* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [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: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [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 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr 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 (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 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 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 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 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (+ (* 0 0) (* 0 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 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 (sqr (* x a))) (* 1 (* x a)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* 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 (* a x))) 1) into (- (exp (/ 1 (* 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 (* a x))) 1) into (- (exp (/ 1 (* 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 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr 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 (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 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 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr (* x a))) (+ (* 1 (* x a)) 1)) into (+ 1 (+ (* 1/2 (* (sqr a) (sqr x))) (* 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]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 (* a x))) into (exp (/ 1 (* 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 (* a x))) into (exp (/ 1 (* a x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (+ (* 1/6 (* (cube a) (cube x))) (+ (* a x) (* (* a x) (* (* a x) 1/2)))) * * * * [misc]progress: [ 2 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 3 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 4 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2)) * * * * [misc]progress: [ 5 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 6 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 7 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 25 ] 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: [ 9 / 25 ] 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: [ 10 / 25 ] simplifiying candidate # * [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: [ 11 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * * * * [misc]progress: [ 12 / 25 ] 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)) * * * * [misc]progress: [ 13 / 25 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (65 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: [ 14 / 25 ] 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: [ 15 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (* a x))) (sqr 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 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: [ 17 / 25 ] 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: [ 18 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 25 ] 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: [ 20 / 25 ] 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: [ 21 / 25 ] 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: [ 22 / 25 ] simplifiying candidate # * [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: [ 23 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cube (exp (* x a))) * [exit]simplify: Simplified to (cube (exp (* x a))) * * * * [misc]progress: [ 24 / 25 ] 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))) * * * * [misc]progress: [ 25 / 25 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2)) in x * [misc]taylor: Taking taylor expansion of (+ (* a x) 0) 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* a x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (sqr (* 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]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2)) in a * [misc]taylor: Taking taylor expansion of (+ (* a x) 0) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* a x)) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2)) in a * [misc]taylor: Taking taylor expansion of (+ (* a x) 0) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* a x)) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) 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 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 x) (* x 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 1/2)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x x) (* 0 0))) into (sqr x) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* (sqr x) 1/2))) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (sqr x))) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr 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 (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (+ (* 0 x) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (sqr x) 0) (* 0 1/2)))) 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (sqr x) 0) (+ (* 0 0) (* 0 1/2))))) 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 (* x a)) into (* a x) * [misc]approximate: Taking taylor expansion of (+ (+ (* (/ 1 a) (/ 1 x)) 0) (* (sqr (* (/ 1 a) (/ 1 x))) 1/2)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 a) (/ 1 x)) 0) (* (sqr (* (/ 1 a) (/ 1 x))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 x)) 0) 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 a) (/ 1 x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]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 a) (/ 1 x)) 0) (* (sqr (* (/ 1 a) (/ 1 x))) 1/2)) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 x)) 0) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 a) (/ 1 x))) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]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 a) (/ 1 x)) 0) (* (sqr (* (/ 1 a) (/ 1 x))) 1/2)) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 x)) 0) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 a) (/ 1 x))) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (sqr x)) * [misc]backup-simplify: Simplify (* (/ 1 (sqr x)) 1/2) into (/ 1/2 (sqr x)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqr x))) into (* 1/2 (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr 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 (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ (/ 1 x) 0) into (/ 1 x) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 x) 0) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (* 0 1/2))) 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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [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 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) 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 (/ 0 1)) (* 0 (/ 0 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 1) (* 0 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 x)) (/ 1 (/ 1 a)))) (* 1/2 (sqr (* (/ 1 (/ 1 x)) (/ 1 (/ 1 a)))))) into (+ (* 1/2 (* (sqr a) (sqr x))) (* a x)) * [misc]approximate: Taking taylor expansion of (+ (+ (* (/ 1 (- a)) (/ 1 (- x))) 0) (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (* (/ 1 (- a)) (/ 1 (- x))) 0) (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2)) in x * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- x))) 0) 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]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2) in x * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]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 (- a)) (/ 1 (- x))) 0) (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2)) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- x))) 0) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]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 (- a)) (/ 1 (- x))) 0) (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2)) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- x))) 0) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (sqr x)) * [misc]backup-simplify: Simplify (* (/ 1 (sqr x)) 1/2) into (/ 1/2 (sqr x)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqr x))) into (* 1/2 (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr 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 (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (+ (/ 1 x) 0) into (/ 1 x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 x) 0) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (* 0 1/2))) 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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) 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 (/ 0 1)) (* 0 (/ 0 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 1) (* 0 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 (- x))) (/ 1 (/ 1 (- a))))) (* 1/2 (sqr (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- a))))))) into (+ (* 1/2 (* (sqr a) (sqr x))) (* a x)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqr (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* 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]taylor: Taking taylor expansion of (sqr (* 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]taylor: Taking taylor expansion of (sqr (* 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) 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) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 x) (* x 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) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x x) (* 0 0))) into (sqr x) * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (sqr (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of (sqr (* (/ 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 (* (/ 1 x) (/ 1 x)) into (/ 1 (sqr x)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) 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 (sqr (* (/ 1 (/ 1 x)) (/ 1 (/ 1 a))))) into (* (sqr a) (sqr x)) * [misc]approximate: Taking taylor expansion of (sqr (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of (sqr (* (/ 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 (* (/ 1 x) (/ 1 x)) into (/ 1 (sqr x)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) 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 (sqr (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- a)))))) into (* (sqr a) (sqr x)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqr (* a x)) 1/2) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* a x)) 1/2) in x * [misc]taylor: Taking taylor expansion of (sqr (* 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]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqr (* a x)) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqr (* a x)) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) 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) (* 1 x)) into x * [misc]backup-simplify: Simplify (+ (* 0 x) (* x 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 1/2)) 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) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x x) (* 0 0))) into (sqr x) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* (sqr x) 1/2))) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr 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 (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [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 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sqr (* (/ 1 a) (/ 1 x))) 1/2) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 a) (/ 1 x))) 1/2) in x * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 a) (/ 1 x))) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 a) (/ 1 x))) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (sqr x)) * [misc]backup-simplify: Simplify (* (/ 1 (sqr x)) 1/2) into (/ 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqr 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 (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) 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 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (* 0 1/2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) 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 (sqr (* (/ 1 (/ 1 x)) (/ 1 (/ 1 a))))) into (* 1/2 (* (sqr a) (sqr x))) * [misc]approximate: Taking taylor expansion of (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2) in x * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqr (* (/ 1 (- a)) (/ 1 (- x)))) 1/2) in a * [misc]taylor: Taking taylor expansion of (sqr (* (/ 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]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (sqr x)) * [misc]backup-simplify: Simplify (* (/ 1 (sqr x)) 1/2) into (/ 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (sqr 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 (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) 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 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (* 0 1/2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))) 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) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) 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 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqr x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) 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 (sqr (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- a)))))) into (* 1/2 (* (sqr a) (sqr x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 42 ] 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: [ 2 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (* a x)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) 1/2) (* x a)) * * * * [misc]progress: [ 3 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (* a x)) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) 1/2) (* x a)) * * * * [misc]progress: [ 4 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* a x) 0) (* 0 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 5 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* a x) 0) (* (* (sqr a) (sqr x)) 1/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (+ (* 1/2 (* (* x a) (* x a))) (* x a)) * * * * [misc]progress: [ 6 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* a x) 0) (* (* (sqr a) (sqr x)) 1/2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (+ (* 1/2 (* (* x a) (* x a))) (* x a)) * * * * [misc]progress: [ 7 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* a x) 0) 0) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 8 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* a x) 0) (* 1/2 (* (sqr a) (sqr x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) 1/2) (* x a)) * * * * [misc]progress: [ 9 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* a x) 0) (* 1/2 (* (sqr a) (sqr x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) 1/2) (* x a)) * * * * [misc]progress: [ 10 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (+ (* a x) 0)) (exp (* (sqr (* a x)) 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (pow (exp (* x a)) (+ (* (* 1/2 x) a) 1)) * [exit]simplify: Simplified to (pow (exp (* x a)) (+ (* (* 1/2 x) a) 1)) * * * * [misc]progress: [ 11 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (log (+ (* (* x a) (* (* x a) 1/2)) (* x a))) * [exit]simplify: Simplified to (log (+ (* (* x a) (* (* x a) 1/2)) (* x a))) * * * * [misc]progress: [ 13 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (pow (exp (* x a)) (+ (* (* 1/2 x) a) 1)) * [exit]simplify: Simplified to (pow (exp (* x a)) (+ (* (* 1/2 x) a) 1)) * * * * [misc]progress: [ 14 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* x a) (* (* x a) 1/2)) (* x a))) * [exit]simplify: Simplified to (cbrt (+ (* (* x a) (* (* x a) 1/2)) (* x a))) * * * * [misc]progress: [ 15 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (cube (+ (* (* (* x a) 1/2) (* x a)) (* x a))) * [exit]simplify: Simplified to (cube (+ (* (* (* x a) 1/2) (* x a)) (* x a))) * * * * [misc]progress: [ 16 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* x a) (* (* x a) 1/2)) (* x a))) * [exit]simplify: Simplified to (sqrt (+ (* (* x a) (* (* x a) 1/2)) (* x a))) * * * * [misc]progress: [ 17 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (+ (* a x) 0) 3) (pow (* (sqr (* a x)) 1/2) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (+ (cube (* x a)) (cube (* 1/2 (* (* x a) (* x a))))) * [exit]simplify: Simplified to (+ (cube (* x a)) (cube (* 1/2 (* (* x a) (* x a))))) * [enter]simplify: Simplifying (+ (sqr (+ (* a x) 0)) (- (sqr (* (sqr (* a x)) 1/2)) (* (+ (* a x) 0) (* (sqr (* a x)) 1/2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (- (sqr (* (* (* x a) (* x a)) 1/2)) (- (* (* 1/2 (* x a)) (* (* x a) (* x a))) (* (* x a) (* x a)))) * [exit]simplify: Simplified to (- (sqr (* (* (* x a) (* x a)) 1/2)) (- (* (* 1/2 (* x a)) (* (* x a) (* x a))) (* (* x a) (* x a)))) * * * * [misc]progress: [ 18 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (+ (* a x) 0)) (sqr (* (sqr (* a x)) 1/2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (- (* (* x a) (* x a)) (sqr (* (* (* x a) (* x a)) 1/2))) * [exit]simplify: Simplified to (- (* (* x a) (* x a)) (sqr (* (* (* x a) (* x a)) 1/2))) * [enter]simplify: Simplifying (- (+ (* a x) 0) (* (sqr (* a x)) 1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (- (* x a) (* (* x a) (* (* x a) 1/2))) * [exit]simplify: Simplified to (- (* x a) (* (* x a) (* (* x a) 1/2))) * * * * [misc]progress: [ 20 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 0 (* (sqr (* a x)) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (* x a) (* (* x a) 1/2)) * [exit]simplify: Simplified to (* (* x a) (* (* x a) 1/2)) * * * * [misc]progress: [ 21 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (* (* x a) (* x a))) * [exit]simplify: Simplified to (log (* (* x a) (* x a))) * * * * [misc]progress: [ 25 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (* (* x a) (* x a))) * [exit]simplify: Simplified to (exp (* (* x a) (* x a))) * * * * [misc]progress: [ 26 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (* x a) (* x a))) * [exit]simplify: Simplified to (cbrt (* (* x a) (* x a))) * * * * [misc]progress: [ 27 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cube (* x a)) (cube (* x a))) * [exit]simplify: Simplified to (* (cube (* x a)) (cube (* x a))) * * * * [misc]progress: [ 28 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (fabs (* x a)) * [exit]simplify: Simplified to (fabs (* x a)) * * * * [misc]progress: [ 29 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* a a) * [exit]simplify: Simplified to (* a a) * [enter]simplify: Simplifying (sqr x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* x x) * [exit]simplify: Simplified to (* x x) * * * * [misc]progress: [ 30 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr (* a x)) 1/2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (log (* (* (* x a) (* x a)) 1/2)) * [exit]simplify: Simplified to (log (* (* (* x a) (* x a)) 1/2)) * * * * [misc]progress: [ 34 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr (* a x)) 1/2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (pow (exp 1/2) (* (* x a) (* x a))) * [exit]simplify: Simplified to (pow (exp 1/2) (* (* x a) (* x a))) * * * * [misc]progress: [ 35 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr (* a x)) 1/2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (* (* x a) (* (* x a) 1/2))) * [exit]simplify: Simplified to (cbrt (* (* x a) (* (* x a) 1/2))) * * * * [misc]progress: [ 36 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr (* a x)) 1/2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (cube (* (* (* x a) (* x a)) 1/2)) * [exit]simplify: Simplified to (cube (* (* (* x a) (* x a)) 1/2)) * * * * [misc]progress: [ 37 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr (* a x)) 1/2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (sqrt (* (* x a) (* (* x a) 1/2))) * [exit]simplify: Simplified to (sqrt (* (* x a) (* (* x a) 1/2))) * * * * [misc]progress: [ 38 / 42 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) 1/2) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* x (* x 1/2)) * [exit]simplify: Simplified to (* x (* x 1/2)) * * * * [misc]progress: [ 40 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (* 1/2 x) a) * [exit]simplify: Simplified to (* (* 1/2 x) a) * * * * [misc]progress: [ 41 / 42 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr (* a x)) 1/2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (* (* x a) (* x a)) 1/2) * [exit]simplify: Simplified to (* (* (* x a) (* x a)) 1/2) * * * * [misc]progress: [ 42 / 42 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [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 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr 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 (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 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 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 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 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (+ (* 0 0) (* 0 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 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 (sqr (* x a))) (* 1 (* x a)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* 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 (* a x))) 1) into (- (exp (/ 1 (* 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 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cbrt (cube (- (exp (* a x)) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* a x)) 1))) in x * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* a x)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* a x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* a x)) 1))) in x * [misc]taylor: Taking taylor expansion of (cube (- (exp (* a x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (exp (* a x)) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* a x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* a x)) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* a x)) 1)) in x * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (log a) (log x))))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (log a) (log x)))) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* a x)) 1))) in a * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* a x)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* a x)) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* a x)) 1))) in a * [misc]taylor: Taking taylor expansion of (cube (- (exp (* a x)) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* a x)) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* a x)) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* a x)) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* a x)) 1)) in a * [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]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]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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (log a) (log x))))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (log a) (log x)))) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* a x)) 1))) in a * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* a x)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* a x)) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* a x)) 1))) in a * [misc]taylor: Taking taylor expansion of (cube (- (exp (* a x)) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* a x)) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* a x)) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* a x)) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* a x)) 1)) in a * [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]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]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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (log (exp (* 3 (+ (log a) (log x))))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* 3 (+ (log a) (log x)))) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [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 (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log a) (log x))) into (exp (+ (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 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (sqr x))) 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 (+ (* 3 (* 1/2 x)) (* 0 (+ (log a) (log x)))) into (* 3/2 x) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow (* 3/2 x) 1) 1)))) into (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x))) 1)) (pow (exp (* 3 (+ (log a) (log x)))) 1)))) 1) into (* 3/2 x) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 3/2 x)) (* 0 (* 3 (+ (log a) (log x))))) into (* 1/2 x) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (* (/ (pow (* 1/2 x) 1) 1)))) into (* 1/2 (* (exp (+ (log a) (log x))) x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (+ (log a) (log x))) 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 (* (exp (+ (log a) (log x))) x) in x * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [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 (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 (* (exp (+ (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (sqr x))) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (pow x 3))) 1)) (pow x 1)))) 2) into (* 1/24 (sqr x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/24 (sqr x))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x))))) into (* 1/8 (sqr x)) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow (* 3/2 x) 2) 2)) (* (/ (pow (* 1/8 (sqr x)) 1) 1)))) into (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (sqr x))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x))) 2)) (pow (exp (* 3 (+ (log a) (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (sqr x)))) 1)) (pow (exp (* 3 (+ (log a) (log x)))) 1)))) 2) into (* 1/8 (sqr x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/8 (sqr x))) (+ (* 0 (* 3/2 x)) (* 0 (* 3 (+ (log a) (log x)))))) into (* 1/24 (sqr x)) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (* (/ (pow (* 1/2 x) 2) 2)) (* (/ (pow (* 1/24 (sqr x)) 1) 1)))) into (* 1/6 (* (exp (+ (log a) (log x))) (sqr x))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (exp (+ (log a) (log x))) (sqr 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 (* (exp (+ (log a) (log x))) (sqr x)) in x * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [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 (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) 0) 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 (* (exp (+ (log a) (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (+ (log a) (log x))) 1) (* 0 0)) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (+ (* 1/2 (exp (+ (log a) (log x)))) (* 0 0)) into (* 1/2 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (+ (log a) (log x)))) into (* 1/2 (exp (+ (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 (* (exp (+ (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 (sqr x))) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 (* 1/2 (sqr x))) 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 (+ (* 3 0) (+ (* 0 (* 1/24 (sqr x))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow (* 3/2 x) 3) 6)) (* (/ (pow (* 3/2 x) 1) 1) (/ (pow (* 1/8 (sqr x)) 1) 1)) (* (/ (pow 0 1) 1)))) into (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x))) 3)) (pow (exp (* 3 (+ (log a) (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x))) 1) (pow (* 2 (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (sqr x)))) 1)) (pow (exp (* 3 (+ (log a) (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3)))) 1)) (pow (exp (* 3 (+ (log a) (log x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/8 (sqr x))) (+ (* 0 (* 3/2 x)) (* 0 (* 3 (+ (log a) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (* (/ (pow (* 1/2 x) 3) 6)) (* (/ (pow (* 1/2 x) 1) 1) (/ (pow (* 1/24 (sqr x)) 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/24 (* (exp (+ (log a) (log x))) (pow x 3))) * [misc]taylor: Taking taylor expansion of (* 1/24 (* (exp (+ (log a) (log x))) (pow x 3))) 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 (* (exp (+ (log a) (log x))) (pow x 3)) in x * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [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 (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 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 (* (exp (+ (log a) (log x))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (+ (log a) (log x))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (* (exp (+ (log a) (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (+ (log a) (log x))) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (exp (+ (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 (* (exp (+ (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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow x 5)) 0) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* 1/2 (sqr x))) 4)) (pow x 4))) (* 12 (/ (* (pow (* 1 (* 1/2 (sqr x))) 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 (sqr x))) 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 (+ (* 3 (* -1/2880 (pow x 4))) (+ (* 0 0) (+ (* 0 (* 1/24 (sqr x))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x))))))) into (- (* 1/960 (pow x 4))) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow (* 3/2 x) 4) 24)) (* (/ (pow (* 3/2 x) 2) 2) (/ (pow (* 1/8 (sqr x)) 1) 1)) (* (/ (pow (* 3/2 x) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/8 (sqr x)) 2) 2)) (* (/ (pow (- (* 1/960 (pow x 4))) 1) 1)))) into (* 43/120 (* (exp (* 3 (+ (log a) (log x)))) (pow x 4))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x))) 4)) (pow (exp (* 3 (+ (log a) (log x)))) 4))) (* 12 (/ (* (pow (* 1 (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x))) 2) (pow (* 2 (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (sqr x)))) 1)) (pow (exp (* 3 (+ (log a) (log x)))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (sqr x)))) 2)) (pow (exp (* 3 (+ (log a) (log x)))) 2))) (* -4 (/ (* (pow (* 1 (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x))) 1) 1 (pow (* 6 (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3)))) 1)) (pow (exp (* 3 (+ (log a) (log x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 43/120 (* (exp (* 3 (+ (log a) (log x)))) (pow x 4)))) 1)) (pow (exp (* 3 (+ (log a) (log x)))) 1)))) 24) into (* -1/960 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/960 (pow x 4))) (+ (* 0 0) (+ (* 0 (* 1/8 (sqr x))) (+ (* 0 (* 3/2 x)) (* 0 (* 3 (+ (log a) (log x)))))))) into (- (* 1/2880 (pow x 4))) * [misc]backup-simplify: Simplify (* (exp (+ (log a) (log x))) (+ (* (/ (pow (* 1/2 x) 4) 24)) (* (/ (pow (* 1/2 x) 2) 2) (/ (pow (* 1/24 (sqr x)) 1) 1)) (* (/ (pow (* 1/2 x) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/24 (sqr x)) 2) 2)) (* (/ (pow (- (* 1/2880 (pow x 4))) 1) 1)))) into (* 1/120 (* (exp (+ (log a) (log x))) (pow x 4))) * [misc]taylor: Taking taylor expansion of (* 1/120 (* (exp (+ (log a) (log x))) (pow x 4))) 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 (* (exp (+ (log a) (log x))) (pow x 4)) in x * [misc]taylor: Taking taylor expansion of (exp (+ (log a) (log x))) in x * [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 (exp (+ (log a) (log x))) into (exp (+ (log a) (log x))) * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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 (* (exp (+ (log a) (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (+ (log a) (log x))) 1) (+ (* 0 0) (* 0 0))) into (exp (+ (log a) (log x))) * [misc]backup-simplify: Simplify (+ (* 1/6 (exp (+ (log a) (log x)))) (+ (* 0 0) (* 0 0))) into (* 1/6 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (* 1/6 (exp (+ (log a) (log x)))) into (* 1/6 (exp (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (exp (+ (log a) (log x)))) (sqr (* x a))) (+ (* (* 1/2 (exp (+ (log a) (log x)))) (* x a)) (exp (+ (log a) (log x))))) into (+ (* 1/6 (* (exp (+ (log a) (log x))) (* (sqr a) (sqr x)))) (+ (exp (+ (log a) (log x))) (* 1/2 (* (exp (+ (log a) (log x))) (* a x))))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))) in x * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 a) (/ 1 x))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 a) (/ 1 x))) 1)) in x * [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]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 (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 a) (/ 1 x))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [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]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 a) (/ 1 x))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [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]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (exp (/ 1 (* a x))) 1) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (exp (/ 1 (* a x))) 1) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (/ 1 (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in x * [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 (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (/ 1 (* a x))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (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 (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in x * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in x * [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]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 (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [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]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Rewrote expression to (pow (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cube (- (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 (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [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]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]taylor: Taking taylor expansion of (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) in x * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (pow (- (exp (/ 1 (* a x))) 1) 3)) in x * [misc]taylor: Taking taylor expansion of (pow (- (exp (/ 1 (* a x))) 1) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (/ 1 (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in x * [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 (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (log (pow (- (exp (/ 1 (* a x))) 1) 3)) into (log (pow (- (exp (/ 1 (* a x))) 1) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) into (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (/ 1 (* a x))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (- (exp (/ 1 (* a x))) 1) 3)))) (+ (* (/ (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 (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) into (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cube (- (exp (* a x)) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (- (exp (* a x)) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (exp (* a x)) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* a x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* a x)) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* a x)) 1)) in x * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (cube (- (exp (* a x)) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* a x)) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* a x)) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* a x)) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* a x)) 1)) in a * [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]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]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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (cube (- (exp (* a x)) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* a x)) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* a x)) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* a x)) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* a x)) 1)) in a * [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]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]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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log 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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 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 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (sqr x))) 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 (+ (* 3 (* 1/2 x)) (* 0 (+ (log a) (log x)))) into (* 3/2 x) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow (* 3/2 x) 1) 1)))) into (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) * [misc]taylor: Taking taylor expansion of (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) x)) in x * [misc]taylor: Taking taylor expansion of 3/2 in x * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (+ (log a) (log x)))) x) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log 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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) 0) into 0 * [misc]backup-simplify: Simplify (* 3/2 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 (+ (* 3 0) (* 0 (+ (log a) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (sqr x))) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/6 (pow x 3))) 1)) (pow x 1)))) 2) into (* 1/24 (sqr x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log x)) into (+ (log a) (log x)) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/24 (sqr x))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x))))) into (* 1/8 (sqr x)) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow (* 3/2 x) 2) 2)) (* (/ (pow (* 1/8 (sqr x)) 1) 1)))) into (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (sqr x))) * [misc]taylor: Taking taylor expansion of (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (sqr x))) in x * [misc]taylor: Taking taylor expansion of 5/4 in x * [misc]backup-simplify: Simplify 5/4 into 5/4 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (+ (log a) (log x)))) (sqr x)) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log 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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) 0) into 0 * [misc]backup-simplify: Simplify (* 5/4 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 (+ (* 3 0) (* 0 (+ (log a) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (+ (log a) (log x)))) 1) (* 0 0)) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (+ (* 3/2 (exp (* 3 (+ (log a) (log x))))) (* 0 0)) into (* 3/2 (exp (* 3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (* 3/2 (exp (* 3 (+ (log a) (log x))))) into (* 3/2 (exp (* 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 (+ (* 3 0) (+ (* 0 0) (* 0 (+ (log a) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 (sqr x))) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 (* 1/2 (sqr x))) 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 (+ (* 3 0) (+ (* 0 (* 1/24 (sqr x))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow (* 3/2 x) 3) 6)) (* (/ (pow (* 3/2 x) 1) 1) (/ (pow (* 1/8 (sqr x)) 1) 1)) (* (/ (pow 0 1) 1)))) into (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3))) * [misc]taylor: Taking taylor expansion of (* 3/4 (* (exp (* 3 (+ (log a) (log x)))) (pow x 3))) in x * [misc]taylor: Taking taylor expansion of 3/4 in x * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (+ (log a) (log x)))) (pow x 3)) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log 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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 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 (+ (* 3 0) (* 0 (+ (log a) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (+ (log a) (log x)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 5/4 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (+ (* 3 0) (+ (* 0 0) (* 0 (+ (log a) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (+ (log a) (log x)))) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 3/2 0) (+ (* 0 (exp (* 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log a) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow x 5)) 0) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* 1/2 (sqr x))) 4)) (pow x 4))) (* 12 (/ (* (pow (* 1 (* 1/2 (sqr x))) 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 (sqr x))) 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 (+ (* 3 (* -1/2880 (pow x 4))) (+ (* 0 0) (+ (* 0 (* 1/24 (sqr x))) (+ (* 0 (* 1/2 x)) (* 0 (+ (log a) (log x))))))) into (- (* 1/960 (pow x 4))) * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow (* 3/2 x) 4) 24)) (* (/ (pow (* 3/2 x) 2) 2) (/ (pow (* 1/8 (sqr x)) 1) 1)) (* (/ (pow (* 3/2 x) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/8 (sqr x)) 2) 2)) (* (/ (pow (- (* 1/960 (pow x 4))) 1) 1)))) into (* 43/120 (* (exp (* 3 (+ (log a) (log x)))) (pow x 4))) * [misc]taylor: Taking taylor expansion of (* 43/120 (* (exp (* 3 (+ (log a) (log x)))) (pow x 4))) in x * [misc]taylor: Taking taylor expansion of 43/120 in x * [misc]backup-simplify: Simplify 43/120 into 43/120 * [misc]taylor: Taking taylor expansion of (* (exp (* 3 (+ (log a) (log x)))) (pow x 4)) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (+ (log a) (log x)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (+ (log a) (log x))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (+ (log 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 (* 3 (+ (log a) (log x))) into (* 3 (+ (log a) (log x))) * [misc]backup-simplify: Simplify (exp (* 3 (+ (log a) (log x)))) into (exp (* 3 (+ (log a) (log x)))) * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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 (+ (* 3 0) (+ (* 0 0) (* 0 (+ (log a) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (+ (log a) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (+ (log a) (log x)))) 1) (+ (* 0 0) (* 0 0))) into (exp (* 3 (+ (log a) (log x)))) * [misc]backup-simplify: Simplify (+ (* 5/4 (exp (* 3 (+ (log a) (log x))))) (+ (* 0 0) (* 0 0))) into (* 5/4 (exp (* 3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (* 5/4 (exp (* 3 (+ (log a) (log x))))) into (* 5/4 (exp (* 3 (+ (log a) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* 5/4 (exp (* 3 (+ (log a) (log x))))) (sqr (* x a))) (+ (* (* 3/2 (exp (* 3 (+ (log a) (log x))))) (* x a)) (exp (* 3 (+ (log a) (log x)))))) into (+ (exp (* 3 (+ (log a) (log x)))) (+ (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (* (sqr a) (sqr x)))) (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) (* a x))))) * [misc]approximate: Taking taylor expansion of (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 a) (/ 1 x))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 a) (/ 1 x))) 1)) in x * [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]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 (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 a) (/ 1 x))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [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]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 a) (/ 1 x))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [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]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (pow (- (exp (/ 1 (* a x))) 1) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (/ 1 (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in x * [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 (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (pow (- (exp (/ 1 (* a x))) 1) 3) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (/ 1 (* a x))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (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 (- (exp (/ 1 (* a x))) 1) 3) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]approximate: Taking taylor expansion of (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in x * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in x * [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]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 (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [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]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (cube (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [misc]taylor: Rewrote expression to (pow (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [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]backup-simplify: Simplify (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]taylor: Taking taylor expansion of (pow (- (exp (/ 1 (* a x))) 1) 3) in x * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (- (exp (/ 1 (* a x))) 1))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (- (exp (/ 1 (* a x))) 1)) in x * [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 (log (- (exp (/ 1 (* a x))) 1)) into (log (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (* 3 (log (- (exp (/ 1 (* a x))) 1))) into (* 3 (log (- (exp (/ 1 (* a x))) 1))) * [misc]backup-simplify: Simplify (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (pow (- (exp (/ 1 (* a x))) 1) 3) into (pow (- (exp (/ 1 (* a x))) 1) 3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (exp (/ 1 (* a x))) 1)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (exp (/ 1 (* a x))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (exp (/ 1 (* a x))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (- (exp (/ 1 (* a x))) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (- (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 (- (exp (/ 1 (* a x))) 1) 3) into (pow (- (exp (/ 1 (* a x))) 1) 3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 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 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr 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 (sqr x) in x * [misc]taylor: Taking 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 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 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 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr (* x a))) (+ (* 1 (* x a)) 1)) into (+ 1 (+ (* 1/2 (* (sqr a) (sqr x))) (* 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]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 (* a x))) into (exp (/ 1 (* 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 (* a x))) into (exp (/ 1 (* a x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/2 (* (* a x) (* a x))) (* (* (* 1/6 a) (sqr a)) (cube x))) (* a x)) * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (exp (/ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (exp (/ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (exp (+ (log a) (log x))) (* (sqr a) (sqr x)))) (+ (exp (+ (log a) (log x))) (* 1/2 (* (exp (+ (log a) (log x))) (* a x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (+ (* x a) (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x)))) * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (- (exp (/ 1 (* a x))) 1) 3) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp (* 3 (+ (log a) (log x)))) (+ (* 5/4 (* (exp (* 3 (+ (log a) (log x)))) (* (sqr a) (sqr x)))) (* 3/2 (* (exp (* 3 (+ (log a) (log x)))) (* a x)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (cbrt (* (cube (* x a)) (+ (+ (* (* 3/2 a) x) 1) (* 5/4 (* (* x a) (* x a)))))) * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (exp (/ 1 (* a x))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (- (exp (/ 1 (* a x))) 1) 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (+ 1 (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (+ (* (* a x) (* 1/2 (* a x))) (+ (* a x) 0)) * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (exp (/ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (exp (/ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 58 ] 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: [ 15 / 58 ] 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: [ 16 / 58 ] simplifiying candidate # * [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: [ 17 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * * * * [misc]progress: [ 18 / 58 ] 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)) * * * * [misc]progress: [ 19 / 58 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (65 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: [ 20 / 58 ] 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 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (* a x))) (sqr 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 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: [ 23 / 58 ] 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: [ 24 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cube (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cube (- (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 (29 enodes) * [exit]simplify: Simplified to (/ (exp (exp (* x a))) E) * [exit]simplify: Simplified to (/ (exp (exp (* x a))) E) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cbrt (cube (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (+ (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [enter]simplify: Simplifying (cbrt (cube (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * [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)) * [enter]simplify: Simplifying (cbrt (* (- (exp (* a x)) 1) (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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))) * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (cube (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (pow (exp (* a x)) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (cbrt (cube (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (356 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: [ 33 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [enter]simplify: Simplifying (cbrt (cube (+ (exp (* a x)) 1))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cube (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (cube (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cube (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (cube (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (log (cube (- (exp (* x a)) 1))) * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (- (exp (* a x)) 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 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (exp (cube (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (exp (cube (- (exp (* x a)) 1))) * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cube (cube (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (cube (cube (- (exp (* x a)) 1))) * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (cube (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cube (+ (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (cube (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cube (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cube (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (pow (exp (* a x)) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cube (- (cube (exp (* x a))) 1)) * [exit]simplify: Simplified to (cube (- (cube (exp (* x a))) 1)) * [enter]simplify: Simplifying (cube (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (cube (+ (+ (exp (* x a)) (pow (exp x) (+ a a))) 1)) * [exit]simplify: Simplified to (cube (+ (+ (exp (* x a)) (pow (exp x) (+ a a))) 1)) * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr (exp (* a x))) (sqr 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (cube (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (cube (- (pow (exp x) (+ a a)) 1)) * [enter]simplify: Simplifying (cube (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cube (+ (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (+ (exp (* x a)) 1)) * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* a x)) 1) (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 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)) * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (cube (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (sqrt (cube (- (exp (* x a)) 1))) * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 58 ] 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: [ 53 / 58 ] 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: [ 54 / 58 ] 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: [ 55 / 58 ] simplifiying candidate # * [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: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (cube (exp (* x a))) * [exit]simplify: Simplified to (cube (exp (* x a))) * * * * [misc]progress: [ 57 / 58 ] 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))) * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* a x) -4.709279699649899e-06) #s(sp 1 (* a x) +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 (* a x) -4.709279699649899e-06))) * [misc]splitpoints: intervals are: ((#s(sp 0 (* a x) -4.709279699649899e-06) . #s(sp 1 (* a x) +inf.0))) * [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)) * [enter]simplify: Simplifying (cube (cube (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cube (cube (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (cube (cube (- (exp (* x a)) 1))) * [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) * [enter]simplify: Simplifying (* x a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * [enter]simplify: Simplifying (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (+ (* x (* 1/6 a)) 1/2) (* (* a x) (* a x))) * [exit]simplify: Simplified to (* (+ (* x (* 1/6 a)) 1/2) (* (* a x) (* a x))) * [enter]simplify: Simplifying (log (cube (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (cube (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (log (cube (- (exp (* x a)) 1))) * [enter]simplify: Simplifying (cube (+ (+ (* a x) 0) (* (sqr (* a x)) 1/2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (cube (+ (* (* (* x a) 1/2) (* x a)) (* x a))) * [exit]simplify: Simplified to (cube (+ (* (* (* x a) 1/2) (* x a)) (* x a))) * [enter]simplify: Simplifying (* x a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * [enter]simplify: Simplifying (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (+ (* x (* 1/6 a)) 1/2) (* (* a x) (* a x))) * [exit]simplify: Simplified to (* (+ (* x (* 1/6 a)) 1/2) (* (* a x) (* a x)))