* [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 / 1 ] 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 x 3) (pow a 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* x a))) * [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 (* x a))) * [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 (* x a))) * [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 (* x a))) * [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 (* x a))) -1) into (- (exp (/ 1 (* x a))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* x a))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* x a))) into (exp (/ 1 (* x a))) * [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 (* x a))) -1) into (- (exp (/ 1 (* x a))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* x a))) 1) into (- (exp (/ 1 (* x a))) 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 (* x a))) 1) into (- (exp (/ 1 (* x a))) 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 (* x a))) * [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 (* x a))) * [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 (* x a))) * [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 (* x a))) -1) into (- (exp (/ 1 (* x a))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* x a))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* x a))) into (exp (/ 1 (* x a))) * [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 (* x a))) -1) into (- (exp (/ 1 (* x a))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* x a))) 1) into (- (exp (/ 1 (* x a))) 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 (* x a))) 1) into (- (exp (/ 1 (* x a))) 1) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow x 3) (pow a 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* x a))) * * [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 (79 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (+ (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) (* a x)) * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* x a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* a x))) 1) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* x a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* a x))) 1) * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 14 ] 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: [ 6 / 14 ] 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: [ 7 / 14 ] 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: [ 8 / 14 ] 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: [ 9 / 14 ] 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: [ 10 / 14 ] 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: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] 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 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (46 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 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) (+ 1 (pow (exp a) (+ x x)))) * [exit]simplify: Simplified to (+ (exp (* x a)) (+ 1 (pow (exp a) (+ x x)))) * * * * [misc]progress: [ 13 / 14 ] 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 (34 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * * * * [misc]progress: [ 14 / 14 ] 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 (+ 1 (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [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: 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 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (sqr x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) 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]taylor: Taking taylor expansion of (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))) in x * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube a) in x * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr a)) 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 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) 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]taylor: Taking taylor expansion of (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))) in x * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube a) in x * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr a)) 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 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/6) into 0 * [misc]backup-simplify: Simplify (* (cube a) 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 1/2 (sqr a)) into (* 1/2 (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (sqr a))) into (* 1/2 (sqr a)) * [misc]backup-simplify: Simplify (* 0 (* 1/2 (sqr a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ (* (cube a) 1/6) (* 0 0)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (sqr a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (cube a)) 0) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/6 (cube a))) (* 0 (* 1/2 (sqr a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube a) 0) (+ (* 0 1/6) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 (* 1/6 (cube a))) (* 1 (* 1/2 (sqr a))))) into (* 1/2 (sqr a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr 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 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 x)) (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 x)) (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in a * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) 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 (* (sqr (/ 1 x)) (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 a))) 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 (/ 1 a)) 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 (* (sqr (/ 1 x)) (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 a))) 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 (/ 1 a)) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/6) into 1/6 * [misc]backup-simplify: Simplify (* (cube (/ 1 a)) 1/6) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* 1/6 (cube (/ 1 a))) 0) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify (* 1 (* 1/6 (cube (/ 1 a)))) into (* 1/6 (cube (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in a * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqr a))) into (/ 1/2 (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqr a))) into (* 1/2 (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ 1 (sqr a)))) (* 0 (* 1/6 (cube (/ 1 a))))) into (* 1/2 (/ 1 (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (sqr a)))) (* 0 (* 1/6 (cube (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (* 1/6 (cube (/ 1 a))) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 a))) into (* 1/6 (cube (/ 1 a))) * [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 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr a)))) (* 0 (* 1/6 (cube (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* 1/6 0) (* 0 (cube (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (+ 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr a)))) (* 0 (* 1/6 (cube (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr a)))) (* 0 (* 1/6 (cube (/ 1 a))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ 1 a))) (pow (* 1 (/ 1 (/ 1 x))) 3)) (* 1/2 (sqr (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x)))))) into (+ (* 1/2 (* (sqr x) (sqr a))) (* 1/6 (* (cube (/ 1 a)) (pow x 3)))) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 (- x))) (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a)))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- x))) (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) 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 (* (sqr (/ 1 (- x))) (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 (- a)))) 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 (/ 1 (- a))) 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 (* (sqr (/ 1 (- x))) (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 (- a)))) 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 (/ 1 (- a))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/6) into -1/6 * [misc]backup-simplify: Simplify (* (cube (/ -1 a)) -1/6) into (* -1/6 (cube (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* -1/6 (cube (/ -1 a))) 0) into (- (* 1/6 (cube (/ -1 a)))) * [misc]backup-simplify: Simplify (* 1 (- (* 1/6 (cube (/ -1 a))))) into (* -1/6 (cube (/ -1 a))) * [misc]taylor: Taking taylor expansion of (* -1/6 (cube (/ -1 a))) in a * [misc]taylor: Taking taylor expansion of -1/6 in a * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]taylor: Taking taylor expansion of (cube (/ -1 a)) in a * [misc]backup-simplify: Simplify (cube (/ -1 a)) into (cube (/ -1 a)) * [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 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (* 0 -1/6)) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqr a))) into (/ 1/2 (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqr a))) into (* 1/2 (/ 1 (sqr a))) * [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)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ 1 (sqr a)))) (* 0 (- (* 1/6 (cube (/ -1 a)))))) into (* 1/2 (/ 1 (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr 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 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 (- 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 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (+ (* 0 0) (* 0 -1/6))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (sqr a)))) (* 0 (- (* 1/6 (cube (/ -1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (* -1/6 (cube (/ -1 a))) into (* -1/6 (cube (/ -1 a))) * [misc]backup-simplify: Simplify (* -1/6 (cube (/ -1 a))) into (* -1/6 (cube (/ -1 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 (- 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 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/6)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr a)))) (* 0 (- (* 1/6 (cube (/ -1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* -1/6 0) (* 0 (cube (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 1/6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/6))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr a)))) (* 0 (- (* 1/6 (cube (/ -1 a))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* -1/6 0) (+ (* 0 0) (* 0 (cube (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/6)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr a)))) (* 0 (- (* 1/6 (cube (/ -1 a)))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/6 (cube (/ -1 a))) (pow (* 1 (/ 1 (/ 1 (- x)))) 3)) (* 1/2 (sqr (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x))))))) into (+ (* 1/2 (* (sqr x) (sqr a))) (* 1/6 (* (cube (/ -1 a)) (pow x 3)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (* (cube a) (* x 1/6)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube a) in x * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* x 1/6) into (* 1/6 x) * [misc]backup-simplify: Simplify (* (cube a) (* 1/6 x)) into (* 1/6 (* (cube a) x)) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube a) 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 (* (cube a) x) in x * [misc]taylor: Taking taylor expansion of (cube a) in x * [misc]backup-simplify: Simplify (cube a) into (cube 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 (* (cube a) 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube a) 0) (* 0 (* 1/6 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 (+ (* (cube a) 1) (* 0 0)) into (cube a) * [misc]backup-simplify: Simplify (+ (* 1/6 (cube a)) (* 0 0)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (* 1/6 (cube a)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube a) 0) (+ (* 0 0) (* 0 (* 1/6 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 (+ (* (cube a) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 (cube a)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/6 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 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/6 (cube a)) (* x 1)) into (* 1/6 (* (cube a) x)) * [misc]approximate: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in a * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in a * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* (/ 1 x) 1/6) into (/ 1/6 x) * [misc]backup-simplify: Simplify (* (cube (/ 1 a)) (/ 1/6 x)) into (* 1/6 (/ (cube (/ 1 a)) x)) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (cube (/ 1 a)) 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 (/ (cube (/ 1 a)) x) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 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 (/ (cube (/ 1 a)) 1) into (cube (/ 1 a)) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 a))) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 a))) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (* 0 (/ 1/6 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cube (/ 1 a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 a)))) 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 x) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ 1/6 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 1) (+ (* (cube (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (/ 1 a))))) 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 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/6 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 (- (/ 0 1) (+ (* (cube (/ 1 a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/6 (cube (/ 1 a))) (* (/ 1 (/ 1 x)) 1)) into (* 1/6 (* (cube (/ 1 a)) x)) * [misc]approximate: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* (/ -1 x) 1/6) into (/ -1/6 x) * [misc]backup-simplify: Simplify (* (cube (/ -1 a)) (/ -1/6 x)) into (* -1/6 (/ (cube (/ -1 a)) x)) * [misc]taylor: Taking taylor expansion of (* -1/6 (/ (cube (/ -1 a)) 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 (/ (cube (/ -1 a)) x) in x * [misc]taylor: Taking taylor expansion of (cube (/ -1 a)) in x * [misc]backup-simplify: Simplify (cube (/ -1 a)) into (cube (/ -1 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 (/ (cube (/ -1 a)) 1) into (cube (/ -1 a)) * [misc]backup-simplify: Simplify (* -1/6 (cube (/ -1 a))) into (* -1/6 (cube (/ -1 a))) * [misc]backup-simplify: Simplify (* -1/6 (cube (/ -1 a))) into (* -1/6 (cube (/ -1 a))) * [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 (+ (* (/ -1 x) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (* 0 (/ -1/6 x))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cube (/ -1 a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 0) (* 0 (cube (/ -1 a)))) 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 (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (+ (* 0 0) (* 0 (/ -1/6 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 1) (+ (* (cube (/ -1 a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 (cube (/ -1 a))))) 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 (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1/6 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 (- (/ 0 1) (+ (* (cube (/ -1 a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/6 (cube (/ -1 a))) (* (/ 1 (/ 1 (- x))) 1)) into (* 1/6 (* (cube (/ -1 a)) x)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))) in x * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube a) in x * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr a)) 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 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr 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]taylor: Taking taylor expansion of (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* (cube a) (* x 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* x 1/6) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr 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 (* x 1/6) into (* 1/6 x) * [misc]backup-simplify: Simplify (* (cube a) (* 1/6 x)) into (* 1/6 (* (cube a) x)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (* (cube a) x)) 0) into (* 1/6 (* (cube a) x)) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube a) 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 (* (cube a) x) in x * [misc]taylor: Taking taylor expansion of (cube a) in x * [misc]backup-simplify: Simplify (cube a) into (cube 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 (* (cube a) 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube a) 0) (* 0 (* 1/6 x))) 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 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 (+ (* (cube a) 1) (* 0 0)) into (cube a) * [misc]backup-simplify: Simplify (+ (* 1/6 (cube a)) (* 0 0)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (* 1/6 (cube a)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube a) 0) (+ (* 0 0) (* 0 (* 1/6 x)))) into 0 * [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 (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube a) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 (cube a)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/6 x))))) into 0 * [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 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 (+ (* (cube a) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (cube a)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr (* 1 a))) (* (* 1/6 (cube a)) (* x 1))) into (+ (* 1/6 (* (cube a) x)) (* 1/2 (sqr a))) * [misc]approximate: Taking taylor expansion of (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 a))) 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 (/ 1 a)) 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 (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in a * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) 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 (+ (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) (* 1/2 (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 a)) (* (/ 1 x) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in a * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ 1 x) 1/6) into (/ 1/6 x) * [misc]backup-simplify: Simplify (* (cube (/ 1 a)) (/ 1/6 x)) into (* 1/6 (/ (cube (/ 1 a)) x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (/ (cube (/ 1 a)) x)) 0) into (* 1/6 (/ (cube (/ 1 a)) x)) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (cube (/ 1 a)) 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 (/ (cube (/ 1 a)) x) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 a)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 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 (/ (cube (/ 1 a)) 1) into (cube (/ 1 a)) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 a))) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 a))) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (* 0 (/ 1/6 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 1) (+ (* (cube (/ 1 a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 a)))) 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 (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ 1/6 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))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (+ (* (* 1/6 (cube (/ 1 a))) (* (/ 1 (/ 1 x)) 1)) (* 1/2 (sqr (* 1 (/ 1 (/ 1 a)))))) into (+ (* 1/6 (* (cube (/ 1 a)) x)) (* 1/2 (sqr a))) * [misc]approximate: Taking taylor expansion of (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a))))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in x * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 (- a)))) 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 (/ 1 (- a))) 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 (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) 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 (+ (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) (* 1/2 (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- a))) (* (/ 1 (- x)) 1/6)) in a * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (/ -1 x) 1/6) into (/ -1/6 x) * [misc]backup-simplify: Simplify (* (cube (/ -1 a)) (/ -1/6 x)) into (* -1/6 (/ (cube (/ -1 a)) 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 (/ (cube (/ -1 a)) x)) 0) into (- (* 1/6 (/ (cube (/ -1 a)) x))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (/ (cube (/ -1 a)) x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (cube (/ -1 a)) 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 (/ (cube (/ -1 a)) x) in x * [misc]taylor: Taking taylor expansion of (cube (/ -1 a)) in x * [misc]backup-simplify: Simplify (cube (/ -1 a)) into (cube (/ -1 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 (/ (cube (/ -1 a)) 1) into (cube (/ -1 a)) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ -1 a))) into (* 1/6 (cube (/ -1 a))) * [misc]backup-simplify: Simplify (- (* 1/6 (cube (/ -1 a)))) into (- (* 1/6 (cube (/ -1 a)))) * [misc]backup-simplify: Simplify (- (* 1/6 (cube (/ -1 a)))) into (- (* 1/6 (cube (/ -1 a)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (* 0 (/ -1/6 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 1) (+ (* (cube (/ -1 a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 a)) 0) (+ (* 0 0) (* 0 (/ -1/6 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))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (+ (* (- (* 1/6 (cube (/ -1 a)))) (* (/ 1 (/ 1 (- x))) 1)) (* 1/2 (sqr (* 1 (/ 1 (/ 1 (- a))))))) into (+ (* 1/6 (* (cube (/ -1 a)) x)) (* 1/2 (sqr a))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (* x 1/6) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* x 1/6) in x * [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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 0 1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/6)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) 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 1/6))))))) 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 0) (* 0 1/6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 x) into (* 1/6 x) * [misc]approximate: Taking taylor expansion of (* (/ 1 x) 1/6) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 1 1/6) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/6)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (/ 1 (/ 1 x))) into (* 1/6 x) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/6) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* -1 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 1/6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/6 (/ 1 (/ 1 (- x)))) into (* 1/6 x) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 0 (* a x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* 1/2 (* (sqr x) (sqr a))) (* 1/6 (* (cube (/ 1 a)) (pow x 3)))) (* a x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ 1/6 a) a) (/ (cube x) a)) (+ (* 1/2 (sqr (* a x))) (* a x))) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* 1/2 (* (sqr x) (sqr a))) (* 1/6 (* (cube (/ -1 a)) (pow x 3)))) (* a x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/2 (sqr (* a x))) (* (/ (- x) (* a a)) (/ (sqr x) (/ a 1/6)))) (* a x)) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* 1/6 (* (cube a) x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* x (+ (* (* (* 1/6 x) (cube a)) x) (+ a (* (* x a) (* 1/2 a))))) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* 1/6 (* (cube (/ 1 a)) x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (+ (* x a) (* (+ (/ (* 1/6 x) (cube a)) (* (sqr a) 1/2)) (sqr x))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* 1/6 (* (cube (/ -1 a)) x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (+ (* (/ (- 1/6) (cube a)) (cube x)) (* x (+ a (* (* x 1/2) (sqr a))))) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* 1/6 (* (cube a) x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (* x (+ (* (* (* 1/6 x) (cube a)) x) (+ a (* (* x a) (* 1/2 a))))) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* 1/6 (* (cube (/ 1 a)) x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (+ (* x a) (* (+ (/ (* 1/6 x) (cube a)) (* (sqr a) 1/2)) (sqr x))) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* 1/6 (* (cube (/ -1 a)) x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (+ (* (/ (- 1/6) (cube a)) (cube x)) (* x (+ a (* (* x 1/2) (sqr a))))) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ (* x (* a 1/6)) 1/2)) (* a x)) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ (* x (* a 1/6)) 1/2)) (* a x)) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (sqr a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ (* x (* a 1/6)) 1/2)) (* a x)) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ 1/2 (* (* a 1/6) x))) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ 1/2 (* (* a 1/6) x))) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqr x)) (log (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (+ (+ (log x) (log x)) (log (+ (* (* x 1/6) (cube a)) (* (* a 1/2) a)))) * [exit]simplify: Simplified to (+ (+ (log x) (log x)) (log (+ (* (* x 1/6) (cube a)) (* (* a 1/2) a)))) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (log (* (+ (* (sqr a) 1/2) (* (cube a) (* x 1/6))) (sqr x))) * [exit]simplify: Simplified to (log (* (+ (* (sqr a) 1/2) (* (cube a) (* x 1/6))) (sqr x))) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (332 enodes) * [exit]simplify: Simplified to (pow (exp (sqr x)) (+ (* a (* a 1/2)) (* (cube a) (* x 1/6)))) * [exit]simplify: Simplified to (pow (exp (sqr x)) (+ (* a (* a 1/2)) (* (cube a) (* x 1/6)))) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqr x)) (cube (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (* (* (cube x) (cube x)) (cube (+ (* (* x 1/6) (cube a)) (* (* a 1/2) a)))) * [exit]simplify: Simplified to (* (* (cube x) (cube x)) (cube (+ (* (* x 1/6) (cube a)) (* (* a 1/2) a)))) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* a x) (* a x)) (+ 1/2 (* 1/6 (* a x))))) * [exit]simplify: Simplified to (cbrt (* (* (* a x) (* a x)) (+ 1/2 (* 1/6 (* a x))))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (cube (* (+ (* (* a 1/2) a) (* (cube a) (* x 1/6))) (sqr x))) * [exit]simplify: Simplified to (cube (* (+ (* (* a 1/2) a) (* (cube a) (* x 1/6))) (sqr x))) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqr x)) (cbrt (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (cbrt (sqr x)) (cbrt (+ (* (* x 1/6) (cube a)) (* (* a 1/2) a)))) * [exit]simplify: Simplified to (* (cbrt (sqr x)) (cbrt (+ (* (* x 1/6) (cube a)) (* (* a 1/2) a)))) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* a x) (* a x)) (+ 1/2 (* 1/6 (* a x))))) * [exit]simplify: Simplified to (sqrt (* (* (* a x) (* a x)) (+ 1/2 (* 1/6 (* a x))))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (sqrt (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (cube a) (* x 1/6)) (* (* a 1/2) a))) x) * [exit]simplify: Simplified to (* (sqrt (+ (* (cube a) (* x 1/6)) (* (* a 1/2) a))) x) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) (* (cube a) (* x 1/6))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (* (* (cube x) (cube a)) 1/6) * [exit]simplify: Simplified to (* (* (cube x) (cube a)) 1/6) * [enter]simplify: Simplifying (* (sqr x) (* 1/2 (sqr a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (* (* a a) (* 1/2 x)) x) * [exit]simplify: Simplified to (* (* (* a a) (* 1/2 x)) x) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cube a) (* x 1/6)) (sqr x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (* (* (* x 1/6) (cube a)) (sqr x)) * [exit]simplify: Simplified to (* (* (* x 1/6) (cube a)) (sqr x)) * [enter]simplify: Simplifying (* (* 1/2 (sqr a)) (sqr x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* 1/2 (* (* x a) (* x a))) * [exit]simplify: Simplified to (* 1/2 (* (* x a) (* x a))) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (sqr x) * [exit]simplify: Simplified to (sqr x) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (* (* x (sqr a)) (+ (* x (* 1/6 a)) 1/2)) * [exit]simplify: Simplified to (* (* x (sqr a)) (+ (* x (* 1/6 a)) 1/2)) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ 1/2 (* (* a 1/6) x))) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ 1/2 (* (* a 1/6) x))) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) (- (pow (* (cube a) (* x 1/6)) 3) (pow (* 1/2 (sqr a)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (* (- (cube (* (cube a) (* x 1/6))) (cube (* (sqr a) 1/2))) (sqr x)) * [exit]simplify: Simplified to (* (- (cube (* (cube a) (* x 1/6))) (cube (* (sqr a) 1/2))) (sqr x)) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) (- (sqr (* (cube a) (* x 1/6))) (sqr (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (* (* (* a x) (+ (* (* a 1/6) (* a x)) (* 1/2 a))) (* (* a x) (- (* (* a 1/6) (* a x)) (* 1/2 a)))) * [exit]simplify: Simplified to (* (* (* a x) (+ (* (* a 1/6) (* a x)) (* 1/2 a))) (* (* a x) (- (* (* a 1/6) (* a x)) (* 1/2 a)))) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube a) (* x 1/6)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (* x 1/6) (cube a)) * [exit]simplify: Simplified to (* (* x 1/6) (cube a)) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cube a)) (log (* x 1/6))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (+ (log (cube a)) (log (* 1/6 x))) * [exit]simplify: Simplified to (+ (log (cube a)) (log (* 1/6 x))) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cube a) (* x 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (log (* (* x 1/6) (cube a))) * [exit]simplify: Simplified to (log (* (* x 1/6) (cube a))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cube a) (* x 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (exp (* (* x 1/6) (cube a))) * [exit]simplify: Simplified to (exp (* (* x 1/6) (cube a))) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (cube a)) (cube (* x 1/6))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (cube (* 1/6 x)) (cube (cube a))) * [exit]simplify: Simplified to (* (cube (* 1/6 x)) (cube (cube a))) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cube a) (* x 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (* (* x 1/6) (cube a))) * [exit]simplify: Simplified to (cbrt (* (* x 1/6) (cube a))) * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cube a) (* x 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (cube (* (* x 1/6) (cube a))) * [exit]simplify: Simplified to (cube (* (* x 1/6) (cube a))) * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (cbrt (* x 1/6))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* a (cbrt (* 1/6 x))) * [exit]simplify: Simplified to (* a (cbrt (* 1/6 x))) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cube a) (* x 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (sqrt (* (* x 1/6) (cube a))) * [exit]simplify: Simplified to (sqrt (* (* x 1/6) (cube a))) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cube a)) (sqrt (* x 1/6))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (* 1/6 x)) (sqrt (cube a))) * [exit]simplify: Simplified to (* (sqrt (* 1/6 x)) (sqrt (cube a))) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube a) x) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* x (cube a)) * [exit]simplify: Simplified to (* x (cube a)) * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a a) (* x 1/6)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (* x 1/6) (sqr a)) * [exit]simplify: Simplified to (* (* x 1/6) (sqr a)) * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube a) (* x 1/6)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (* x 1/6) (cube a)) * [exit]simplify: Simplified to (* (* x 1/6) (cube a)) * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (cube a) (* x 1/6))) (exp (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (exp (+ (* a (* a 1/2)) (* (* x 1/6) (cube a)))) * [exit]simplify: Simplified to (exp (+ (* a (* a 1/2)) (* (* x 1/6) (cube a)))) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (log (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * [exit]simplify: Simplified to (log (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (exp (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * [exit]simplify: Simplified to (exp (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * [exit]simplify: Simplified to (cbrt (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (cube (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * [exit]simplify: Simplified to (cube (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * [exit]simplify: Simplified to (sqrt (+ (* (* x 1/6) (cube a)) (* 1/2 (sqr a)))) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (cube a) (* x 1/6)) 3) (pow (* 1/2 (sqr a)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (- (cube (* (* x 1/6) (cube a))) (cube (* a (* 1/2 a)))) * [exit]simplify: Simplified to (- (cube (* (* x 1/6) (cube a))) (cube (* a (* 1/2 a)))) * [enter]simplify: Simplifying (+ (sqr (* (cube a) (* x 1/6))) (- (sqr (* 1/2 (sqr a))) (* (* (cube a) (* x 1/6)) (* 1/2 (sqr a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (- (sqr (* (* a 1/2) a)) (* (- (* (* a 1/2) a) (* (* x 1/6) (cube a))) (* (* x 1/6) (cube a)))) * [exit]simplify: Simplified to (- (sqr (* (* a 1/2) a)) (* (- (* (* a 1/2) a) (* (* x 1/6) (cube a))) (* (* x 1/6) (cube a)))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (cube a) (* x 1/6))) (sqr (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (- (* (* x 1/6) (cube a)) (* (* a 1/2) a)) (+ (* (* a 1/2) a) (* (* x 1/6) (cube a)))) * [exit]simplify: Simplified to (* (- (* (* x 1/6) (cube a)) (* (* a 1/2) a)) (+ (* (* a 1/2) a) (* (* x 1/6) (cube a)))) * [enter]simplify: Simplifying (- (* (cube a) (* x 1/6)) (* 1/2 (sqr a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (* (* x 1/6) (cube a)) (* (* 1/2 a) a)) * [exit]simplify: Simplified to (- (* (* x 1/6) (cube a)) (* (* 1/2 a) a)) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* x 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 1/6 x)) * [exit]simplify: Simplified to (log (* 1/6 x)) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/6 x)) * [exit]simplify: Simplified to (exp (* 1/6 x)) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* x 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/6 x)) * [exit]simplify: Simplified to (cbrt (* 1/6 x)) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* x 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cube (* 1/6 x)) * [exit]simplify: Simplified to (cube (* 1/6 x)) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* x 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/6 x)) * [exit]simplify: Simplified to (sqrt (* 1/6 x)) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 67 ] 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: generating rewritten candidates * * * [misc]progress: simplifying candidates * * * [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) -2.6715888843965976e-09) #s(sp 1 (* a x) +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 (* a x) -2.6715888843965976e-09))) * [misc]splitpoints: intervals are: ((#s(sp 0 (* a x) -2.6715888843965976e-09) . #s(sp 1 (* a x) +inf.0))) * [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 (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ 1/2 (* (* a 1/6) x))) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ 1/2 (* (* a 1/6) x))) * [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) * [exit]simplify: Simplified to (* x a) * [enter]simplify: Simplifying (* (sqr x) (+ (* (cube a) (* x 1/6)) (* 1/2 (sqr a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ 1/2 (* (* a 1/6) x))) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ 1/2 (* (* a 1/6) x))) * [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) * [exit]simplify: Simplified to (* x a) * [enter]simplify: Simplifying (* (/ (/ 1/6 a) a) (/ (cube x) a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (/ (* 1/6 x) a) (* (/ a x) (/ a x))) * [exit]simplify: Simplified to (/ (/ (* 1/6 x) a) (* (/ a x) (/ a x))) * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* a x))) (* a x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (* 1/2 (* (* x a) (* x a))) (* x a)) * [exit]simplify: Simplified to (+ (* 1/2 (* (* x a) (* x a))) (* x a))