* [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 (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ (/ 1 a) x)) 1) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ (/ 1 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 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 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 2 2) * [misc]approximate: Taking taylor expansion of (* (* 1/6 (cube a)) (cube x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube a)) (cube x)) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube a)) 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) in x * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (cube x) in x * [misc]backup-simplify: Simplify (cube x) into (cube x) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube a)) (cube x)) in a * [misc]taylor: Taking taylor expansion of (* 1/6 (cube 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 a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (cube x) in a * [misc]backup-simplify: Simplify (cube x) into (cube x) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube a)) (cube x)) in a * [misc]taylor: Taking taylor expansion of (* 1/6 (cube 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 a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (cube x) in a * [misc]backup-simplify: Simplify (cube x) into (cube x) * [misc]backup-simplify: Simplify (* 1/6 (cube a)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (* (* 1/6 (cube a)) (cube x)) into (* 1/6 (* (cube x) (cube a))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube x) (cube a))) 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 x) (cube a)) in x * [misc]taylor: Taking taylor expansion of (cube x) in x * [misc]backup-simplify: Simplify (cube x) into (cube x) * [misc]taylor: Taking taylor expansion of (cube a) in x * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]backup-simplify: Simplify (* (cube x) (cube a)) into (* (cube x) (cube a)) * [misc]backup-simplify: Simplify (* 1/6 (* (cube x) (cube a))) into (* 1/6 (* (cube x) (cube a))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube x) (cube a))) into (* 1/6 (* (cube x) (cube a))) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube a))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube a)) 0) (* 0 (cube 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 x) 0) (* 0 (cube a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (* (cube x) (cube a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube a)) 0) (+ (* 0 0) (* 0 (cube 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 x) 0) (+ (* 0 0) (* 0 (cube a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* (cube x) (cube a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube 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 (* 1/6 (* (cube x) (cube a))) into (* 1/6 (* (cube x) (cube a))) * [misc]approximate: Taking taylor expansion of (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 a))) 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)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 x)) in x * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) in 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]taylor: Taking taylor expansion of (cube (/ 1 x)) in a * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) in 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]taylor: Taking taylor expansion of (cube (/ 1 x)) in a * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 a))) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 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)) (cube (/ 1 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 (cube (/ 1 x)) in x * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]backup-simplify: Simplify (* (cube (/ 1 a)) (cube (/ 1 x))) into (* (cube (/ 1 a)) (cube (/ 1 x))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ 1 a))) 0) (* 0 (cube (/ 1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (* 0 (cube (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (* (cube (/ 1 a)) (cube (/ 1 x))))) 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 (+ (* (* 1/6 (cube (/ 1 a))) 0) (+ (* 0 0) (* 0 (cube (/ 1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 a)) 0) (+ (* 0 0) (* 0 (cube (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* (cube (/ 1 a)) (cube (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ 1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 (- a)))) 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))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- x))) into (cube (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))) in 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]taylor: Taking taylor expansion of (cube (/ 1 (- x))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (- x))) into (cube (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))) in 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]taylor: Taking taylor expansion of (cube (/ 1 (- x))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (- x))) into (cube (/ -1 x)) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ -1 a))) into (* 1/6 (cube (/ -1 a))) * [misc]backup-simplify: Simplify (* (* 1/6 (cube (/ -1 a))) (cube (/ -1 x))) into (* 1/6 (* (cube (/ -1 x)) (cube (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube (/ -1 x)) (cube (/ -1 a)))) 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 x)) (cube (/ -1 a))) in x * [misc]taylor: Taking taylor expansion of (cube (/ -1 x)) in x * [misc]backup-simplify: Simplify (cube (/ -1 x)) into (cube (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cube (/ -1 a)) in x * [misc]backup-simplify: Simplify (cube (/ -1 a)) into (cube (/ -1 a)) * [misc]backup-simplify: Simplify (* (cube (/ -1 x)) (cube (/ -1 a))) into (* (cube (/ -1 a)) (cube (/ -1 x))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) into (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) into (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ -1 a))) 0) (* 0 (cube (/ -1 x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (* 0 (cube (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (* (cube (/ -1 a)) (cube (/ -1 x))))) 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 (+ (* (* 1/6 (cube (/ -1 a))) 0) (+ (* 0 0) (* 0 (cube (/ -1 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (+ (* 0 0) (* 0 (cube (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* (cube (/ -1 a)) (cube (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ -1 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) into (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* x 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 (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* x a) (* (* 1/6 (cube a)) (cube x))) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube a)) (cube x)) in a * [misc]taylor: Taking taylor expansion of (* 1/6 (cube 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 a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (cube x) in a * [misc]backup-simplify: Simplify (cube x) into (cube x) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* x 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 (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* x a) (* (* 1/6 (cube a)) (cube x))) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube a)) (cube x)) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube a)) 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) in x * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (cube x) in x * [misc]backup-simplify: Simplify (cube x) into (cube x) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* x 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 (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* x a) (* (* 1/6 (cube a)) (cube x))) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube a)) (cube x)) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube a)) 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) in x * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (cube x) in x * [misc]backup-simplify: Simplify (cube x) into (cube x) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube a)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (* (* 1/6 (cube a)) (cube x)) into (* 1/6 (* (cube x) (cube a))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (* (cube x) (cube a)))) into (* 1/6 (* (cube x) (cube a))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (* (cube x) (cube a)))) into (* 1/6 (* (cube x) (cube a))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube x) (cube 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 x) (cube a)) in a * [misc]taylor: Taking taylor expansion of (cube x) in a * [misc]backup-simplify: Simplify (cube x) into (cube x) * [misc]taylor: Taking taylor expansion of (cube a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]backup-simplify: Simplify (* (cube x) (cube a)) into (* (cube x) (cube a)) * [misc]backup-simplify: Simplify (* 1/6 (* (cube x) (cube a))) into (* 1/6 (* (cube x) (cube a))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube x) (cube a))) into (* 1/6 (* (cube x) (cube a))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 a) (* a 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube a))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube a)) 0) (* 0 (cube x))) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (* 0 (cube a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (* (cube x) (cube a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a a) (* 0 0))) into (sqr a) * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr a)) (+ (* 0 0) (* 0 0))) into (* 1/2 (sqr a)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube a)) 0) (+ (* 0 0) (* 0 (cube x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr a)) 0) 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 1 into 1 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (+ (* 0 0) (* 0 (cube a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (* (cube x) (cube a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a 0) (+ (* 0 a) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (sqr a)) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* (cube x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cube x) (cube a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a 0) (+ (* 0 0) (+ (* 0 a) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (sqr a)) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* a x)) (* 1/6 (* (cube x) (cube a)))) into (+ (* 1/6 (* (cube x) (cube a))) (* a x)) * [misc]approximate: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 x) (/ 1 a)))) (+ (* (/ 1 x) (/ 1 a)) (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 x) (/ 1 a)))) (+ (* (/ 1 x) (/ 1 a)) (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 x) (/ 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 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 a)) (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) in 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]taylor: Taking taylor expansion of (cube (/ 1 x)) in a * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 x) (/ 1 a)))) (+ (* (/ 1 x) (/ 1 a)) (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 x) (/ 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 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 a)) (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 a))) 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)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 x)) in x * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 x) (/ 1 a)))) (+ (* (/ 1 x) (/ 1 a)) (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 x) (/ 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 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 a)) (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 a))) 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)) in x * [misc]backup-simplify: Simplify (cube (/ 1 a)) into (cube (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 x)) in x * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [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 (+ (/ 1/2 (sqr a)) 0) 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 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 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 a))) into (* 1/6 (cube (/ 1 a))) * [misc]backup-simplify: Simplify (* (* 1/6 (cube (/ 1 a))) (cube (/ 1 x))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x))))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x))))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) 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)) (cube (/ 1 x))) 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 (cube (/ 1 x)) in a * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ 1 a))) 0) (* 0 (cube (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ 1 a))) 0) (+ (* 0 0) (* 0 (cube (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cube (/ 1 a)) (cube (/ 1 x))) into (* (cube (/ 1 a)) (cube (/ 1 x))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) into (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) (+ (* 1 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x)))) (* 1/2 (sqr (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x))))))) into (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) (* a x))) * [misc]approximate: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 (- x)) (/ 1 (- a))))) (+ (* (/ 1 (- x)) (/ 1 (- a))) (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 (- x)) (/ 1 (- a))))) (+ (* (/ 1 (- x)) (/ 1 (- a))) (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 (- x)) (/ 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 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- a))) (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))) in 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]taylor: Taking taylor expansion of (cube (/ 1 (- x))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (- x))) into (cube (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 (- x)) (/ 1 (- a))))) (+ (* (/ 1 (- x)) (/ 1 (- a))) (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 (- x)) (/ 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 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- a))) (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 (- a)))) 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))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- x))) into (cube (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 (- x)) (/ 1 (- a))))) (+ (* (/ 1 (- x)) (/ 1 (- a))) (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 (- x)) (/ 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 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- a))) (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* 1/6 (cube (/ 1 (- a)))) (cube (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 (- a)))) 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))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- a))) into (cube (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (- x))) into (cube (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [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 (+ (/ 1/2 (sqr a)) 0) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube (/ -1 a))) into (* 1/6 (cube (/ -1 a))) * [misc]backup-simplify: Simplify (* (* 1/6 (cube (/ -1 a))) (cube (/ -1 x))) into (* 1/6 (* (cube (/ -1 x)) (cube (/ -1 a)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (* (cube (/ -1 x)) (cube (/ -1 a))))) into (* 1/6 (* (cube (/ -1 x)) (cube (/ -1 a)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (* (cube (/ -1 x)) (cube (/ -1 a))))) into (* 1/6 (* (cube (/ -1 x)) (cube (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube (/ -1 x)) (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 x)) (cube (/ -1 a))) in a * [misc]taylor: Taking taylor expansion of (cube (/ -1 x)) in a * [misc]backup-simplify: Simplify (cube (/ -1 x)) into (cube (/ -1 x)) * [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 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ -1 a))) 0) (* 0 (cube (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ -1 a))) 0) (+ (* 0 0) (* 0 (cube (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cube (/ -1 x)) (cube (/ -1 a))) into (* (cube (/ -1 a)) (cube (/ -1 x))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) into (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) * [misc]backup-simplify: Simplify (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) into (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) (+ (* 1 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x))))) (* 1/2 (sqr (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x)))))))) into (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) (* a x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqr (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr (* 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) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 a) (* a 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a a) (* 0 0))) into (sqr 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 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) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [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 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x))))) into (* (sqr a) (sqr x)) * [misc]approximate: Taking taylor expansion of (sqr (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [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 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x)))))) into (* (sqr a) (sqr x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* 1/6 (cube a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* 1/6 (cube 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 a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]taylor: Taking taylor expansion of (* 1/6 (cube 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 a) in a * [misc]backup-simplify: Simplify (cube a) into (cube a) * [misc]backup-simplify: Simplify (* 1/6 (cube a)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (* 1/6 (cube a)) into (* 1/6 (cube a)) * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube a))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube a)) into (* 1/6 (cube a)) * [misc]approximate: Taking taylor expansion of (* 1/6 (cube (/ 1 a))) in (a) around 0 * [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]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 (* 1/6 (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 0) (* 0 (cube (/ 1 a)))) 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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))) into (* 1/6 (cube (/ 1 a))) * [misc]approximate: Taking taylor expansion of (* 1/6 (cube (/ 1 (- a)))) in (a) around 0 * [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]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 (* 1/6 (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 0) (* 0 (cube (/ -1 a)))) 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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))) into (* 1/6 (cube (/ -1 a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* 1/6 (* (cube x) (cube a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/2 (* (* x a) (* x a))) (* x a)) (* 1/6 (* (cube x) (cube a)))) * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (+ (+ (/ (/ 1/6 (cube a)) (cube x)) (* x a)) (* 1/2 (* (* x a) (* x a)))) * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (- 1/6) (cube a)) (/ -1 (cube x))) (* x a)) (* 1/2 (* (* x a) (* x a)))) * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (cube x) (cube a))) (* a x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (+ (* a x) (* (* (* 1/6 a) (cube x)) (* a a))) * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (cube (/ 1 a)) (cube (/ 1 x)))) (* a x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (+ (+ (* x a) (* 1/2 (sqr (* x a)))) (/ (/ 1/6 (cube a)) (cube x))) * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (cube (/ -1 a)) (cube (/ -1 x)))) (* a x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (+ (* (/ -1 (cube x)) (/ (- 1/6) (cube a))) (+ (* x a) (* 1/2 (* (* x a) (* x a))))) * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 0) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (+ (* a x) (* (* (cube a) (cube x)) 1/6)) * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (+ (* x a) (* (* a a) (+ (* (cube x) (* 1/6 a)) (* 1/2 (* x x))))) * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (+ (* x a) (* (* a a) (+ (* (cube x) (* 1/6 a)) (* 1/2 (* x x))))) * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/2 (* (* x a) (* x a))) (* x a)) (* (* (cube a) (* 1/6 x)) (* x x))) * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube (/ 1 a))) (cube x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (+ (+ (* (cube (/ x a)) 1/6) (* 1/2 (* (* x a) (* x a)))) (* x a)) * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube (/ -1 a))) (cube x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/2 (* (* x a) (* x a))) (* x a)) (* (/ (- 1/6) (* a a)) (/ (* x x) (/ a x)))) * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1/6 (cube a)) (cube x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (* (cube a) 1/6) (cube x)) * [exit]simplify: Simplified to (* (* (cube a) 1/6) (cube x)) * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* 1/6 (cube a))) (log (cube x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ (log (cube x)) (log (* (cube a) 1/6))) * [exit]simplify: Simplified to (+ (log (cube x)) (log (* (cube a) 1/6))) * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* 1/6 (cube a)) (cube x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (log (* (* (cube a) 1/6) (cube x))) * [exit]simplify: Simplified to (log (* (* (cube a) 1/6) (cube x))) * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* 1/6 (cube a)) (cube x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (pow (pow (exp 1/6) (cube a)) (cube x)) * [exit]simplify: Simplified to (pow (pow (exp 1/6) (cube a)) (cube x)) * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* 1/6 (cube a))) (cube (cube x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (cube (cube x)) (cube (* (cube a) 1/6))) * [exit]simplify: Simplified to (* (cube (cube x)) (cube (* (cube a) 1/6))) * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* 1/6 (cube a)) (cube x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* a 1/6) (cube x)) (* a a))) * [exit]simplify: Simplified to (cbrt (* (* (* a 1/6) (cube x)) (* a a))) * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (* 1/6 (cube a)) (cube x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (cube (* 1/6 (cube (* a x)))) * [exit]simplify: Simplified to (cube (* 1/6 (cube (* a x)))) * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* 1/6 (cube a))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cube a) 1/6)) x) * [exit]simplify: Simplified to (* (cbrt (* (cube a) 1/6)) x) * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* 1/6 (cube a)) (cube x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* a 1/6) (cube x)) (* a a))) * [exit]simplify: Simplified to (sqrt (* (* (* a 1/6) (cube x)) (* a a))) * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* 1/6 (cube a))) (sqrt (cube x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (cube x)) (sqrt (* (cube a) 1/6))) * [exit]simplify: Simplified to (* (sqrt (cube x)) (sqrt (* (cube a) 1/6))) * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1/6 (cube a)) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (* 1/6 x) (cube a)) * [exit]simplify: Simplified to (* (* 1/6 x) (cube a)) * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1/6 (cube a)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* (cube a) 1/6) * [exit]simplify: Simplified to (* (cube a) 1/6) * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube a) (cube x)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (cube x) (cube a)) * [exit]simplify: Simplified to (* (cube x) (cube a)) * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* 1/2 (sqr (* x a)))) (* (exp (* x a)) (exp (* (* 1/6 (cube a)) (cube x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (pow (exp x) (+ a (* (* x a) (* a 1/2)))) (pow (pow (exp 1/6) (cube a)) (cube x))) * [exit]simplify: Simplified to (* (pow (exp x) (+ a (* (* x a) (* a 1/2)))) (pow (pow (exp 1/6) (cube a)) (cube x))) * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* 1/2 (sqr (* x a)))) (exp (+ (* x a) (* (* 1/6 (cube a)) (cube x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (* (exp (* x a)) (pow (exp (* a a)) (+ (* (* x 1/2) x) (* (cube x) (* 1/6 a))))) * [exit]simplify: Simplified to (* (exp (* x a)) (pow (exp (* a a)) (+ (* (* x 1/2) x) (* (cube x) (* 1/6 a))))) * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (log (+ (* x a) (* (* x x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (* a a)))))) * [exit]simplify: Simplified to (log (+ (* x a) (* (* x x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (* a a)))))) * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (* (pow (exp (* x x)) (+ (* 1/2 (* a a)) (* (* 1/6 x) (cube a)))) (exp (* x a))) * [exit]simplify: Simplified to (* (pow (exp (* x x)) (+ (* 1/2 (* a a)) (* (* 1/6 x) (cube a)))) (exp (* x a))) * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (cbrt (+ (* x a) (* (* x x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (* a a)))))) * [exit]simplify: Simplified to (cbrt (+ (* x a) (* (* x x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (* a a)))))) * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * [exit]simplify: Simplified to (cube (+ (+ (* 1/2 (* (* x a) (* x a))) (* x a)) (* (* 1/6 (cube x)) (cube a)))) * [exit]simplify: Simplified to (cube (+ (+ (* 1/2 (* (* x a) (* x a))) (* x a)) (* (* 1/6 (cube x)) (cube a)))) * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x a) (* (* x x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (* a a)))))) * [exit]simplify: Simplified to (sqrt (+ (* x a) (* (* x x) (+ (* (cube a) (* 1/6 x)) (* 1/2 (* a a)))))) * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* 1/2 (sqr (* x a))) 3) (pow (+ (* x a) (* (* 1/6 (cube a)) (cube x))) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * [exit]simplify: Simplified to (- (cube (* 1/2 (* (* x a) (* x a)))) (cube (+ (* (cube (* x a)) 1/6) (* x a)))) * [exit]simplify: Simplified to (- (cube (* 1/2 (* (* x a) (* x a)))) (cube (+ (* (cube (* x a)) 1/6) (* x a)))) * [enter]simplify: Simplifying (+ (sqr (* 1/2 (sqr (* x a)))) (- (sqr (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) (* (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (- (* (+ (* 1/6 (cube (* x a))) (* x a)) (+ (* 1/6 (cube (* x a))) (* x a))) (* (* 1/2 (* (* x a) (* x a))) (+ (- (* x a) (* 1/2 (* (* x a) (* x a)))) (* 1/6 (cube (* x a)))))) * [exit]simplify: Simplified to (- (* (+ (* 1/6 (cube (* x a))) (* x a)) (+ (* 1/6 (cube (* x a))) (* x a))) (* (* 1/2 (* (* x a) (* x a))) (+ (- (* x a) (* 1/2 (* (* x a) (* x a)))) (* 1/6 (cube (* x a)))))) * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* 1/2 (sqr (* x a)))) (sqr (+ (* x a) (* (* 1/6 (cube a)) (cube x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (- (* (* 1/2 (* (* x a) (* x a))) (* 1/2 (* (* x a) (* x a)))) (* (+ (* (* 1/6 (cube x)) (cube a)) (* x a)) (+ (* (* 1/6 (cube x)) (cube a)) (* x a)))) * [exit]simplify: Simplified to (- (* (* 1/2 (* (* x a) (* x a))) (* 1/2 (* (* x a) (* x a)))) (* (+ (* (* 1/6 (cube x)) (cube a)) (* x a)) (+ (* (* 1/6 (cube x)) (cube a)) (* x a)))) * [enter]simplify: Simplifying (- (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (- (- (* 1/2 (* (* x a) (* x a))) (* x a)) (* (* (* 1/6 x) (cube a)) (* x x))) * [exit]simplify: Simplified to (- (- (* 1/2 (* (* x a) (* x a))) (* x a)) (* (* (* 1/6 x) (cube a)) (* x x))) * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (* x a)) * * [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)) * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (* (* a x) (* a x))) * [exit]simplify: Simplified to (exp (* (* a x) (* a x))) * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (* a x) (* a x))) * [exit]simplify: Simplified to (cbrt (* (* a x) (* a x))) * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cube (* a x)) (cube (* a x))) * [exit]simplify: Simplified to (* (cube (* a x)) (cube (* a x))) * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (fabs (* a x)) * [exit]simplify: Simplified to (fabs (* a x)) * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr x) * [exit]simplify: Simplified to (sqr x) * [enter]simplify: Simplifying (sqr a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr a) * [exit]simplify: Simplified to (sqr a) * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* 1/6 (cube a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (* (cube a) 1/6)) * [exit]simplify: Simplified to (log (* (cube a) 1/6)) * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/6 (cube a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (pow (exp 1/6) (cube a)) * [exit]simplify: Simplified to (pow (exp 1/6) (cube a)) * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* 1/6 (cube a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (cbrt (* (* a 1/6) (* a a))) * [exit]simplify: Simplified to (cbrt (* (* a 1/6) (* a a))) * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* 1/6 (cube a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (cube (* (cube a) 1/6)) * [exit]simplify: Simplified to (cube (* (cube a) 1/6)) * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* 1/6 (cube a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (sqrt (* (* a 1/6) (* a a))) * [exit]simplify: Simplified to (sqrt (* (* a 1/6) (* a a))) * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a 1/6) * [exit]simplify: Simplified to (* a 1/6) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/6 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1/6 * [exit]simplify: Simplified to 1/6 * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* a x))))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* a x))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* a x))))) into (* 1/6 (cube (* a x))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* a x))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* a x))))) into (* 1/6 (cube (* a x))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* a x))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* a 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]backup-simplify: Simplify (cube (* a x)) into (cube (* a x)) * [misc]backup-simplify: Simplify (* 1/6 (cube (* a x))) into (* 1/6 (cube (* a x))) * [misc]backup-simplify: Simplify (* 1/6 (cube (* a x))) into (* 1/6 (cube (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (* a x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (* a x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube (* a x))) into (* 1/6 (cube (* a x))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 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]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]approximate: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- 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]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* x 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 (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* a x))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* a x))))) into (* 1/6 (cube (* a x))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* x 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 (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* a x))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* a x))))) into (* 1/6 (cube (* a x))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* x 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 (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* a x))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* a x))))) into (* 1/6 (cube (* a x))) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (cube (* a x)))) into (* 1/6 (cube (* a x))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (cube (* a x)))) into (* 1/6 (cube (* a x))) * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (* a x))) 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 (* a x)) in a * [misc]backup-simplify: Simplify (cube (* a x)) into (cube (* a x)) * [misc]backup-simplify: Simplify (* 1/6 (cube (* a x))) into (* 1/6 (cube (* a x))) * [misc]backup-simplify: Simplify (* 1/6 (cube (* a x))) into (* 1/6 (cube (* a x))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 a) (* a 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (* a x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a a) (* 0 0))) into (sqr a) * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr a)) (+ (* 0 0) (* 0 0))) into (* 1/2 (sqr a)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr a)) 0) 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 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (* a x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a 0) (+ (* 0 a) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (sqr a)) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* a x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a 0) (+ (* 0 0) (+ (* 0 a) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (sqr a)) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* a x)) (* 1/6 (cube (* a x)))) into (+ (* a x) (* 1/6 (cube (* a x)))) * [misc]approximate: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 x) (/ 1 a)))) (+ (* (/ 1 x) (/ 1 a)) (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 x) (/ 1 a)))) (+ (* (/ 1 x) (/ 1 a)) (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 x) (/ 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 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 a)) (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x))))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 x) (/ 1 a)))) (+ (* (/ 1 x) (/ 1 a)) (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 x) (/ 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 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 a)) (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 x) (/ 1 a)))) (+ (* (/ 1 x) (/ 1 a)) (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 x) (/ 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 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 a)) (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 a) (/ 1 x)))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [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 (+ (/ 1/2 (sqr a)) 0) 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 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 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (cube (/ 1 (* a x))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (cube (/ 1 (* a x))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 (* a x)))) 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 x))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (+ (* 1/6 (cube (/ 1 (* a x)))) (+ (* 1 (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x)))) (* 1/2 (sqr (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x))))))) into (+ (* 1/6 (cube (/ 1 (* a x)))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * [misc]approximate: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 (- x)) (/ 1 (- a))))) (+ (* (/ 1 (- x)) (/ 1 (- a))) (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 (- x)) (/ 1 (- a))))) (+ (* (/ 1 (- x)) (/ 1 (- a))) (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 (- x)) (/ 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 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- a))) (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x)))))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) in a * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 (- x)) (/ 1 (- a))))) (+ (* (/ 1 (- x)) (/ 1 (- a))) (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 (- x)) (/ 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 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- a))) (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (sqr (* (/ 1 (- x)) (/ 1 (- a))))) (+ (* (/ 1 (- x)) (/ 1 (- a))) (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr (* (/ 1 (- x)) (/ 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 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (/ 1 (- a))) (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (cbrt (cube (* 1/6 (cube (* (/ 1 (- a)) (/ 1 (- x))))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [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 (+ (/ 1/2 (sqr a)) 0) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (cube (/ 1 (* a x))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (cube (/ 1 (* a x))))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]taylor: Taking taylor expansion of (* 1/6 (cube (/ 1 (* a x)))) 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 x))) in a * [misc]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqr a))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 (* a x)))) into (* 1/6 (cube (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (+ (* 1/6 (cube (/ 1 (* a x)))) (+ (* 1 (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x))))) (* 1/2 (sqr (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x)))))))) into (+ (* 1/6 (cube (/ 1 (* a x)))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqr (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (sqr (* 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) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 a) (* a 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* a a) (* 0 0))) into (sqr 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 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) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [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 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 a)) (/ 1 (/ 1 x))))) into (* (sqr a) (sqr x)) * [misc]approximate: Taking taylor expansion of (sqr (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [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 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- x)))))) into (* (sqr a) (sqr x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (cube (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (* a x)) in x * [misc]backup-simplify: Simplify (cube (* a x)) into (cube (* a x)) * [misc]taylor: Taking taylor expansion of (cube (* a x)) in a * [misc]backup-simplify: Simplify (cube (* a x)) into (cube (* a x)) * [misc]taylor: Taking taylor expansion of (cube (* a x)) in a * [misc]backup-simplify: Simplify (cube (* a x)) into (cube (* a x)) * [misc]taylor: Taking taylor expansion of (cube (* a x)) in x * [misc]backup-simplify: Simplify (cube (* a x)) into (cube (* a x)) * [misc]backup-simplify: Simplify (cube (* a x)) into (cube (* a x)) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* a x)) into (cube (* a x)) * [misc]approximate: Taking taylor expansion of (cube (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (/ 1 a) (/ 1 x))) in x * [misc]backup-simplify: Simplify (cube (* (/ 1 a) (/ 1 x))) into (cube (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (* (/ 1 a) (/ 1 x))) in a * [misc]backup-simplify: Simplify (cube (* (/ 1 a) (/ 1 x))) into (cube (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (* (/ 1 a) (/ 1 x))) in a * [misc]backup-simplify: Simplify (cube (* (/ 1 a) (/ 1 x))) into (cube (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (* a x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (cube (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]backup-simplify: Simplify (cube (* (/ 1 (- a)) (/ 1 (- x)))) into (cube (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]backup-simplify: Simplify (cube (* (/ 1 (- a)) (/ 1 (- x)))) into (cube (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]backup-simplify: Simplify (cube (* (/ 1 (- a)) (/ 1 (- x)))) into (cube (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (cube (/ 1 (* a x))) in x * [misc]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ 1 (* a x))) into (cube (/ 1 (* a x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* 1/6 (cube (* a x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) (+ (* 1/6 (* x a)) 1/2)) (* x a)) * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* 1/6 (cube (/ 1 (* a x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (+ (+ (* x a) (* 1/2 (* (* x a) (* x a)))) (/ 1/6 (cube (* x a)))) * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* 1/6 (cube (/ 1 (* a x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (+ (+ (* x a) (* 1/2 (* (* x a) (* x a)))) (/ 1/6 (cube (* x a)))) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a x) (* 1/6 (cube (* a x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (+ (* x a) (* (cube (* x a)) 1/6)) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (cube (/ 1 (* a x)))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (+ (+ (* a x) (* (* 1/2 (* a x)) (* a x))) (* 1/6 (/ 1 (cube (* a x))))) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (cube (/ 1 (* a x)))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (+ (+ (* a x) (* (* 1/2 (* a x)) (* a x))) (* 1/6 (/ 1 (cube (* a x))))) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 0) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (+ (* (cube (* a x)) 1/6) (* a x)) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) (+ 1/2 (* x (* 1/6 a)))) (* x a)) * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (+ (* (* (* x a) (* x a)) (+ 1/2 (* x (* 1/6 a)))) (* x a)) * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 1/6 (* x a)) 1/2) (* (* x a) (* x a))) (* x a)) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (/ 1 (* a x)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1/6 (cube (* x a))) (* x a)) (* 1/2 (* (* x a) (* x a)))) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (/ 1 (* a x)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1/6 (cube (* x a))) (* x a)) (* 1/2 (* (* x a) (* x a)))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (cube (* 1/6 (cube (* a x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (log (* 1/6 (cube (* a x)))) * [exit]simplify: Simplified to (log (* 1/6 (cube (* a x)))) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (cube (* 1/6 (cube (* a x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (496 enodes) * [exit]simplify: Simplified to (pow (exp 1/6) (cube (* a x))) * [exit]simplify: Simplified to (pow (exp 1/6) (cube (* a x))) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube 1/6)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 1/6 * [exit]simplify: Simplified to 1/6 * [enter]simplify: Simplifying (cbrt (cube (cube (* a x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (cube (* x a)) * [exit]simplify: Simplified to (cube (* x a)) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* 1/6 (cube (* a x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (cbrt (* 1/6 (cube (* a x)))) * [exit]simplify: Simplified to (cbrt (* 1/6 (cube (* a x)))) * [enter]simplify: Simplifying (cbrt (* (* 1/6 (cube (* a x))) (* 1/6 (cube (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (cbrt (* (* 1/6 (cube (* a x))) (* 1/6 (cube (* a x))))) * [exit]simplify: Simplified to (cbrt (* (* 1/6 (cube (* a x))) (* 1/6 (cube (* a x))))) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (cube (* 1/6 (cube (* a x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (* 1/6 (cube (* a x))) * [exit]simplify: Simplified to (* 1/6 (cube (* a x))) * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cube (* 1/6 (cube (* a x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (cbrt (* 1/6 (cube (* a x)))) * [exit]simplify: Simplified to (cbrt (* 1/6 (cube (* a x)))) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (cube (* 1/6 (cube (* a x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (cube (* 1/6 (cube (* a x)))) * [exit]simplify: Simplified to (cube (* 1/6 (cube (* a x)))) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (cube (* 1/6 (cube (* a x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (sqrt (* 1/6 (cube (* a x)))) * [exit]simplify: Simplified to (sqrt (* 1/6 (cube (* a x)))) * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* 1/2 (sqr (* x a)))) (* (exp (* x a)) (exp (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (* (* (pow (exp 1/2) (* (* x a) (* x a))) (pow (exp 1/6) (cube (* x a)))) (exp (* x a))) * [exit]simplify: Simplified to (* (* (pow (exp 1/2) (* (* x a) (* x a))) (pow (exp 1/6) (cube (* x a)))) (exp (* x a))) * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* 1/2 (sqr (* x a)))) (exp (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (* (exp (* x a)) (pow (exp (* (* x a) (* x a))) (+ (* a (* x 1/6)) 1/2))) * [exit]simplify: Simplified to (* (exp (* x a)) (pow (exp (* (* x a) (* x a))) (+ (* a (* x 1/6)) 1/2))) * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (log (+ (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x))) (* x a))) * [exit]simplify: Simplified to (log (+ (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x))) (* x a))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (* (* (pow (exp 1/2) (* (* x a) (* x a))) (exp (* x a))) (pow (exp 1/6) (cube (* x a)))) * [exit]simplify: Simplified to (* (* (pow (exp 1/2) (* (* x a) (* x a))) (exp (* x a))) (pow (exp 1/6) (cube (* x a)))) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x))) (* x a))) * [exit]simplify: Simplified to (cbrt (+ (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x))) (* x a))) * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (cube (+ (* x a) (* (* (* x a) (* x a)) (+ 1/2 (* x (* a 1/6)))))) * [exit]simplify: Simplified to (cube (+ (* x a) (* (* (* x a) (* x a)) (+ 1/2 (* x (* a 1/6)))))) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x))) (* x a))) * [exit]simplify: Simplified to (sqrt (+ (* (* (* x a) (* x a)) (+ 1/2 (* (* a 1/6) x))) (* x a))) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* 1/2 (sqr (* x a))) 3) (pow (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))) 3)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (- (cube (* 1/2 (* (* x a) (* x a)))) (cube (+ (* (cube (* x a)) 1/6) (* x a)))) * [exit]simplify: Simplified to (- (cube (* 1/2 (* (* x a) (* x a)))) (cube (+ (* (cube (* x a)) 1/6) (* x a)))) * [enter]simplify: Simplifying (+ (sqr (* 1/2 (sqr (* x a)))) (- (sqr (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) (* (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (+ (* (* 1/2 (* (* x a) (* x a))) (* 1/2 (* (* x a) (* x a)))) (- (sqr (+ (* 1/6 (cube (* x a))) (* x a))) (* (* 1/2 (* (* x a) (* x a))) (+ (* 1/6 (cube (* x a))) (* x a))))) * [exit]simplify: Simplified to (+ (* (* 1/2 (* (* x a) (* x a))) (* 1/2 (* (* x a) (* x a)))) (- (sqr (+ (* 1/6 (cube (* x a))) (* x a))) (* (* 1/2 (* (* x a) (* x a))) (+ (* 1/6 (cube (* x a))) (* x a))))) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* 1/2 (sqr (* x a)))) (sqr (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (- (* (* 1/2 (* (* x a) (* x a))) (* 1/2 (* (* x a) (* x a)))) (sqr (+ (* 1/6 (cube (* x a))) (* x a)))) * [exit]simplify: Simplified to (- (* (* 1/2 (* (* x a) (* x a))) (* 1/2 (* (* x a) (* x a)))) (sqr (+ (* 1/6 (cube (* x a))) (* x a)))) * [enter]simplify: Simplifying (- (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (- (- (* 1/2 (* (* x a) (* x a))) (* x a)) (* (cube (* x a)) 1/6)) * [exit]simplify: Simplified to (- (- (* 1/2 (* (* x a) (* x a))) (* x a)) (* (cube (* x a)) 1/6)) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (sqr (* x a))) (* x a)) * * [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)) * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * [exit]simplify: Simplified to (+ (log (* a x)) (log (* a x))) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (* (* a x) (* a x))) * [exit]simplify: Simplified to (exp (* (* a x) (* a x))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (* a x) (* a x))) * [exit]simplify: Simplified to (cbrt (* (* a x) (* a x))) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cube (* a x)) (cube (* a x))) * [exit]simplify: Simplified to (* (cube (* a x)) (cube (* a x))) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (fabs (* a x)) * [exit]simplify: Simplified to (fabs (* a x)) * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr x) * [exit]simplify: Simplified to (sqr x) * [enter]simplify: Simplifying (sqr a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr a) * [exit]simplify: Simplified to (sqr a) * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (cube (* x a))) * [exit]simplify: Simplified to (log (cube (* x a))) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (exp (cube (* x a))) * [exit]simplify: Simplified to (exp (cube (* x a))) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* x a) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cube (cube (* x a))) * [exit]simplify: Simplified to (cube (cube (* x a))) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cube a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube a) * [exit]simplify: Simplified to (cube a) * [enter]simplify: Simplifying (cube x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube x) * [exit]simplify: Simplified to (cube x) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a x) (* a x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (* x a) (* x a)) * [exit]simplify: Simplified to (* (* x a) (* x a)) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (sqrt (cube (* x a))) * [exit]simplify: Simplified to (sqrt (cube (* x a))) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* 1/6 (cube (* a x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (* 1/6 (cube (* a x))) * [exit]simplify: Simplified to (* 1/6 (cube (* a x))) * [enter]simplify: Simplifying (cube (+ (* 1/2 (sqr (* x a))) (+ (* x a) (cbrt (cube (* 1/6 (cube (* a x)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (cube (+ (* x a) (* (* (* x a) (* x a)) (+ 1/2 (* x (* a 1/6)))))) * [exit]simplify: Simplified to (cube (+ (* x a) (* (* (* x a) (* x a)) (+ 1/2 (* x (* a 1/6)))))) * [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))