* (+ x x) x))))) * * * * [misc]progress: [ 89 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))))) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x))))) 2) * * * * [misc]progress: [ 90 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (cbrt (pow (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))))) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x))))) 2) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (exp (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log (exp (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (exp (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in 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 (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp (atan (sqrt (/ (- 1 x) (+ x 1))))))) (log (cbrt (exp (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * [exit]simplify: Simplified to (+ (log (cbrt (exp (atan (sqrt (/ (- 1 x) (+ x 1))))))) (log (cbrt (exp (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * [enter]simplify: Simplifying (log (cbrt (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (log (cbrt (exp (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (log (cbrt (exp (atan (sqrt (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (log (sqrt (exp (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [enter]simplify: Simplifying (log (sqrt (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (log (sqrt (exp (atan (sqrt (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 6 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 8 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 21 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (+ x 1))) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (+ x 1))) * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (exp (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (- 1 x)) * [exit]simplify: Simplified to (- (- 1 x)) * [enter]simplify: Simplifying (- (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- (+ x 1)) * [exit]simplify: Simplified to (- (+ x 1)) * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [enter]simplify: Simplifying (/ x (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ x (+ 1 x)) * [exit]simplify: Simplified to (/ x (+ 1 x)) * * * * [misc]progress: [ 33 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) 1) (cbrt (- 1 x))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (+ x 1))) (cbrt (+ x 1))) * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- 1 (/ x 1)) * [exit]simplify: Simplified to (- 1 (/ x 1)) * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (cbrt (- 1 x))) * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (sqrt (- 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * [exit]simplify: Simplified to (/ (+ x 1) (sqrt (- 1 x))) * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * [exit]simplify: Simplified to (/ (+ x 1) (- 1 x)) * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ 1 (pow x 3))) * [exit]simplify: Simplified to (/ (- 1 x) (+ 1 (pow x 3))) * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (+ (* x x) (+ x 1)) (+ x 1)) * [exit]simplify: Simplified to (* (+ (* x x) (+ x 1)) (+ x 1)) * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (log (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (- 1 x) (+ 1 x))) (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x))))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x))))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) 1))) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) 1))) * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (+ x 1))) * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (+ x 1))) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (cbrt (+ x 1)))) * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) 1)) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) 1)) * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (+ x 1))) * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (cbrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (cbrt (+ x 1)))) * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (+ x 1)))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (+ x 1)))) * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [enter]simplify: Simplifying (sqrt (/ 1 (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ 1 (pow x 3)))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ 1 (pow x 3)))) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) (- x 1))) * [exit]simplify: Simplified to (sqrt (- (* x x) (- x 1))) * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [exit]simplify: Simplified to (sqrt (- 1 x)) * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [exit]simplify: Simplified to (sqrt (+ x 1)) * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (sqrt (- (+ (* 2 (pow x 2)) 1) (* 2 x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (- (+ (* x x) (- 1 x)) (- x (* x x))))) (atan (sqrt (- (+ (* x x) (- 1 x)) (- x (* x x)))))) * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x))))) (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x)))))) * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (sqrt (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x))))) (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x)))))) * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (- (+ (* 1/2 (pow x 2)) 1) x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (+ (atan (- (* x (* x 1/2)) (- x 1))) (atan (- (* x (* x 1/2)) (- x 1)))) * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (+ (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ (/ 1 (sqrt -1)) (* x x)) (/ (/ 1/2 (- x)) (* (sqrt -1) x))))) (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ (/ 1 (sqrt -1)) (* x x)) (/ (/ 1/2 (- x)) (* (sqrt -1) x)))))) * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (log (exp (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (+ (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ (/ 1 (sqrt -1)) (* x x)) (/ (/ 1/2 (- x)) (* (sqrt -1) x))))) (atan (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ (/ 1 (sqrt -1)) (* x x)) (/ (/ 1/2 (- x)) (* (sqrt -1) x)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 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 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 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 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 4 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (exp (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 5 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [enter]simplify: Simplifying (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 6 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 7 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 8 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [enter]simplify: Simplifying (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 9 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 10 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 11 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 15 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (exp (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 16 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [enter]simplify: Simplifying (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 17 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 18 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 19 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [enter]simplify: Simplifying (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 20 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 21 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 22 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 26 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (exp (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (exp (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 27 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [enter]simplify: Simplifying (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 28 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 29 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 30 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [enter]simplify: Simplifying (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 31 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 32 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 33 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 36 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (exp (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 37 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 38 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 39 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * * * * [misc]progress: [ 40 / 52 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 42 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (+ (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) * * * * [misc]progress: [ 43 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (* (+ (cbrt (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) (cbrt (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 44 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 45 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * * * * [misc]progress: [ 46 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (* (+ (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * * * * [misc]progress: [ 47 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 48 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * [exit]simplify: Simplified to (* (+ (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * * * * [misc]progress: [ 49 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (* (+ (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * * * [misc]progress: [ 50 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]progress: [ 51 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (* (+ (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 52 / 52 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))