* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (exp (* a x)) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) 0) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow x 5)) 0) into (* 1/120 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/120 in x * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) 0) into (* 1/720 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/720 in x * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* x a) 3)) (+ (* 1/2 (pow (* x a) 2)) (* 1 (* x a)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* x a) 2)) (+ (* 1 (* x a)) 1)) into (+ (* a x) (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* (/ 1 a) (/ 1 x)))) into (exp (* a x)) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) into (exp (* a x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (exp (- (exp (* x a)) 1)) * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* a x)) 1)) (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (* x a)) 1)) (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (* (cbrt (- (exp (* x a)) 1)) (cbrt (- (exp (* x a)) 1))) * [enter]simplify: Simplifying (cbrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (pow (- (exp (* x a)) 1) 3) * [exit]simplify: Simplified to (pow (- (exp (* x a)) 1) 3) * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [enter]simplify: Simplifying (sqrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* a x)) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (exp (* (+ 1 2) (* x a))) 1) * [exit]simplify: Simplified to (- (exp (* (+ 1 2) (* x a))) 1) * [enter]simplify: Simplifying (+ (* (exp (* a x)) (exp (* a x))) (+ (* 1 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (+ (pow (exp a) (+ x x)) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (+ (pow (exp a) (+ x x)) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* a x)) (exp (* a x))) (* 1 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [enter]simplify: Simplifying (- (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp a) * [exit]simplify: Simplified to (exp a) * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* x a) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (exp (* x a))) * [exit]simplify: Simplified to (exp (exp (* x a))) * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (* x a))) (cbrt (exp (* x a)))) * [exit]simplify: Simplified to (* (cbrt (exp (* x a))) (cbrt (exp (* x a)))) * [enter]simplify: Simplifying (cbrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (exp (* x a))) * [exit]simplify: Simplified to (cbrt (exp (* x a))) * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (* a x)) (exp (* a x))) (exp (* a x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (exp (* (+ 1 2) (* x a))) * [exit]simplify: Simplified to (exp (* (+ 1 2) (* x a))) * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (+ (+ (* (* x (* 1/6 x)) (* (* a a) (* a x))) (* (* (* a x) 1/2) (* a x))) (* a x)) * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* a x) (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) 1/2) (* x a)) * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (* (* (* x a) (* x a)) 1/2) (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (* x a) (* x a)) 1/2) (* x a)) in a * [misc]taylor: Taking taylor expansion of (* (* (* x a) (* x a)) 1/2) in a * [misc]taylor: Taking taylor expansion of (* (* x a) (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (* x a) (* x a)) 1/2) (* x a)) in x * [misc]taylor: Taking taylor expansion of (* (* (* x a) (* x a)) 1/2) in x * [misc]taylor: Taking taylor expansion of (* (* x a) (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (* (* x a) (* x a)) 1/2) (* x a)) in x * [misc]taylor: Taking taylor expansion of (* (* (* x a) (* x a)) 1/2) in x * [misc]taylor: Taking taylor expansion of (* (* x a) (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 a) (* a 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]taylor: Taking taylor expansion of a in a * [misc]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 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a a) (* 0 0))) into (pow a 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* (pow a 2) 1/2))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a 0) (+ (* 0 a) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (pow a 2) 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a 0) (+ (* 0 0) (+ (* 0 a) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (pow a 2) 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (* 1 (* a x)) into (* a x) * [misc]approximate: Taking taylor expansion of (+ (* (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) 1/2) (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) 1/2) (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) 1/2) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) 1/2) (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) 1/2) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) 1/2) (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) 1/2) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1/2) into (/ 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow a 2)) 0) into (* 1/2 (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x)))) (* 1/2 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x))) 2))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) * [misc]approximate: Taking taylor expansion of (+ (* (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) 1/2) (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) 1/2) (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) 1/2) in a * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) 1/2) (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) 1/2) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) 1/2) (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) 1/2) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) 1/2) into (/ 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (/ 1/2 (pow a 2)) 0) into (* 1/2 (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x))))) (* 1/2 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x)))) 2))) into (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (* x a) (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (* x a) (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x a) (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* x a) (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 a) (* a 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a a) (* 0 0))) into (pow a 2) * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a 0) (+ (* 0 a) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 a)) (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (* 1 (pow (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x))) 2)) into (* (pow a 2) (pow x 2)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- a))) (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (* 1 (pow (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x)))) 2)) into (* (pow a 2) (pow x 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (* (* x a) (* x a)) 1/2)) (exp (* x a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (pow (exp a) (+ x (* (* a 1/2) (* x x)))) * [exit]simplify: Simplified to (pow (exp a) (+ x (* (* a 1/2) (* x x)))) * * * * [misc]progress: [ 2 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (* (* x a) (* x a)) 1/2) (* x a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (+ (* a x) (* (* (* a x) (* a x)) 1/2))) * [exit]simplify: Simplified to (log (+ (* a x) (* (* (* a x) (* a x)) 1/2))) * * * * [misc]progress: [ 4 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (* (* x a) (* x a)) 1/2) (* x a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (pow (exp (* a x)) (+ 1 (* (* a x) 1/2))) * [exit]simplify: Simplified to (pow (exp (* a x)) (+ 1 (* (* a x) 1/2))) * * * * [misc]progress: [ 5 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* (* (* x a) (* x a)) 1/2) (* x a))) (cbrt (+ (* (* (* x a) (* x a)) 1/2) (* x a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a x) (* (* (* a x) (* a x)) 1/2))) (cbrt (+ (* a x) (* (* (* a x) (* a x)) 1/2)))) * [exit]simplify: Simplified to (* (cbrt (+ (* a x) (* (* (* a x) (* a x)) 1/2))) (cbrt (+ (* a x) (* (* (* a x) (* a x)) 1/2)))) * [enter]simplify: Simplifying (cbrt (+ (* (* (* x a) (* x a)) 1/2) (* x a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (+ (* a x) (* (* (* a x) (* a x)) 1/2))) * [exit]simplify: Simplified to (cbrt (+ (* a x) (* (* (* a x) (* a x)) 1/2))) * * * * [misc]progress: [ 6 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* (* (* x a) (* x a)) 1/2) (* x a)) (+ (* (* (* x a) (* x a)) 1/2) (* x a))) (+ (* (* (* x a) (* x a)) 1/2) (* x a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (pow (+ (* a x) (* (* (* a x) (* a x)) 1/2)) 3) * [exit]simplify: Simplified to (pow (+ (* a x) (* (* (* a x) (* a x)) 1/2)) 3) * * * * [misc]progress: [ 7 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (* (* x a) (* x a)) 1/2) (* x a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a x) (* (* (* a x) (* a x)) 1/2))) * [exit]simplify: Simplified to (sqrt (+ (* a x) (* (* (* a x) (* a x)) 1/2))) * [enter]simplify: Simplifying (sqrt (+ (* (* (* x a) (* x a)) 1/2) (* x a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a x) (* (* (* a x) (* a x)) 1/2))) * [exit]simplify: Simplified to (sqrt (+ (* a x) (* (* (* a x) (* a x)) 1/2))) * * * * [misc]progress: [ 8 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* (* (* x a) (* x a)) 1/2) 3) (pow (* x a) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (+ (pow (* a x) 3) (pow (* (* (* a x) 1/2) (* a x)) 3)) * [exit]simplify: Simplified to (+ (pow (* a x) 3) (pow (* (* (* a x) 1/2) (* a x)) 3)) * [enter]simplify: Simplifying (+ (* (* (* (* x a) (* x a)) 1/2) (* (* (* x a) (* x a)) 1/2)) (- (* (* x a) (* x a)) (* (* (* (* x a) (* x a)) 1/2) (* x a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ (* (* (* a x) 1/2) (* (* a x) 1/2)) (- 1 (* (* a x) 1/2)))) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ (* (* (* a x) 1/2) (* (* a x) 1/2)) (- 1 (* (* a x) 1/2)))) * * * * [misc]progress: [ 9 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (* (* x a) (* x a)) 1/2) (* (* (* x a) (* x a)) 1/2)) (* (* x a) (* x a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (- (* (* (* (* a x) (* a x)) 1/2) (* (* (* a x) (* a x)) 1/2)) (* (* a x) (* a x))) * [exit]simplify: Simplified to (- (* (* (* (* a x) (* a x)) 1/2) (* (* (* a x) (* a x)) 1/2)) (* (* a x) (* a x))) * [enter]simplify: Simplifying (- (* (* (* x a) (* x a)) 1/2) (* x a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (- (* (* (* a x) (* a x)) 1/2) (* a x)) * [exit]simplify: Simplified to (- (* (* (* a x) (* a x)) 1/2) (* a x)) * * * * [misc]progress: [ 11 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 13 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x a) (* x a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (* a x) (* a x)) * [exit]simplify: Simplified to (* (* a x) (* a x)) * * * * [misc]progress: [ 14 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 16 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* x a)) (log (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * * * * [misc]progress: [ 18 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* x a) (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * * * * [misc]progress: [ 19 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* x a) (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (exp (* (* a x) (* a x))) * [exit]simplify: Simplified to (exp (* (* a x) (* a x))) * * * * [misc]progress: [ 20 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* x a) (* x a)) (* x a)) (* (* (* x a) (* x a)) (* x a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (pow (* a x) 3) (pow (* a x) 3)) * [exit]simplify: Simplified to (* (pow (* a x) 3) (pow (* a x) 3)) * * * * [misc]progress: [ 21 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* x a) (* x a))) (cbrt (* (* x a) (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* a x) (* a x))) (cbrt (* (* a x) (* a x)))) * [exit]simplify: Simplified to (* (cbrt (* (* a x) (* a x))) (cbrt (* (* a x) (* a x)))) * [enter]simplify: Simplifying (cbrt (* (* x a) (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cbrt (* (* a x) (* a x))) * [exit]simplify: Simplified to (cbrt (* (* a x) (* a x))) * * * * [misc]progress: [ 22 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* x a) (* x a)) (* (* x a) (* x a))) (* (* x a) (* x a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (pow (* a x) 3) (pow (* a x) 3)) * [exit]simplify: Simplified to (* (pow (* a x) 3) (pow (* a x) 3)) * * * * [misc]progress: [ 23 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* x a) (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (fabs (* a x)) * [exit]simplify: Simplified to (fabs (* a x)) * [enter]simplify: Simplifying (sqrt (* (* x a) (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (fabs (* a x)) * [exit]simplify: Simplified to (fabs (* a x)) * * * * [misc]progress: [ 24 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x a) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* x (* a x)) * [exit]simplify: Simplified to (* x (* a x)) * * * * [misc]progress: [ 26 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (* x a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* a (* x a)) * [exit]simplify: Simplified to (* a (* x a)) * * * * [misc]progress: [ 27 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* a x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 29 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (+ (* a x) (* 1/2 (* (* a x) (* a x)))) * * * * [misc]progress: [ 30 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (+ (* a x) (* 1/2 (* (* a x) (* a x)))) * * * * [misc]progress: [ 31 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 0 1/2) (* x a)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 32 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (pow a 2) (pow x 2)) 1/2) (* x a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (+ (* x a) (* 1/2 (* (* x a) (* x a)))) * * * * [misc]progress: [ 33 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (pow a 2) (pow x 2)) 1/2) (* x a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (+ (* x a) (* 1/2 (* (* x a) (* x a)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (* 1/2 x) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/8 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/48 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/384 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/384 in x * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow x 5)) (+ (* 2 (* (* 1/2 x) (* 1/384 (pow x 4)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3840 (pow x 5)) 0) into (* 1/3840 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/3840 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/3840 in x * [misc]backup-simplify: Simplify 1/3840 into 1/3840 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow x 6)) (pow (* 1/48 (pow x 3)) 2) (+ (* 2 (* (* 1/2 x) (* 1/3840 (pow x 5)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/384 (pow x 4)))))) (* 2 1)) into (* 1/46080 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/46080 (pow x 6)) 0) into (* 1/46080 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/46080 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/46080 in x * [misc]backup-simplify: Simplify 1/46080 into 1/46080 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow (* x a) 3)) (+ (* 1/8 (pow (* x a) 2)) (* 1/2 (* x a)))) into (+ (* 1/48 (* (pow a 3) (pow x 3))) (+ (* 1/8 (* (pow a 2) (pow x 2))) (* 1/2 (* a x)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* a x)))) 1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x))))) 1) into (- (sqrt (exp (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* a x)))) 1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x)))))) 1) into (- (sqrt (exp (* a x))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 x)) (* (* 1/2 x) 0)) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (pow x 2))) (+ (* (* 1/2 x) (* 1/2 x)) (* (* 1/8 (pow x 2)) 0))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/48 (pow x 3))) (+ (* (* 1/2 x) (* 1/8 (pow x 2))) (+ (* (* 1/8 (pow x 2)) (* 1/2 x)) (* (* 1/48 (pow x 3)) 0)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/384 (pow x 4))) (+ (* (* 1/2 x) (* 1/48 (pow x 3))) (+ (* (* 1/8 (pow x 2)) (* 1/8 (pow x 2))) (+ (* (* 1/48 (pow x 3)) (* 1/2 x)) (* (* 1/384 (pow x 4)) 0))))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow x 5)) (+ (* 2 (* (* 1/2 x) (* 1/384 (pow x 4)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3840 (pow x 5)) 0) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow x 5)) (+ (* 2 (* (* 1/2 x) (* 1/384 (pow x 4)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 1/3840 (pow x 5)) 0) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/3840 (pow x 5))) (+ (* (* 1/2 x) (* 1/384 (pow x 4))) (+ (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3))) (+ (* (* 1/48 (pow x 3)) (* 1/8 (pow x 2))) (+ (* (* 1/384 (pow x 4)) (* 1/2 x)) (* (* 1/3840 (pow x 5)) 0)))))) into (* 1/120 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/120 in x * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow x 6)) (pow (* 1/48 (pow x 3)) 2) (+ (* 2 (* (* 1/2 x) (* 1/3840 (pow x 5)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/384 (pow x 4)))))) (* 2 1)) into (* 1/46080 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/46080 (pow x 6)) 0) into (* 1/46080 (pow x 6)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow x 6)) (pow (* 1/48 (pow x 3)) 2) (+ (* 2 (* (* 1/2 x) (* 1/3840 (pow x 5)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/384 (pow x 4)))))) (* 2 1)) into (* 1/46080 (pow x 6)) * [misc]backup-simplify: Simplify (+ (* 1/46080 (pow x 6)) 0) into (* 1/46080 (pow x 6)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/46080 (pow x 6))) (+ (* (* 1/2 x) (* 1/3840 (pow x 5))) (+ (* (* 1/8 (pow x 2)) (* 1/384 (pow x 4))) (+ (* (* 1/48 (pow x 3)) (* 1/48 (pow x 3))) (+ (* (* 1/384 (pow x 4)) (* 1/8 (pow x 2))) (+ (* (* 1/3840 (pow x 5)) (* 1/2 x)) (* (* 1/46080 (pow x 6)) 0))))))) into (* 1/720 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/720 in x * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* x a) 3)) (+ (* 1/2 (pow (* x a) 2)) (* 1 (* x a)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x))) * [misc]approximate: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* a x))))) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x)))))) (- (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x))))) 1)) into (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * [misc]approximate: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* a x))))) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))))) (- (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x)))))) 1)) into (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (* 1/2 x) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/8 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/48 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/384 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/384 in x * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow (* x a) 2)) (+ (* 1/2 (* x a)) 2)) into (+ (* 1/2 (* a x)) (+ 2 (* 1/8 (* (pow a 2) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* a x))))) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* a x))))) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x)))))) into (+ (sqrt (exp (* a x))) 1) * [misc]approximate: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* a x))))) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* a x))))) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))))) into (+ (sqrt (exp (* a x))) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (exp (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]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 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* x a) 2)) (+ (* 1 (* x a)) 1)) into (+ (* a x) (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* (/ 1 a) (/ 1 x)))) into (exp (* a x)) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) into (exp (* a x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (log (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (exp (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqrt (exp (* a x))) 1)) (cbrt (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) * [enter]simplify: Simplifying (cbrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (pow (- (sqrt (exp (* x a))) 1) 3) * [exit]simplify: Simplified to (pow (- (sqrt (exp (* x a))) 1) 3) * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (sqrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (exp (* a x))) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) * [enter]simplify: Simplifying (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (sqrt (exp (* a x))) 1)) (log (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (+ (log (- (sqrt (exp (* x a))) 1)) (log (+ (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (+ (log (- (sqrt (exp (* x a))) 1)) (log (+ (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (log (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (log (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (exp (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (exp (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (sqrt (exp (* a x))) 1) (+ (sqrt (exp (* a x))) 1)) (+ (sqrt (exp (* a x))) 1)) (* (* (- (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (* (pow (+ 1 (sqrt (exp (* x a)))) 3) (pow (- (sqrt (exp (* x a))) 1) 3)) * [exit]simplify: Simplified to (* (pow (+ 1 (sqrt (exp (* x a)))) 3) (pow (- (sqrt (exp (* x a))) 1) 3)) * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1))) (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * [exit]simplify: Simplified to (* (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1))) (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * [enter]simplify: Simplifying (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (pow (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a))))) 3) * [exit]simplify: Simplified to (pow (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a))))) 3) * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (sqrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) * [enter]simplify: Simplifying (sqrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (sqrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (sqrt (exp (* a x))) 3) (pow 1 3)) (- (pow (sqrt (exp (* a x))) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (+ 1 (* (exp (* x a)) (sqrt (exp (* x a)))))) * [exit]simplify: Simplified to (* (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (+ 1 (* (exp (* x a)) (sqrt (exp (* x a)))))) * [enter]simplify: Simplifying (* (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (- (* 1 1) (* (sqrt (exp (* a x))) 1))) (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) (+ 1 (exp (* x a)))) (- (+ 1 (exp (* x a))) (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) (+ 1 (exp (* x a)))) (- (+ 1 (exp (* x a))) (sqrt (exp (* x a))))) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (sqrt (exp (* a x))) 3) (pow 1 3)) (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (+ (- (exp (* x a)) 1) (* (* (- (exp (* x a)) 1) (exp (* x a))) (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ (- (exp (* x a)) 1) (* (* (- (exp (* x a)) 1) (exp (* x a))) (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (* (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (- (* 1 1) (* (sqrt (exp (* a x))) 1))) (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (+ 1 (exp (* x a))) (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (+ 1 (exp (* x a))) (sqrt (exp (* x a))))) * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) (- (pow (sqrt (exp (* a x))) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- (exp (* x a)) 1) (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1)) * [exit]simplify: Simplified to (* (- (exp (* x a)) 1) (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1)) * [enter]simplify: Simplifying (* (- (sqrt (exp (* a x))) 1) (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (* (- (exp (* x a)) 1) (- (exp (* x a)) 1)) * [enter]simplify: Simplifying (* (- (sqrt (exp (* a x))) 1) (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (sqrt (exp (* a x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ (exp (* x a)) (sqrt (exp (* x a)))) * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (- (+ 1 (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (- (+ 1 (sqrt (exp (* x a))))) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (exp (* a x))) (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) (exp (* x a))) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) (exp (* x a))) * [enter]simplify: Simplifying (* (- 1) (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (- (+ (sqrt (exp (* a x))) 1)) * [exit]simplify: Simplified to (- (+ (sqrt (exp (* a x))) 1)) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (* (cbrt (- (sqrt (exp (* a x))) 1)) (cbrt (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (sqrt (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (exp (* x a))) 1)) (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (exp (* x a))) 1)) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (+ (sqrt (sqrt (exp (* a x)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (+ (sqrt (exp (* x a))) 1) (* (+ (sqrt (exp (* x a))) 1) (sqrt (sqrt (exp (* x a)))))) * [exit]simplify: Simplified to (+ (+ (sqrt (exp (* x a))) 1) (* (+ (sqrt (exp (* x a))) 1) (sqrt (sqrt (exp (* x a)))))) * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (+ (sqrt (sqrt (exp (* a x)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (+ (sqrt (exp (* x a))) 1) (* (+ (sqrt (exp (* x a))) 1) (sqrt (sqrt (exp (* x a)))))) * [exit]simplify: Simplified to (+ (+ (sqrt (exp (* x a))) 1) (* (+ (sqrt (exp (* x a))) 1) (sqrt (sqrt (exp (* x a)))))) * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqrt (exp (* a x))) 1)) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (cbrt (+ (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (cbrt (+ (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (sqrt (exp (* a x))) 1)) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (sqrt (+ (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (sqrt (+ (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (pow (sqrt (exp (* a x))) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (* (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (+ (- (exp (* x a)) 1) (* (- (exp (* x a)) 1) (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ (- (exp (* x a)) 1) (* (- (exp (* x a)) 1) (sqrt (exp (* x a))))) * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (sqrt (exp (* a x))) 3) (pow 1 3)) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (+ (- (sqrt (exp (* x a))) 1) (* (* (exp (* x a)) (sqrt (exp (* x a)))) (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (+ (- (sqrt (exp (* x a))) 1) (* (* (exp (* x a)) (sqrt (exp (* x a)))) (- (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (- (exp (* x a)) 1) (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (* (- (exp (* x a)) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (log (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (exp (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (sqrt (exp (* a x))) 1)) (cbrt (+ (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (exp (* x a))) 1)) (cbrt (+ (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (exp (* x a))) 1)) (cbrt (+ (sqrt (exp (* x a))) 1))) * [enter]simplify: Simplifying (cbrt (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (sqrt (exp (* a x))) 1) (+ (sqrt (exp (* a x))) 1)) (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (pow (+ 1 (sqrt (exp (* x a)))) 3) * [exit]simplify: Simplified to (pow (+ 1 (sqrt (exp (* x a)))) 3) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (sqrt (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (exp (* a x))) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (+ 1 (* (exp (* x a)) (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (* (exp (* x a)) (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (- (* 1 1) (* (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (- (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [enter]simplify: Simplifying (- (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp a) * [exit]simplify: Simplified to (exp a) * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* x a) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (exp (* x a))) * [exit]simplify: Simplified to (exp (exp (* x a))) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (* a x))) (cbrt (exp (* a x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (* x a))) (cbrt (exp (* x a)))) * [exit]simplify: Simplified to (* (cbrt (exp (* x a))) (cbrt (exp (* x a)))) * [enter]simplify: Simplifying (cbrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (exp (* x a))) * [exit]simplify: Simplified to (cbrt (exp (* x a))) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (exp (* a x)) (exp (* a x))) (exp (* a x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (exp (* (+ 1 2) (* x a))) * [exit]simplify: Simplified to (exp (* (+ 1 2) (* x a))) * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (+ (* 1/48 (* (pow a 3) (pow x 3))) (+ (* 1/8 (* (pow a 2) (pow x 2))) (* 1/2 (* a x))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (* (+ (* a (+ (* (* x x) (* 1/8 a)) (* 1/2 x))) (* (* 1/48 (* a a)) (* (* x x) (* x a)))) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (+ (+ (* (* x (* 1/6 x)) (* (* a a) (* a x))) (* (* (* a x) 1/2) (* a x))) (* a x)) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1/2 (* a x)) (+ 2 (* 1/8 (* (pow a 2) (pow x 2))))) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (* (+ (* 1/8 (* (* x a) (* x a))) (+ (* a (* 1/2 x)) 2)) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (+ (* a x) (+ 1 (* 1/2 (* (pow a 2) (pow x 2)))))) 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (+ (* (* x a) (* 1/2 (* x a))) (+ (* x a) 1))) 1)) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (* 1/2 x) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/8 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/48 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/384 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/384 in x * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow x 5)) (+ (* 2 (* (* 1/2 x) (* 1/384 (pow x 4)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3840 (pow x 5)) 0) into (* 1/3840 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/3840 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/3840 in x * [misc]backup-simplify: Simplify 1/3840 into 1/3840 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow x 6)) (pow (* 1/48 (pow x 3)) 2) (+ (* 2 (* (* 1/2 x) (* 1/3840 (pow x 5)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/384 (pow x 4)))))) (* 2 1)) into (* 1/46080 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/46080 (pow x 6)) 0) into (* 1/46080 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/46080 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/46080 in x * [misc]backup-simplify: Simplify 1/46080 into 1/46080 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow (* x a) 3)) (+ (* 1/8 (pow (* x a) 2)) (* 1/2 (* x a)))) into (+ (* 1/48 (* (pow a 3) (pow x 3))) (+ (* 1/8 (* (pow a 2) (pow x 2))) (* 1/2 (* a x)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* a x)))) 1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x))))) 1) into (- (sqrt (exp (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* a x)))) 1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x)))))) 1) into (- (sqrt (exp (* a x))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (* 1/2 x) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/8 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/48 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/384 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/384 in x * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow x 5)) (+ (* 2 (* (* 1/2 x) (* 1/384 (pow x 4)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3840 (pow x 5)) 0) into (* 1/3840 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/3840 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/3840 in x * [misc]backup-simplify: Simplify 1/3840 into 1/3840 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow x 6)) (pow (* 1/48 (pow x 3)) 2) (+ (* 2 (* (* 1/2 x) (* 1/3840 (pow x 5)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/384 (pow x 4)))))) (* 2 1)) into (* 1/46080 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/46080 (pow x 6)) 0) into (* 1/46080 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/46080 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/46080 in x * [misc]backup-simplify: Simplify 1/46080 into 1/46080 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow (* x a) 3)) (+ (* 1/8 (pow (* x a) 2)) (* 1/2 (* x a)))) into (+ (* 1/48 (* (pow a 3) (pow x 3))) (+ (* 1/8 (* (pow a 2) (pow x 2))) (* 1/2 (* a x)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* a x)))) 1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x))))) 1) into (- (sqrt (exp (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* a x)))) 1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x)))))) 1) into (- (sqrt (exp (* a x))) 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (* 1/2 x) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]taylor: Taking taylor expansion of (* 1/8 (pow x 2)) in x * [misc]taylor: Taking taylor expansion of 1/8 in x * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/48 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/48 in x * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/384 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/384 in x * [misc]backup-simplify: Simplify 1/384 into 1/384 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (* 1/8 1) into 1/8 * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow x 5)) (+ (* 2 (* (* 1/2 x) (* 1/384 (pow x 4)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3840 (pow x 5)) 0) into (* 1/3840 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/3840 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/3840 in x * [misc]backup-simplify: Simplify 1/3840 into 1/3840 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow x 6)) (pow (* 1/48 (pow x 3)) 2) (+ (* 2 (* (* 1/2 x) (* 1/3840 (pow x 5)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/384 (pow x 4)))))) (* 2 1)) into (* 1/46080 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/46080 (pow x 6)) 0) into (* 1/46080 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/46080 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/46080 in x * [misc]backup-simplify: Simplify 1/46080 into 1/46080 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/48 1) into 1/48 * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow (* x a) 3)) (+ (* 1/8 (pow (* x a) 2)) (* 1/2 (* x a)))) into (+ (* 1/48 (* (pow a 3) (pow x 3))) (+ (* 1/8 (* (pow a 2) (pow x 2))) (* 1/2 (* a x)))) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* a x)))) 1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x))))) 1) into (- (sqrt (exp (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* a x)))) 1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x)))))) 1) into (- (sqrt (exp (* a x))) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) in x * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 1))) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 a)) (* (* 1/2 a) 0)) into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log a)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log x))) into (* 1/3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) in a * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) in a * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 x)) (* (* 1/2 x) 0)) into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log x))) into (* 1/3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) in a * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) in a * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 1))) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/2 x)) (* (* 1/2 x) 0)) into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log x))) into (* 1/3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log x))) into (* 1/3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow x 2)) (pow (* 1/2 x) 2) (+)) (* 2 1)) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 1/8 (pow x 2)) 0) into (* 1/8 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/8 (pow x 2))) (+ (* (* 1/2 x) (* 1/2 x)) (* (* 1/8 (pow x 2)) 0))) into (* 1/2 (pow x 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (pow x 2))) 1)) (pow x 1)))) 1) into (* 1/2 x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 x)) (* 0 (+ (log a) (log x)))) into (* 1/6 x) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow (* 1/6 x) 1) 1)))) into (* 1/6 (* x (exp (* 1/3 (+ (log a) (log x)))))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* x (exp (* 1/3 (+ (log a) (log x)))))) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* x (exp (* 1/3 (+ (log a) (log x))))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log x))) into (* 1/3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 0 (exp (* 1/3 (+ (log a) (log x))))) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (- (* 1/6 (pow x 3)) (+ (* 2 (* (* 1/2 x) (* 1/8 (pow x 2)))))) (* 2 1)) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1/48 (pow x 3)) 0) into (* 1/48 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/48 (pow x 3))) (+ (* (* 1/2 x) (* 1/8 (pow x 2))) (+ (* (* 1/8 (pow x 2)) (* 1/2 x)) (* (* 1/48 (pow x 3)) 0)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (pow x 2))) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (pow x 3))) 1)) (pow x 1)))) 2) into (* 1/24 (pow x 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/24 (pow x 2))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x))))) into (* 1/72 (pow x 2)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow (* 1/6 x) 2) 2)) (* (/ (pow (* 1/72 (pow x 2)) 1) 1)))) into (* 1/36 (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))) * [misc]taylor: Taking taylor expansion of (* 1/36 (* (pow x 2) (exp (* 1/3 (+ (log a) (log x)))))) in x * [misc]taylor: Taking taylor expansion of 1/36 in x * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (* (pow x 2) (exp (* 1/3 (+ (log a) (log x))))) in x * [misc]taylor: Taking taylor expansion of (pow x 2) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log x))) into (* 1/3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (exp (* 1/3 (+ (log a) (log x)))))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1/6 (exp (* 1/3 (+ (log a) (log x))))) (* 0 0)) into (* 1/6 (exp (* 1/3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (* 1/6 (exp (* 1/3 (+ (log a) (log x))))) into (* 1/6 (exp (* 1/3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log a) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow x 4)) (pow (* 1/8 (pow x 2)) 2) (+ (* 2 (* (* 1/2 x) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow x 4)) 0) into (* 1/384 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/384 (pow x 4))) (+ (* (* 1/2 x) (* 1/48 (pow x 3))) (+ (* (* 1/8 (pow x 2)) (* 1/8 (pow x 2))) (+ (* (* 1/48 (pow x 3)) (* 1/2 x)) (* (* 1/384 (pow x 4)) 0))))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 (pow x 2))) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 (* 1/2 (pow x 2))) 1) (pow (* 2 (* 1/6 (pow x 3))) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/24 (pow x 4))) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/24 (pow x 2))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow (* 1/6 x) 3) 6)) (* (/ (pow (* 1/6 x) 1) 1) (/ (pow (* 1/72 (pow x 2)) 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/324 (* (pow x 3) (exp (* 1/3 (+ (log a) (log x)))))) * [misc]taylor: Taking taylor expansion of (* 1/324 (* (pow x 3) (exp (* 1/3 (+ (log a) (log x)))))) in x * [misc]taylor: Taking taylor expansion of 1/324 in x * [misc]backup-simplify: Simplify 1/324 into 1/324 * [misc]taylor: Taking taylor expansion of (* (pow x 3) (exp (* 1/3 (+ (log a) (log x))))) in x * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log x))) into (* 1/3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log a) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (* 1/3 (+ (log a) (log x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 (exp (* 1/3 (+ (log a) (log x))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow x 5)) (+ (* 2 (* (* 1/2 x) (* 1/384 (pow x 4)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3840 (pow x 5)) 0) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow x 5)) (+ (* 2 (* (* 1/2 x) (* 1/384 (pow x 4)))) (* 2 (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3)))))) (* 2 1)) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 1/3840 (pow x 5)) 0) into (* 1/3840 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 2 (* 1/3840 (pow x 5))) (+ (* (* 1/2 x) (* 1/384 (pow x 4))) (+ (* (* 1/8 (pow x 2)) (* 1/48 (pow x 3))) (+ (* (* 1/48 (pow x 3)) (* 1/8 (pow x 2))) (+ (* (* 1/384 (pow x 4)) (* 1/2 x)) (* (* 1/3840 (pow x 5)) 0)))))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* 1/2 (pow x 2))) 4)) (pow x 4))) (* 12 (/ (* (pow (* 1 (* 1/2 (pow x 2))) 2) (pow (* 2 (* 1/6 (pow x 3))) 1)) (pow x 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/6 (pow x 3))) 2)) (pow x 2))) (* -4 (/ (* (pow (* 1 (* 1/2 (pow x 2))) 1) 1 (pow (* 6 (* 1/24 (pow x 4))) 1)) (pow x 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/120 (pow x 5))) 1)) (pow x 1)))) 24) into (* -1/2880 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2880 (pow x 4))) (+ (* 0 0) (+ (* 0 (* 1/24 (pow x 2))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x))))))) into (- (* 1/8640 (pow x 4))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log x)))) (+ (* (/ (pow (* 1/6 x) 4) 24)) (* (/ (pow (* 1/6 x) 2) 2) (/ (pow (* 1/72 (pow x 2)) 1) 1)) (* (/ (pow (* 1/6 x) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/72 (pow x 2)) 2) 2)) (* (/ (pow (- (* 1/8640 (pow x 4))) 1) 1)))) into (* 1/4860 (* (pow x 4) (exp (* 1/3 (+ (log a) (log x)))))) * [misc]taylor: Taking taylor expansion of (* 1/4860 (* (pow x 4) (exp (* 1/3 (+ (log a) (log x)))))) in x * [misc]taylor: Taking taylor expansion of 1/4860 in x * [misc]backup-simplify: Simplify 1/4860 into 1/4860 * [misc]taylor: Taking taylor expansion of (* (pow x 4) (exp (* 1/3 (+ (log a) (log x))))) in x * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log a) (log x)) in x * [misc]taylor: Taking taylor expansion of (log a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (log a) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log x))) into (* 1/3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log x)))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 1 (exp (* 1/3 (+ (log a) (log x))))) into (exp (* 1/3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 1/36 (exp (* 1/3 (+ (log a) (log x))))) into (* 1/36 (exp (* 1/3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (* 1/36 (exp (* 1/3 (+ (log a) (log x))))) into (* 1/36 (exp (* 1/3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 1/36 (exp (* 1/3 (+ (log a) (log x))))) (pow (* x a) 2)) (+ (* (* 1/6 (exp (* 1/3 (+ (log a) (log x))))) (* x a)) (exp (* 1/3 (+ (log a) (log x)))))) into (+ (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x))))))) (+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (exp (* 1/3 (+ (log a) (log x)))))) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))) in x * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) into (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) into (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))) in a * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))) in a * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) into (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) into (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))) in a * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1))) in a * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 a) (/ 1 x)))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) into (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) into (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* a x))))) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) into (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) into (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* (+ 1 (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x)))))) (- (sqrt (exp (/ 1 (* (/ 1 a) (/ 1 x))))) 1)) 1/3) into (pow (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))) in x * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))) in x * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) into (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) into (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))) in a * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))) in a * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) into (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) into (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))) in a * [misc]taylor: Rewrote expression to (pow (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1))) in a * [misc]taylor: Taking taylor expansion of (* (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1)) in a * [misc]taylor: Taking taylor expansion of (+ (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) 1) in a * [misc]taylor: Taking taylor expansion of (sqrt (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) 1) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) into (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) into (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 (sqrt (exp (/ 1 (* a x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of (- (sqrt (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (sqrt (exp (/ 1 (* a x)))) into (sqrt (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 (* a x)))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (sqrt (exp (/ 1 (* a x))))) into (+ 1 (sqrt (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqrt (exp (/ 1 (* a x)))) -1) into (- (sqrt (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) into (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) into (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) into (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]backup-simplify: Simplify (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) into (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 (* a 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 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ 1 (sqrt (exp (/ 1 (* a x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (sqrt (exp (/ 1 (* a x)))) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (+ 1 (sqrt (exp (/ 1 (* a x))))) (- (sqrt (exp (/ 1 (* a x)))) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* (+ 1 (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))))) (- (sqrt (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x)))))) 1)) 1/3) into (pow (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (log (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (exp (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqrt (exp (* a x))) 1)) (cbrt (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) * [enter]simplify: Simplifying (cbrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (pow (- (sqrt (exp (* x a))) 1) 3) * [exit]simplify: Simplified to (pow (- (sqrt (exp (* x a))) 1) 3) * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (sqrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (exp (* a x))) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) * [enter]simplify: Simplifying (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (log (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 15 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (exp (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqrt (exp (* a x))) 1)) (cbrt (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) * [enter]simplify: Simplifying (cbrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (pow (- (sqrt (exp (* x a))) 1) 3) * [exit]simplify: Simplified to (pow (- (sqrt (exp (* x a))) 1) 3) * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (sqrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (exp (* a x))) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) * [enter]simplify: Simplifying (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (log (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 27 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (exp (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sqrt (exp (* a x))) 1)) (cbrt (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (exp (* x a))) 1)) (cbrt (- (sqrt (exp (* x a))) 1))) * [enter]simplify: Simplifying (cbrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (pow (- (sqrt (exp (* x a))) 1) 3) * [exit]simplify: Simplified to (pow (- (sqrt (exp (* x a))) 1) 3) * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (sqrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (sqrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (exp (* a x))) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) * [enter]simplify: Simplifying (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 33 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 35 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * * * * [misc]progress: [ 36 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (+ 1 (sqrt (sqrt (exp (* x a))))) * [enter]simplify: Simplifying (- (sqrt (sqrt (exp (* a x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * [exit]simplify: Simplified to (- (sqrt (sqrt (exp (* x a)))) 1) * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * [exit]simplify: Simplified to (log (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * [exit]simplify: Simplified to (exp (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (cbrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ (pow (sqrt (exp (* a x))) 3) (pow 1 3)) (- (pow (sqrt (exp (* a x))) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (cbrt (* (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (+ 1 (* (exp (* x a)) (sqrt (exp (* x a))))))) * [exit]simplify: Simplified to (cbrt (* (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (+ 1 (* (exp (* x a)) (sqrt (exp (* x a))))))) * [enter]simplify: Simplifying (cbrt (* (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (- (* 1 1) (* (sqrt (exp (* a x))) 1))) (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (cbrt (* (- (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))))) * [exit]simplify: Simplified to (cbrt (* (- (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))))) * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ (pow (sqrt (exp (* a x))) 3) (pow 1 3)) (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (cbrt (* (+ (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (- (exp (* x a)) 1))) * [enter]simplify: Simplifying (cbrt (* (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (- (* 1 1) (* (sqrt (exp (* a x))) 1))) (+ (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (+ 1 (exp (* x a))) (sqrt (exp (* x a)))))) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (+ 1 (exp (* x a))) (sqrt (exp (* x a)))))) * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) (- (pow (sqrt (exp (* a x))) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cbrt (* (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (cbrt (* (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1) (- (exp (* x a)) 1))) * [enter]simplify: Simplifying (cbrt (* (- (sqrt (exp (* a x))) 1) (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (cbrt (* (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a)))) (- (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (cbrt (* (- (exp (* x a)) 1) (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (cbrt (* (- (exp (* x a)) 1) (- (exp (* x a)) 1))) * [enter]simplify: Simplifying (cbrt (* (- (sqrt (exp (* a x))) 1) (+ (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (pow (sqrt (exp (* a x))) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1))) * [exit]simplify: Simplified to (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (* (exp (* x a)) (sqrt (exp (* x a)))) 1))) * [enter]simplify: Simplifying (cbrt (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (+ (* 1 1) (* (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (cbrt (+ (+ 1 (exp (* x a))) (sqrt (exp (* x a))))) * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (- (exp (* x a)) 1) (sqrt (exp (* x a)))) (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (cbrt (+ (* (- (exp (* x a)) 1) (sqrt (exp (* x a)))) (- (exp (* x a)) 1))) * [enter]simplify: Simplifying (cbrt (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ (pow (sqrt (exp (* a x))) 3) (pow 1 3)) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (* (exp (* x a)) (sqrt (exp (* x a))))))) * [exit]simplify: Simplified to (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (* (exp (* x a)) (sqrt (exp (* x a))))))) * [enter]simplify: Simplifying (cbrt (+ (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (- (* 1 1) (* (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (- (+ 1 (exp (* x a))) (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (cbrt (- (+ 1 (exp (* x a))) (sqrt (exp (* x a))))) * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) (* 1 1)) (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (- (exp (* x a)) 1) (- (sqrt (exp (* x a))) 1))) * [exit]simplify: Simplified to (cbrt (* (- (exp (* x a)) 1) (- (sqrt (exp (* x a))) 1))) * [enter]simplify: Simplifying (cbrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)))) (cbrt (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)))) (cbrt (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))))) * [enter]simplify: Simplifying (cbrt (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)))) * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (+ (* 1/48 (* (pow a 3) (pow x 3))) (+ (* 1/8 (* (pow a 2) (pow x 2))) (* 1/2 (* a x))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (* x (+ (* a 1/2) (* (* a a) (* 1/8 x)))) (* (* (* x a) (* a a)) (* (* x x) 1/48))) (+ (sqrt (exp (* x a))) 1))) (* (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a)))))) (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a)))))))) * * * * [misc]progress: [ 55 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 56 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (+ (* 1/48 (* (pow a 3) (pow x 3))) (+ (* 1/8 (* (pow a 2) (pow x 2))) (* 1/2 (* a x))))))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a)))))) (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a))))))) (cbrt (* (+ (sqrt (exp (* x a))) 1) (+ (+ (* (* 1/48 (* x x)) (* (* a a) (* x a))) (* (* (* x x) (* a a)) 1/8)) (* x (* a 1/2)))))) * * * * [misc]progress: [ 58 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 59 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (+ (* 1/48 (* (pow a 3) (pow x 3))) (+ (* 1/8 (* (pow a 2) (pow x 2))) (* 1/2 (* a x)))))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (* a (+ (* 1/2 x) (* (* x x) (* 1/8 a)))) (* (* (* x x) (* x a)) (* 1/48 (* a a)))) (+ (sqrt (exp (* x a))) 1))) (* (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a)))))) (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a)))))))) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (+ (* 1/36 (* (pow a 2) (* (pow x 2) (exp (* 1/3 (+ (log a) (log x))))))) (+ (* 1/6 (* a (* x (exp (* 1/3 (+ (log a) (log x))))))) (exp (* 1/3 (+ (log a) (log x))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* x a)) (+ (* 1/36 (* (* x a) (* x a))) (+ 1 (* (* 1/6 a) x)))) (* (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))) (cbrt (* (- (sqrt (exp (* x a))) 1) (+ (sqrt (exp (* x a))) 1))))) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (pow (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) 1/3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (pow (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) 1/3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (* (+ (sqrt (exp (* x a))) 1) (- (sqrt (exp (* x a))) 1)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # #) * [misc]regimes: searching between -5.0472790946720636e-08 and -0.9790506509807939 on (- (exp (* a x)) 1) * [misc]regimes: searching between 0.999999949527209 and 0.020949349019206077 on (exp (* a x)) * [misc]regimes: searching between -5.0472792249981126e-08 and -3.8656477061656904 on (* a x) * [misc]regimes: searching between -1.4902592686311278e+153 and -7.882281756614645e+160 on a * [misc]regimes: searching between -2.9774103679276507e+131 and -1.8005083663756995e+133 on a * [misc]regimes: searching between -1.261352205976848e+21 and -2.3439467090561833e+26 on a * [misc]regimes: searching between 6.612294496198274e+63 and 5.00312479828499e+59 on a * [misc]regimes: searching between -3.784300144087963e+164 and -1.2313341457367469e+168 on x * [misc]regimes: searching between -2.3239689965516685e+68 and -3.707251775906759e+71 on x * [misc]regimes: searching between -1.7100696907038309 and -77265.11087188261 on x * [misc]regimes: searching between 5.850904987866789e-75 and 1.3778246256217414e-81 on x * [misc]regimes: searching between 1.1752991438876138e-36 and 5.371691647342889e-41 on x * [misc]regimes: searching between 1.506386855076661e+17 and 1643600672353.247 on x * [misc]regimes: searching between 2.1953411203930764e+45 and 3.987670603027487e+41 on x * [misc]regimes: searching between 2.2756726886981838e+167 and 3.787665196979771e+149 on x * [misc]regimes: searching between 0.0 and +nan.0 on (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (pow (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) 1/3)) * [misc]regimes: searching between -5.047279086495648e-08 and -0.979050650980794 on (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)) * [misc]regimes: searching between 0.9999999747636042 and 0.144738899467994 on (sqrt (exp (* a x))) * [misc]regimes: searching between -5.0472790880455045e-08 and -0.9790506509807938 on (/ (* (+ (pow (sqrt (exp (* a x))) 3) (pow 1 3)) (- (pow (sqrt (exp (* a x))) 3) (pow 1 3))) (* (+ (sqrt (exp (* x a))) (+ 1 (exp (* x a)))) (- (+ 1 (exp (* x a))) (sqrt (exp (* x a)))))) * [misc]regimes: searching between -5.047279097622975e-08 and +nan.0 on (+ (* (* (* x a) (* x a)) 1/2) (* x a)) * [misc]regimes: searching between 0.006283176039913808 and 9.157449916709467e-09 on (+ (* (* (* x a) (* x a)) 1/2) (* x a)) * [misc]regimes: searching between -5.0472792249981126e-08 and -3.8656477061656904 on (* x a) * [misc]regimes: searching between -5.047279086495648e-08 and -0.9790506509807939 on (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) * [misc]regimes: searching between -0.0036956069328074404 and -0.9929675441561233 on (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (exp (* a x)) 1) -0.010039143544406211) #s(sp 1 (- (exp (* a x)) 1) +inf.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (- (exp (* a x)) 1) -0.010039143544406211) (* (* (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (cbrt (* (+ (sqrt (exp (* a x))) 1) (- (sqrt (exp (* a x))) 1)))) (if (<= (- (exp (* a x)) 1) +inf.0) (+ (* (* (* x a) (* x a)) 1/2) (* x a)) (+ (* (* (* x a) (* x a)) 1/2) (* x a)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * [exit]simplify: Simplified to (if (<= (- (exp (* x a)) 1) -0.010039143544406211) (* (* (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a)))))) (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a))))))) (cbrt (* (- (sqrt (exp (* x a))) 1) (+ 1 (sqrt (exp (* x a))))))) (if (<= (- (exp (* x a)) 1) +inf.0) (+ (* 1/2 (* (* x a) (* x a))) (* x a)) (+ (* 1/2 (* (* x a) (* x a))) (* x a))))