* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ 2 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (/ 1 (cosh 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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1 2)) (* 0 (/ 0 2)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 0 2)) (* 0 (/ 1 2)) (* -1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [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 (- 1) into -1 * [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 (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1 (/ 1/12 2)) (* 0 (/ 0 2)) (* -1/2 (/ 1 2)) (* 0 (/ 0 2)))) into 5/24 * [misc]backup-simplify: Simplify 5/24 into 5/24 * [misc]backup-simplify: Simplify (+ (* 5/24 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (- (/ 1 x))) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 (/ 1 x)))) (exp (/ 1 (/ 1 x))))) into (/ 2 (+ (exp (- x)) (exp x))) * [misc]approximate: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ 2 (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))) (* 0 (/ 0 (+ (exp (/ -1 x)) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (102 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) (cbrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 12 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 13 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * [exit]simplify: Simplified to (+ (exp (- x)) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 1) (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 14 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * [exit]simplify: Simplified to (+ (exp (- x)) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 1) (+ (exp (- x)) (exp x)))) * * * * [misc]progress: [ 15 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (173 enodes) * [exit]simplify: Simplified to (- (exp (- (+ x x))) (- (exp (- x x)) (* (exp x) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (- (exp (- (+ x x))) (- (exp (- x x)) (* (exp x) (exp x)))))) * * * * [misc]progress: [ 16 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp x) (exp (- x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (exp x)) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) (+ (/ (- 1) (exp x)) (exp x)))) * * * * [misc]progress: [ 17 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 5/24 (pow x 4))) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (+ 1 (- (* 5/24 (pow x 4)) (* (* x x) 1/2))) * [misc]simplify: Simplified (2) to (λ (x) (+ 1 (- (* 5/24 (pow x 4)) (* (* x x) 1/2)))) * * * * [misc]progress: [ 18 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (- x)) (exp x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (/ 1 (cosh x)) * [misc]simplify: Simplified (2) to (λ (x) (/ 1 (cosh x))) * * * * [misc]progress: [ 19 / 19 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (/ 1 (cosh x)) * [misc]simplify: Simplified (2) to (λ (x) (/ 1 (cosh x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 3))) * [misc]backup-simplify: Simplify (- (/ 1 (pow (sqrt 2) 3))) into (- (/ 1 (pow (sqrt 2) 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [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 (- 1) into -1 * [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 (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (/ 1 (pow (sqrt 2) 3))) (pow x 2)) (/ 2 (sqrt 2)))) into (- (+ (* 2 (/ 1 (sqrt 2))) (* 3/4 (/ (pow x 4) (pow (sqrt 2) 5)))) (+ (* 1/12 (/ (pow x 4) (pow (sqrt 2) 3))) (/ (pow x 2) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 (/ 1 x)))) (exp (/ 1 (/ 1 x))))))) into (* 2 (sqrt (/ 1 (+ (exp (- x)) (exp x))))) * [misc]approximate: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt (/ 1 (+ (exp (/ -1 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))))) into (* 2 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 2 (sqrt 2)) (sqrt 2)) into (/ 2 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp x) (exp (- x))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt 2)) into (/ 2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (/ 2 (sqrt 2)) (sqrt 2)) into (/ 2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (/ 2 (pow (sqrt 2) 2)) into (/ 2 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (/ 1 (pow (sqrt 2) 3))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (pow (sqrt 2) 3))) (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 2 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow (sqrt 2) 4)))) into (- (* 2 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [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 (- 1) into -1 * [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 (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 2 (sqrt 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (/ 1 (pow (sqrt 2) 3))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [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 (- 1) into -1 * [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 (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 3/4 (/ 1 (pow (sqrt 2) 5))) (* 1/12 (/ 1 (pow (sqrt 2) 3)))) (sqrt 2)) (+ (* (/ 2 (pow (sqrt 2) 2)) (/ (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (/ (/ 1/2 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) into (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (+ (* (- (* 2 (/ 1 (pow (sqrt 2) 6))) (* 1/6 (/ 1 (pow (sqrt 2) 4)))) (pow x 4)) (+ (* (- (* 2 (/ 1 (pow (sqrt 2) 4)))) (pow x 2)) (/ 2 (pow (sqrt 2) 2)))) into (- (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (* 2 (/ (pow x 4) (pow (sqrt 2) 6)))) (+ (* 1/6 (/ (pow x 4) (pow (sqrt 2) 4))) (* 2 (/ (pow x 2) (pow (sqrt 2) 4))))) * [misc]approximate: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (- (/ 1 (/ 1 x)))) (exp (/ 1 (/ 1 x))))) into (/ 2 (+ (exp (- x)) (exp x))) * [misc]approximate: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (/ 2 (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (* 2 (sqrt (/ 1 (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x))))) (+ (* (/ 2 (+ (exp (/ -1 x)) (exp (/ 1 x)))) (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 2 (+ (exp (/ -1 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))) into (/ 2 (+ (exp (* -1 x)) (exp x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [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 (- 1) into -1 * [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 (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 4)) (+ (* (/ 1/2 (sqrt 2)) (pow x 2)) (sqrt 2))) into (- (+ (* 1/24 (/ (pow x 4) (sqrt 2))) (+ (sqrt 2) (* 1/2 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 (/ 1 x)))) (exp (/ 1 (/ 1 x))))) into (sqrt (+ (exp (- x)) (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))) into (sqrt (+ (exp (* -1 x)) (exp x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ (exp x) (exp (- x))) in x * [misc]taylor: Taking taylor expansion of (exp x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 1/2) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [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) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [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 (- 1) into -1 * [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 (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 1/24) into 1/12 * [misc]backup-simplify: Simplify (/ (- 1/12 (pow (/ 1/2 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/12 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 4)) (+ (* (/ 1/2 (sqrt 2)) (pow x 2)) (sqrt 2))) into (- (+ (* 1/24 (/ (pow x 4) (sqrt 2))) (+ (sqrt 2) (* 1/2 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 (exp (- (/ 1 x))) into (exp (- (/ 1 x))) * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) into (+ (exp (- (/ 1 x))) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) into (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (- (/ 1 x))) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (/ 1 (/ 1 x)))) (exp (/ 1 (/ 1 x))))) into (sqrt (+ (exp (- x)) (exp x))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- x))) (exp (- (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (exp (- (/ 1 (- x)))) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) (exp (/ 1 x))) into (+ (exp (/ -1 x)) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) into (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) (exp (/ 1 (/ 1 (- x)))))) into (sqrt (+ (exp (* -1 x)) (exp x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/3))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 12 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 13 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 14 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt 1)) (sqrt (+ (exp (- x)) (exp x)))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 15 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt 1)) (sqrt (+ (exp (- x)) (exp x)))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 16 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 17 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ 2 1) (sqrt (+ (exp (- x)) (exp x)))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 18 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (sqrt (- (* (exp (- x)) (exp (- x))) (- (exp (- x x)) (exp (+ x x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (- (* (exp (- x)) (exp (- x))) (- (exp (- x x)) (exp (+ x x)))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 19 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) (/ (- 1) (exp x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (+ (exp x) (/ (- 1) (exp x))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 20 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (log (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (log (/ 2 (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (log (/ 2 (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 22 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (238 enodes) * [exit]simplify: Simplified to (pow (/ 2 (+ (exp (- x)) (exp x))) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ 2 (+ (exp (- x)) (exp x))) 3))) * * * * [misc]progress: [ 25 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (227 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (cbrt (/ 2 (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (cbrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))) (cbrt (/ 2 (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 30 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (203 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt 2) (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2))) (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (cbrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (+ (exp (- x)) (exp x)))) (/ (/ (cbrt 2) (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2))) (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2))))) * * * * [misc]progress: [ 31 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (sqrt (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 32 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) 1) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (/ (* (cbrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/2))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) 1) (/ (* (cbrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/2))) (cbrt (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 33 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (222 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) 1) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (/ (* (cbrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/2))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) 1) (/ (* (cbrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/2))) (cbrt (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 34 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (sqrt (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 35 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (/ (* (cbrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/2))) (cbrt (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (/ (* (cbrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/2))) (cbrt (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 36 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (+ (exp (- x)) (exp x)))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (cbrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (cbrt (+ (exp (- x)) (exp x)))) (sqrt (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (cbrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 37 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (223 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/3))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/3))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt 2) (pow (+ (exp (- x)) (exp x)) (- 1/3))) (sqrt (sqrt (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x)))))))) * * * * [misc]progress: [ 38 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 2 (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 39 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (pow (+ (exp (- x)) (exp x)) (+ 1 1/2)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (pow (+ (exp (- x)) (exp x)) (+ 1 1/2)))))) * * * * [misc]progress: [ 40 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (pow (+ (exp (- x)) (exp x)) (+ 1 1/2)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (pow (+ (exp (- x)) (exp x)) (+ 1 1/2)))))) * * * * [misc]progress: [ 41 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (+ (exp (- x)) (exp x)))) (sqrt (/ 2 (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 42 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (pow (+ (exp (- x)) (exp x)) (+ 1 1/2)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (sqrt (/ 2 (pow (+ (exp (- x)) (exp x)) (+ 1 1/2)))))) * * * * [misc]progress: [ 43 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (cbrt (+ (exp (- x)) (exp x)))) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (cbrt (+ (exp (- x)) (exp x)))) (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (cbrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 44 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (- 1/3)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (pow (+ (exp (- x)) (exp x)) (- 1/3)) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (/ 2 (pow (+ (exp (- x)) (exp x)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (pow (+ (exp (- x)) (exp x)) (- 1/3)) (/ 2 (pow (+ (exp (- x)) (exp x)) (+ 1/3 1/3))))) * * * * [misc]progress: [ 45 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (exp (- x)) (exp x))) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (pow (sqrt (+ (exp (- x)) (exp x))) (- 1/2)) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 46 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 47 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 48 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (153 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (exp (- x)) (exp x))) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (pow (sqrt (+ (exp (- x)) (exp x))) (- 1/2)) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (/ (* 2 2) (+ (exp (- x)) (exp x))) (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 49 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (162 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ 2 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 50 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (172 enodes) * [exit]simplify: Simplified to (/ 2 (cbrt (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (cbrt (+ (exp (- x)) (exp x)))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (exp (- x)) (exp x))) (- -1 1/3)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (cbrt (+ (exp (- x)) (exp x)))) (pow (sqrt (+ (exp (- x)) (exp x))) (- -1 1/3)))) * * * * [misc]progress: [ 51 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (/ 2 (cbrt (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (cbrt (+ (exp (- x)) (exp x)))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ (exp (- x)) (exp x)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (cbrt (+ (exp (- x)) (exp x)))) (/ 1 (pow (+ (exp (- x)) (exp x)) (+ 1/3 1/3))))) * * * * [misc]progress: [ 52 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (/ 2 (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (exp (- x)) (exp x))) (- -1 1/2)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (pow (sqrt (+ (exp (- x)) (exp x))) (- -1 1/2)))) * * * * [misc]progress: [ 53 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1) to (λ (x) (* 2 (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (/ 1 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 54 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1) to (λ (x) (* 2 (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (/ 1 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 55 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (/ 2 (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (exp (- x)) (exp x))) (- -1 1/2)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (sqrt (+ (exp x) (exp (- x)))))) (pow (sqrt (+ (exp (- x)) (exp x))) (- -1 1/2)))) * * * * [misc]progress: [ 56 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1) to (λ (x) (* 2 (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (/ 1 (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 57 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (exp (- (+ x x))) (- (exp (- x x)) (exp (+ x x)))) (cbrt (+ (exp x) (exp (- x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (sqrt (/ (- (exp (- (+ x x))) (- (exp (- x x)) (exp (+ x x)))) (cbrt (+ (exp x) (exp (- x)))))))) * * * * [misc]progress: [ 58 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (262 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (exp (- (+ x x))) (- (exp (- x x)) (exp (+ x x)))) (cbrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (sqrt (/ (- (exp (- (+ x x))) (- (exp (- x x)) (exp (+ x x)))) (cbrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 59 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (/ (/ 2 (pow (+ (exp x) (exp (- x))) (* 1/2 1/2))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 2 (pow (+ (exp x) (exp (- x))) (* 1/2 1/2))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 60 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 61 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 62 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (/ (/ 2 (pow (+ (exp x) (exp (- x))) (* 1/2 1/2))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 2 (pow (+ (exp x) (exp (- x))) (* 1/2 1/2))) (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (263 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (sqrt (+ (exp (- x)) (exp x))))))) * * * * [misc]progress: [ 63 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (249 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (sqrt (/ (- (exp (+ (- x) (- x))) (- (exp (- x x)) (exp (+ x x)))) (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 64 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (271 enodes) * [exit]simplify: Simplified to (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (- (exp (+ x x)) (exp (+ (- x) (- x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (- (exp (+ x x)) (exp (+ (- x) (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (cbrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) (/ (- 1) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/3))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (cbrt (+ (exp x) (exp (- x))))) (sqrt (- (exp (+ x x)) (exp (+ (- x) (- x)))))) (/ (sqrt (+ (exp x) (/ (- 1) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/3))))) * * * * [misc]progress: [ 65 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (/ (/ 2 (cbrt (+ (exp (- x)) (exp x)))) (sqrt (* (- (exp x) (exp (- x))) (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 2 (cbrt (+ (exp (- x)) (exp x)))) (sqrt (* (- (exp x) (exp (- x))) (+ (exp (- x)) (exp x))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) (/ (- 1) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (cbrt (+ (exp (- x)) (exp x)))) (sqrt (* (- (exp x) (exp (- x))) (+ (exp (- x)) (exp x))))) (/ (sqrt (+ (exp x) (/ (- 1) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2))))) * * * * [misc]progress: [ 66 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (/ 2 (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (sqrt (- (exp (+ x x)) (exp (+ (- x) (- x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 2 (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (sqrt (- (exp (+ x x)) (exp (+ (- x) (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) (/ (- 1) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (exp x) (/ (- 1) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))))) * * * * [misc]progress: [ 67 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (sqrt (tanh x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) (sqrt (tanh x)))) * * * * [misc]progress: [ 68 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (sqrt (tanh x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) (sqrt (tanh x)))) * * * * [misc]progress: [ 69 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (/ 2 (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (sqrt (- (exp (+ x x)) (exp (+ (- x) (- x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 2 (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) (sqrt (- (exp (+ x x)) (exp (+ (- x) (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp x) (/ (- 1) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (/ (sqrt (+ (exp x) (/ (- 1) (exp x)))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2))))) * * * * [misc]progress: [ 70 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))))) * [enter]simplify: Simplifying (/ (sqrt (- (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (163 enodes) * [exit]simplify: Simplified to (sqrt (tanh x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 2 (sqrt (* (+ (exp (- x)) (exp x)) (- (exp x) (exp (- x)))))) (sqrt (tanh x)))) * * * * [misc]progress: [ 71 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x))))))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/3)))) * * * * [misc]progress: [ 75 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))))) (pow (+ (exp (- x)) (exp x)) (* 1/3 1/2)))) * * * * [misc]progress: [ 76 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)))) * * * * [misc]progress: [ 77 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt 1)) (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 78 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt 1)) (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 79 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (sqrt (+ (exp x) (exp (- x)))))) (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)))) * * * * [misc]progress: [ 80 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) 1) (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 81 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (cbrt (/ (* 2 2) (+ (exp (- x)) (exp x)))) (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))))) * * * * [misc]progress: [ 82 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (/ 2 (sqrt (+ (exp (- x)) (exp x))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 2 (sqrt (+ (exp x) (exp (- x))))))))) * * * * [misc]progress: [ 83 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp (* 3 (- x))) (exp (* 3 x))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))))) * * * * [misc]progress: [ 86 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (* (- (exp x) (exp (- x))) (+ (exp (- x)) (exp x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 2 (sqrt (* (- (exp x) (exp (- x))) (+ (exp (- x)) (exp x))))) (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x))))))) * * * * [misc]progress: [ 87 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (sqrt (- (* (exp (- x)) (exp (- x))) (- (exp (- x x)) (exp (+ x x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3)))) (sqrt (- (* (exp (- x)) (exp (- x))) (- (exp (- x x)) (exp (+ x x))))))) * * * * [misc]progress: [ 88 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (105 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) (/ (- 1) (exp x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))))) (sqrt (+ (exp x) (/ (- 1) (exp x)))))) * * * * [misc]progress: [ 89 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (cbrt (+ (exp (- x)) (exp x))) (sqrt (cbrt (+ (exp x) (exp (- x)))))))) * * * * [misc]progress: [ 97 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)) (sqrt (sqrt (+ (exp x) (exp (- x)))))))) * * * * [misc]progress: [ 98 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt 1) (sqrt (+ (exp x) (exp (- x))))))) * * * * [misc]progress: [ 99 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (* (sqrt 1) (sqrt (+ (exp x) (exp (- x))))))) * * * * [misc]progress: [ 100 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- (* x 3))) (exp (* x 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (+ (exp (- (* x 3))) (exp (* x 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))))) * * * * [misc]progress: [ 101 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (sqrt (* (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt (* (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (sqrt (- (exp x) (exp (- x))))))) * * * * [misc]progress: [ 102 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (fabs (sqrt (+ (exp (- x)) (exp x)))))) * * * * [misc]progress: [ 104 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (* (cbrt (+ (exp (- x)) (exp x))) (sqrt (cbrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 112 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (exp x) (exp (- x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (118 enodes) * [exit]simplify: Simplified to (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (* (pow (+ (exp (- x)) (exp x)) (* 1/2 1/2)) (sqrt (sqrt (+ (exp x) (exp (- x))))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 113 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (* (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 114 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (* (sqrt 1) (sqrt (+ (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 115 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (exp x) 3) (pow (exp (- x)) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- (* x 3))) (exp (* x 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (/ (sqrt (+ (exp (- (* x 3))) (exp (* x 3)))) (sqrt (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 116 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * [exit]simplify: Simplified to (sqrt (* (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (/ (sqrt (* (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (sqrt (- (exp x) (exp (- x)))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 117 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ 2 (fabs (sqrt (+ (exp (- x)) (exp x))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 119 / 131 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (sqrt 2))) (* 3/4 (/ (pow x 4) (pow (sqrt 2) 5)))) (+ (* 1/12 (/ (pow x 4) (pow (sqrt 2) 3))) (/ (pow x 2) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (427 enodes) * [exit]simplify: Simplified to (- (+ (/ 2 (sqrt 2)) (/ (* (pow x 4) 3/4) (pow (sqrt 2) 5))) (+ (/ (* 1/12 (pow x 4)) (* (sqrt 2) 2)) (/ (* x x) (* (sqrt 2) 2)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (+ (/ 2 (sqrt 2)) (/ (* (pow x 4) 3/4) (pow (sqrt 2) 5))) (+ (/ (* 1/12 (pow x 4)) (* (sqrt 2) 2)) (/ (* x x) (* (sqrt 2) 2)))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 121 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (sqrt (/ 1 (+ (exp (- x)) (exp x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (171 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt 1)) (sqrt (+ (exp (- x)) (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* 2 (sqrt 1)) (sqrt (+ (exp (- x)) (exp x)))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 122 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (sqrt (/ 1 (+ (exp (* -1 x)) (exp x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* 2 (sqrt 1)) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 123 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (* 2 (/ (pow x 4) (pow (sqrt 2) 6)))) (+ (* 1/6 (/ (pow x 4) (pow (sqrt 2) 4))) (* 2 (/ (pow x 2) (pow (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (436 enodes) * [exit]simplify: Simplified to (- (+ 1 (/ (* 2 (pow x 4)) (pow (sqrt 2) 6))) (+ (/ (* (* 2 x) x) (sqrt (pow 2 4))) (/ (* 1/6 (pow x 4)) (sqrt (pow 2 4))))) * [misc]simplify: Simplified (2) to (λ (x) (- (+ 1 (/ (* 2 (pow x 4)) (pow (sqrt 2) 6))) (+ (/ (* (* 2 x) x) (sqrt (pow 2 4))) (/ (* 1/6 (pow x 4)) (sqrt (pow 2 4)))))) * * * * [misc]progress: [ 124 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (- x)) (exp x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * [exit]simplify: Simplified to (/ 1 (cosh x)) * [misc]simplify: Simplified (2) to (λ (x) (/ 1 (cosh x))) * * * * [misc]progress: [ 125 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * [exit]simplify: Simplified to (/ 1 (cosh x)) * [misc]simplify: Simplified (2) to (λ (x) (/ 1 (cosh x))) * * * * [misc]progress: [ 126 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (/ (pow x 4) (sqrt 2))) (+ (sqrt 2) (* 1/2 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (370 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 1/2 (/ (sqrt 2) (* x x))) (sqrt 2)) (/ 1/24 (/ (sqrt 2) (pow x 4)))) (/ (* (pow x 4) 1/8) (* (sqrt 2) 2))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (- (+ (+ (/ 1/2 (/ (sqrt 2) (* x x))) (sqrt 2)) (/ 1/24 (/ (sqrt 2) (pow x 4)))) (/ (* (pow x 4) 1/8) (* (sqrt 2) 2))))) * * * * [misc]progress: [ 127 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (- x)) (exp x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 128 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp (- x)) (exp x))))) * * * * [misc]progress: [ 129 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (/ (pow x 4) (sqrt 2))) (+ (sqrt 2) (* 1/2 (/ (pow x 2) (sqrt 2))))) (* 1/8 (/ (pow x 4) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (370 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ 1/2 (/ (sqrt 2) (* x x))) (sqrt 2)) (/ 1/24 (/ (sqrt 2) (pow x 4)))) (/ (* (pow x 4) 1/8) (* (sqrt 2) 2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ 2 (- (+ (+ (/ 1/2 (/ (sqrt 2) (* x x))) (sqrt 2)) (/ 1/24 (/ (sqrt 2) (pow x 4)))) (/ (* (pow x 4) 1/8) (* (sqrt 2) 2)))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 130 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (- x)) (exp x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (104 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp x) (exp (- x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x)))))) * * * * [misc]progress: [ 131 / 131 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* -1 x)) (exp x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (- x)) (exp x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ 2 (sqrt (+ (exp (- x)) (exp x)))) (sqrt (+ (exp x) (exp (- 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 (+ (exp x) (exp (- x)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ 2 (+ (exp x) (exp (- x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 2 (+ (exp (- x)) (exp x))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs