* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (exp (* a x)) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow x 5)) 0) into (* 1/120 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/120 in x * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) 0) into (* 1/720 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/720 in x * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* x a) 3)) (+ (* 1/2 (sqr (* x a))) (* 1 (* x a)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (+ (* 1/6 (* (cube a) (cube x))) (+ (* a x) (* (* a x) (* (* a x) 1/2)))) * * * * [misc]progress: [ 2 / 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 (* x a))) 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 (* x a))) 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 (- (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 (35 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ (+ (pow (exp a) (+ x x)) 1) (exp (* x a))) * [exit]simplify: Simplified to (+ (+ (pow (exp a) (+ x x)) 1) (exp (* x a))) * * * * [misc]progress: [ 11 / 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: [ 12 / 14 ] simplifiying candidate # * * * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * * * * [misc]progress: [ 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 (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [enter]simplify: Simplifying (- (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (exp (* a x)) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow x 5)) 0) into (* 1/120 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/120 in x * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) 0) into (* 1/720 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/720 in x * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* x a) 3)) (+ (* 1/2 (sqr (* x a))) (* 1 (* x a)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (exp (* a x)) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* a x)) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (exp (* a x)) 1)) into (cbrt (- (exp (* a x)) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* a x)) 1)) in a * [misc]backup-simplify: Simplify (cbrt (- (exp (* a x)) 1)) into (cbrt (- (exp (* a x)) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* a x)) 1)) in a * [misc]backup-simplify: Simplify (cbrt (- (exp (* a x)) 1)) into (cbrt (- (exp (* a x)) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* a x)) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (exp (* a x)) 1)) into (cbrt (- (exp (* a x)) 1)) * [misc]backup-simplify: Simplify (cbrt (- (exp (* a x)) 1)) into (cbrt (- (exp (* a x)) 1)) * [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 (cbrt (- (exp (* a x)) 1)) into (cbrt (- (exp (* a x)) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [misc]backup-simplify: Simplify (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1)) in a * [misc]backup-simplify: Simplify (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (/ 1 (* a x))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (exp (/ 1 (* a x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (cbrt (- (exp (/ 1 (* a x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [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 (cbrt (- (exp (/ 1 (* a x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [misc]backup-simplify: Simplify (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) in a * [misc]backup-simplify: Simplify (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (exp (/ 1 (* a x))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (exp (/ 1 (* a x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (cbrt (- (exp (/ 1 (* a x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * [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 (cbrt (- (exp (/ 1 (* a x))) 1)) into (cbrt (- (exp (/ 1 (* a x))) 1)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (exp (* a x)) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* a x)) 1))) in x * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* a x)) 1))) into (- (exp (* a x)) 1) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* a x)) 1))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* a x)) 1))) into (- (exp (* a x)) 1) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* a x)) 1))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* a x)) 1))) into (- (exp (* a x)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 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 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify a into a * [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 (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (sqr a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr a)) 0) into (* 1/2 (sqr a)) * [misc]backup-simplify: Simplify (* 1/2 (sqr a)) into (* 1/2 (sqr a)) * [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 (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 3) 6)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow a 3)) 0) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (* 1/6 (pow a 3)) into (* 1/6 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (pow a 3)) (pow (* x 1) 3)) (+ (* (* 1/2 (sqr a)) (sqr (* x 1))) (* a (* x 1)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1))) in x * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* (/ 1 a) (/ 1 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]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]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]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 (cube (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in x * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (cube (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]backup-simplify: Simplify (cube (cbrt (- (exp (* (/ 1 (- a)) (/ 1 (- 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]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]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]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 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (+ (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) (* a x)) * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (exp (/ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (exp (/ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (exp (/ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (exp (/ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (sqr a) (sqr x))) (* a x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (+ (* 1/6 (* (cube a) (cube x))) (+ (* a x) (* (* a x) (* (* a x) 1/2)))) * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ 1 (* x a))) 1) * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 46 ] 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: [ 12 / 46 ] 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: [ 13 / 46 ] 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: [ 14 / 46 ] 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: [ 15 / 46 ] 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: [ 16 / 46 ] 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 (35 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ (+ (pow (exp a) (+ x x)) 1) (exp (* x a))) * [exit]simplify: Simplified to (+ (+ (pow (exp a) (+ x x)) 1) (exp (* x a))) * * * * [misc]progress: [ 17 / 46 ] 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: [ 18 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (* a x))) (sqr 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [enter]simplify: Simplifying (- (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (log (cbrt (- (exp (* x a)) 1))) * * * * [misc]progress: [ 24 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (exp (cbrt (- (exp (* x a)) 1))) * * * * [misc]progress: [ 25 / 46 ] 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 (- (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: [ 26 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (cbrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (exp (* a x)) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (cbrt (- (cube (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (cube (exp (* x a))) 1)) * [enter]simplify: Simplifying (cbrt (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (* x a)) (+ (pow (exp a) (+ x x)) 1))) * [exit]simplify: Simplified to (cbrt (+ (exp (* x a)) (+ (pow (exp a) (+ x x)) 1))) * * * * [misc]progress: [ 28 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (exp (* a x))) (sqr 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * [enter]simplify: Simplifying (cbrt (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp (* x a)) 1)) * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (- (exp (* x a)) 1))) * * * * [misc]progress: [ 30 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (- (exp (* x a)) 1))) * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (exp (exp (* x a))) E) * [exit]simplify: Simplified to (/ (exp (exp (* x a))) E) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (+ (sqrt (exp (* x a))) 1) * [enter]simplify: Simplifying (cube (cbrt (- (sqrt (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (pow (exp (* a x)) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (+ 1 (+ (exp (* x a)) (pow (exp x) (+ a a)))) * [exit]simplify: Simplified to (+ 1 (+ (exp (* x a)) (pow (exp x) (+ a a)))) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [enter]simplify: Simplifying (cube (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * [exit]simplify: Simplified to (+ (exp (* x a)) 1) * * * * [misc]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* a x)) 1)) (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (* x a)) 1)) (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (* (cbrt (- (exp (* x a)) 1)) (cbrt (- (exp (* x a)) 1))) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (- (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) in x * [misc]taylor: Taking taylor expansion of (sqr a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))) in x * [misc]taylor: Taking taylor expansion of (* x (* 1/2 x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 x) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cube x) (* a 1/6)) 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 (* a 1/6) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [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 (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) 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]taylor: Taking taylor expansion of (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))) in a * [misc]taylor: Taking taylor expansion of (* x (* 1/2 x)) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* 1/2 x) 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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (cube x) (* a 1/6)) 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 (* a 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) 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]taylor: Taking taylor expansion of (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))) in a * [misc]taylor: Taking taylor expansion of (* x (* 1/2 x)) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* 1/2 x) 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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (cube x) (* a 1/6)) 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 (* a 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 x) into (* 1/2 x) * [misc]backup-simplify: Simplify (* x (* 1/2 x)) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (* 0 1/6) into 0 * [misc]backup-simplify: Simplify (* (cube x) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (* 0 (* 1/2 (sqr 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 (+ (* 1/2 0) (* 0 x)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 (* 1/2 x))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ (* (cube x) 1/6) (* 0 0)) into (* 1/6 (cube x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (cube x))) into (* 1/6 (cube x)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/6 (cube x))) (* 0 (* 1/2 (sqr x)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 (* 1/2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (+ (* 0 1/6) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 (* 1/6 (cube x))) (* 1 (* 1/2 (sqr x))))) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 a)) (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6)))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (* 1/2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (* 1/2 (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 a)) (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (* 1/2 (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1/6) into 1/6 * [misc]backup-simplify: Simplify (* (cube (/ 1 x)) 1/6) into (* 1/6 (cube (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (cube (/ 1 x)))) into (* 1/6 (cube (/ 1 x))) * [misc]backup-simplify: Simplify (* 1 (* 1/6 (cube (/ 1 x)))) into (* 1/6 (cube (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* 1/6 (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 x)) in x * [misc]backup-simplify: Simplify (cube (/ 1 x)) into (cube (/ 1 x)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1/2 x)) into (/ 1/2 (sqr x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqr x)) 0) into (* 1/2 (/ 1 (sqr x))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ 1 (sqr x)))) (* 0 (* 1/6 (cube (/ 1 x))))) into (* 1/2 (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr x))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1/2 x))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (sqr x)))) (* 0 (* 1/6 (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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 x))) into (* 1/6 (cube (/ 1 x))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 x))) into (* 1/6 (cube (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1/2 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr x)))) (* 0 (* 1/6 (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr x)))) (* 0 (* 1/6 (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr x)))) (* 0 (* 1/6 (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 x))) (pow (* 1 (/ 1 (/ 1 a))) 3)) (* 1/2 (sqr (* (/ 1 (/ 1 x)) (/ 1 (/ 1 a)))))) into (+ (* 1/6 (* (pow a 3) (cube (/ 1 x)))) (* 1/2 (* (sqr a) (sqr x)))) * [misc]approximate: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)))) in x * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sqr (/ 1 (- a))) (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1/6) into -1/6 * [misc]backup-simplify: Simplify (* (cube (/ -1 x)) -1/6) into (* -1/6 (cube (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 (* -1/6 (cube (/ -1 x)))) into (- (* 1/6 (cube (/ -1 x)))) * [misc]backup-simplify: Simplify (* 1 (- (* 1/6 (cube (/ -1 x))))) into (* -1/6 (cube (/ -1 x))) * [misc]taylor: Taking taylor expansion of (* -1/6 (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 x)) in x * [misc]backup-simplify: Simplify (cube (/ -1 x)) into (cube (/ -1 x)) * [misc]backup-simplify: Simplify (* 1/2 (/ -1 x)) into (/ -1/2 x) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1/2 x)) into (/ 1/2 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (* 0 -1/6)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqr x)) 0) into (* 1/2 (/ 1 (sqr x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (/ 1 (sqr x)))) (* 0 (- (* 1/6 (cube (/ -1 x)))))) into (* 1/2 (/ 1 (sqr x))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (sqr x))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (sqr x)) in x * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ -1 x))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1/2 x))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (+ (* 0 0) (* 0 -1/6))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (sqr x)))) (* 0 (- (* 1/6 (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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/6 (cube (/ -1 x))) into (* -1/6 (cube (/ -1 x))) * [misc]backup-simplify: Simplify (* -1/6 (cube (/ -1 x))) into (* -1/6 (cube (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1/2 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/6)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr x)))) (* 0 (- (* 1/6 (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 0) (* 0 (cube (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1/2 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/6))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr x)))) (* 0 (- (* 1/6 (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 (cube (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 x) (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))) (* 0 (/ 0 (- x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1/2 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/6)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (sqr x)))) (* 0 (- (* 1/6 (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 x))) (pow (* 1 (/ 1 (/ 1 (- a)))) 3)) (* 1/2 (sqr (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- a))))))) into (+ (* 1/6 (* (cube (/ -1 x)) (pow a 3))) (* 1/2 (* (sqr a) (sqr x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (* (cube x) (* a 1/6)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (cube x) (* a 1/6)) 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 (* a 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube x) (* a 1/6)) 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 (* a 1/6) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [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) (* a 1/6)) 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 (* a 1/6) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* a 1/6) into (* 1/6 a) * [misc]backup-simplify: Simplify (* (cube x) (* 1/6 a)) into (* 1/6 (* (cube x) a)) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube x) 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) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cube x) 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (* 0 (* 1/6 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 (+ (* (cube x) 1) (* 0 0)) into (cube x) * [misc]backup-simplify: Simplify (+ (* 1/6 (cube x)) (* 0 0)) into (* 1/6 (cube x)) * [misc]backup-simplify: Simplify (* 1/6 (cube x)) into (* 1/6 (cube x)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (+ (* 0 0) (* 0 (* 1/6 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 (+ (* (cube x) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 (cube x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/6 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/6 (cube x)) (* a 1)) into (* 1/6 (* (cube x) a)) * [misc]approximate: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* (/ 1 a) 1/6) into (/ 1/6 a) * [misc]backup-simplify: Simplify (* (cube (/ 1 x)) (/ 1/6 a)) into (* 1/6 (/ (cube (/ 1 x)) a)) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (cube (/ 1 x)) 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)) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (cube (/ 1 x)) 1) into (cube (/ 1 x)) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 x))) into (* 1/6 (cube (/ 1 x))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 x))) into (* 1/6 (cube (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (* 0 (/ 1/6 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cube (/ 1 x)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 x)))) 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 a) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ 1/6 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 1) (+ (* (cube (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (cube (/ 1 x))))) 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 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/6 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cube (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/6 (cube (/ 1 x))) (* (/ 1 (/ 1 a)) 1)) into (* 1/6 (* a (cube (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* (/ -1 a) 1/6) into (/ -1/6 a) * [misc]backup-simplify: Simplify (* (cube (/ -1 x)) (/ -1/6 a)) into (* -1/6 (/ (cube (/ -1 x)) a)) * [misc]taylor: Taking taylor expansion of (* -1/6 (/ (cube (/ -1 x)) 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)) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (cube (/ -1 x)) 1) into (cube (/ -1 x)) * [misc]backup-simplify: Simplify (* -1/6 (cube (/ -1 x))) into (* -1/6 (cube (/ -1 x))) * [misc]backup-simplify: Simplify (* -1/6 (cube (/ -1 x))) into (* -1/6 (cube (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (* 0 (/ -1/6 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cube (/ -1 x)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 0) (* 0 (cube (/ -1 x)))) 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 (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ -1/6 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 1) (+ (* (cube (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 0) (+ (* 0 0) (* 0 (cube (/ -1 x))))) 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 (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1/6 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (cube (/ -1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/6 (cube (/ -1 x))) (* (/ 1 (/ 1 (- a))) 1)) into (* 1/6 (* (cube (/ -1 x)) a)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))) in a * [misc]taylor: Taking taylor expansion of (* x (* 1/2 x)) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* 1/2 x) 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 x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (* (cube x) (* a 1/6)) 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 (* a 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))) in x * [misc]taylor: Taking taylor expansion of (* x (* 1/2 x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 x) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cube x) (* a 1/6)) 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 (* a 1/6) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))) in x * [misc]taylor: Taking taylor expansion of (* x (* 1/2 x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 x) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cube x) (* a 1/6)) 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 (* a 1/6) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a 1/6) into (* 1/6 a) * [misc]backup-simplify: Simplify (* (cube x) (* 1/6 a)) into (* 1/6 (* (cube x) a)) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (* (cube x) a))) into (* 1/6 (* (cube x) a)) * [misc]taylor: Taking taylor expansion of (* 1/6 (* (cube x) 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) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cube x) 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 1/2) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (* 0 (* 1/6 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 (+ (* (cube x) 1) (* 0 0)) into (cube x) * [misc]backup-simplify: Simplify (+ (* 1/6 (cube x)) (* 0 0)) into (* 1/6 (cube x)) * [misc]backup-simplify: Simplify (* 1/6 (cube x)) into (* 1/6 (cube x)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/2) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (+ (* 0 0) (* 0 (* 1/6 a)))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 (cube x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1/2) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/6 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube x) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 (cube x)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr (* 1 x))) (* (* 1/6 (cube x)) (* a 1))) into (+ (* 1/2 (sqr x)) (* 1/6 (* (cube x) a))) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (* 1/2 (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 x)) 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 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (* 1/2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 x) (* 1/2 (/ 1 x))) (* (cube (/ 1 x)) (* (/ 1 a) 1/6))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (* 1/2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 x)) (* (/ 1 a) 1/6)) 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 (* (/ 1 a) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) 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 1/2 into 1/2 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) 1/6) into (/ 1/6 a) * [misc]backup-simplify: Simplify (* (cube (/ 1 x)) (/ 1/6 a)) into (* 1/6 (/ (cube (/ 1 x)) a)) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (/ (cube (/ 1 x)) a))) into (* 1/6 (/ (cube (/ 1 x)) a)) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (cube (/ 1 x)) 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)) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (cube (/ 1 x)) 1) into (cube (/ 1 x)) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 x))) into (* 1/6 (cube (/ 1 x))) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ 1 x))) into (* 1/6 (cube (/ 1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 1/2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (* 0 (/ 1/6 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 1) (+ (* (cube (/ 1 x)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 1/2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ 1/6 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/6 (cube (/ 1 x))) (* (/ 1 (/ 1 a)) 1)) (* 1/2 (sqr (* 1 (/ 1 (/ 1 x)))))) into (+ (* 1/2 (sqr x)) (* 1/6 (* a (cube (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- x))) 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 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (* 1/2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- x))) (* (/ 1 (- a)) 1/6)) 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 (* (/ 1 (- a)) 1/6) 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 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 * [misc]backup-simplify: Simplify (* -1 -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 -1)) 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 -1/2)) 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 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 -1))) 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 -1/2))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) 1/6) into (/ -1/6 a) * [misc]backup-simplify: Simplify (* (cube (/ -1 x)) (/ -1/6 a)) into (* -1/6 (/ (cube (/ -1 x)) a)) * [misc]backup-simplify: Simplify (+ 0 (* -1/6 (/ (cube (/ -1 x)) a))) into (- (* 1/6 (/ (cube (/ -1 x)) a))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (/ (cube (/ -1 x)) a))) in a * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (cube (/ -1 x)) 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)) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (cube (/ -1 x)) 1) into (cube (/ -1 x)) * [misc]backup-simplify: Simplify (* 1/6 (cube (/ -1 x))) into (* 1/6 (cube (/ -1 x))) * [misc]backup-simplify: Simplify (- (* 1/6 (cube (/ -1 x)))) into (- (* 1/6 (cube (/ -1 x)))) * [misc]backup-simplify: Simplify (- (* 1/6 (cube (/ -1 x)))) into (- (* 1/6 (cube (/ -1 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) 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) 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 -1/2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (* 0 (/ -1/6 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 1) (+ (* (cube (/ -1 x)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (cube (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) 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 -1/2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify (+ (* (cube (/ -1 x)) 0) (+ (* 0 0) (* 0 (/ -1/6 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/6 (cube (/ -1 x)))) (* (/ 1 (/ 1 (- a))) 1)) (* 1/2 (sqr (* 1 (/ 1 (/ 1 (- x))))))) into (+ (* 1/6 (* (cube (/ -1 x)) a)) (* 1/2 (sqr x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (* a 1/6) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* a 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* a 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 0 1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/6)) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 a) into (* 1/6 a) * [misc]approximate: Taking taylor expansion of (* (/ 1 a) 1/6) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* 1 1/6) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/6 (/ 1 (/ 1 a))) into (* 1/6 a) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- a)) 1/6) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) 1/6) 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 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (* -1 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/6)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/6))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/6 (/ 1 (/ 1 (- a)))) into (* 1/6 a) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 0 (* a x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* 1/6 (* (pow a 3) (cube (/ 1 x)))) (* 1/2 (* (sqr a) (sqr x)))) (* a x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (+ (+ (* (sqr (* x a)) 1/2) (* x a)) (* 1/6 (/ (cube a) (cube x)))) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (* 1/6 (* (cube (/ -1 x)) (pow a 3))) (* 1/2 (* (sqr a) (sqr x)))) (* a x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (+ (* x a) (+ (/ (* (cube a) (- 1/6)) (cube x)) (* (sqr (* x a)) 1/2))) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* x (* 1/2 x)) (* 1/6 (* (cube x) a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* a 1/6) (cube x)) (* x (* x 1/2))) (* a a)) (* a x)) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* x (* 1/2 x)) (* 1/6 (* a (cube (/ 1 x)))))) (* a 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 (142 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (* a (+ (/ (* (* a 1/6) (/ a x)) (* x x)) (+ (* (* x x) (* 1/2 a)) x))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* x (* 1/2 x)) (* 1/6 (* (cube (/ -1 x)) a)))) (* a x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (* a (+ (+ x (* (* x x) (* 1/2 a))) (* (* (/ a x) (/ a x)) (/ (* 1/6 -1) x)))) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* 1/2 (sqr x)) (* 1/6 (* (cube x) a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (sqr x) (* x a)) (* 1/6 (* a a))) (* x a)) (* (* (* x a) (* x a)) 1/2)) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* 1/2 (sqr x)) (* 1/6 (* a (cube (/ 1 x)))))) (* a 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 (161 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (* a (+ (+ (* (sqr x) (* a 1/2)) x) (* a (/ (* a 1/6) (cube x))))) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* 1/6 (* (cube (/ -1 x)) a)) (* 1/2 (sqr x)))) (* a x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (* a (+ (+ (* (* 1/2 x) (* a x)) x) (* (* (/ a x) (/ a x)) (/ (* 1/6 -1) x)))) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* 1/6 a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ (* (* 1/6 a) x) 1/2)) (* a x)) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* 1/6 a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ (* (* 1/6 a) x) 1/2)) (* a x)) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* 1/6 a)))) (* a x)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (+ (* (* (* a x) (* a x)) (+ (* (* 1/6 a) x) 1/2)) (* a x)) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ (* (* 1/6 x) a) 1/2)) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ (* (* 1/6 x) a) 1/2)) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqr a)) (log (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (+ (log (+ (* x (* x 1/2)) (* (* a 1/6) (cube x)))) (+ (log a) (log a))) * [exit]simplify: Simplified to (+ (log (+ (* x (* x 1/2)) (* (* a 1/6) (cube x)))) (+ (log a) (log a))) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (log (* (+ (* (* 1/6 a) (cube x)) (* 1/2 (* x x))) (* a a))) * [exit]simplify: Simplified to (log (* (+ (* (* 1/6 a) (cube x)) (* 1/2 (* x x))) (* a a))) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (pow (exp (* a a)) (+ (* (* 1/6 a) (cube x)) (* x (* x 1/2)))) * [exit]simplify: Simplified to (pow (exp (* a a)) (+ (* (* 1/6 a) (cube x)) (* x (* x 1/2)))) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sqr a)) (cube (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (* (* (+ (* x (* x 1/2)) (* (* a 1/6) (cube x))) (* (cube a) (cube a))) (* (+ (* x (* x 1/2)) (* (* a 1/6) (cube x))) (+ (* x (* x 1/2)) (* (* a 1/6) (cube x))))) * [exit]simplify: Simplified to (* (* (+ (* x (* x 1/2)) (* (* a 1/6) (cube x))) (* (cube a) (cube a))) (* (+ (* x (* x 1/2)) (* (* a 1/6) (cube x))) (+ (* x (* x 1/2)) (* (* a 1/6) (cube x))))) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (cbrt (* (* (* a x) (* a x)) (+ 1/2 (* (* 1/6 a) x)))) * [exit]simplify: Simplified to (cbrt (* (* (* a x) (* a x)) (+ 1/2 (* (* 1/6 a) x)))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (cube (* (+ (* (* 1/6 a) (cube x)) (* 1/2 (* x x))) (* a a))) * [exit]simplify: Simplified to (cube (* (+ (* (* 1/6 a) (cube x)) (* 1/2 (* x x))) (* a a))) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqr a)) (cbrt (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (+ (* x (* x 1/2)) (* (* a 1/6) (cube x))))) * [exit]simplify: Simplified to (* (cbrt (* a a)) (cbrt (+ (* x (* x 1/2)) (* (* a 1/6) (cube x))))) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (sqrt (* (* (* a x) (* a x)) (+ 1/2 (* (* 1/6 a) x)))) * [exit]simplify: Simplified to (sqrt (* (* (* a x) (* a x)) (+ 1/2 (* (* 1/6 a) x)))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (sqrt (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* a (sqrt (+ (* (* 1/2 x) x) (* (cube x) (* a 1/6))))) * [exit]simplify: Simplified to (* a (sqrt (+ (* (* 1/2 x) x) (* (cube x) (* a 1/6))))) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (* x (* 1/2 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) 1/2) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) 1/2) * [enter]simplify: Simplifying (* (sqr a) (* (cube x) (* a 1/6))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (* (* a 1/6) a) (* (* a x) (* x x))) * [exit]simplify: Simplified to (* (* (* a 1/6) a) (* (* a x) (* x x))) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x (* 1/2 x)) (sqr a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (* (* x a) (* x a)) 1/2) * [exit]simplify: Simplified to (* (* (* x a) (* x a)) 1/2) * [enter]simplify: Simplifying (* (* (cube x) (* a 1/6)) (sqr a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (* a 1/6) (* (* a a) (cube x))) * [exit]simplify: Simplified to (* (* a 1/6) (* (* a a) (cube x))) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* a a) * [exit]simplify: Simplified to (* a a) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* a (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (* x a) x) (+ (* a (* 1/6 x)) 1/2)) * [exit]simplify: Simplified to (* (* (* x a) x) (+ (* a (* 1/6 x)) 1/2)) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ (* (* 1/6 x) a) 1/2)) * [exit]simplify: Simplified to (* (* (* a x) (* a x)) (+ (* (* 1/6 x) a) 1/2)) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (+ (pow (* x (* 1/2 x)) 3) (pow (* (cube x) (* a 1/6)) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (+ (cube (* (* 1/6 a) (cube x))) (cube (* x (* x 1/2)))) (* a a)) * [exit]simplify: Simplified to (* (+ (cube (* (* 1/6 a) (cube x))) (cube (* x (* x 1/2)))) (* a a)) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr a) (- (sqr (* x (* 1/2 x))) (sqr (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * [exit]simplify: Simplified to (* (- (* (* x (* x 1/2)) (* x (* x 1/2))) (* (* (* a 1/6) (cube x)) (* (* a 1/6) (cube x)))) (* a a)) * [exit]simplify: Simplified to (* (- (* (* x (* x 1/2)) (* x (* x 1/2))) (* (* (* a 1/6) (cube x)) (* (* a 1/6) (cube x)))) (* a a)) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube x) (* a 1/6)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (cube x) (* a 1/6)) * [exit]simplify: Simplified to (* (cube x) (* a 1/6)) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cube x)) (log (* a 1/6))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (log (cube x)) (log (* a 1/6))) * [exit]simplify: Simplified to (+ (log (cube x)) (log (* a 1/6))) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cube x) (* a 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (log (* (cube x) (* a 1/6))) * [exit]simplify: Simplified to (log (* (cube x) (* a 1/6))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cube x) (* a 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (exp (* (cube x) (* a 1/6))) * [exit]simplify: Simplified to (exp (* (cube x) (* a 1/6))) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (cube x)) (cube (* a 1/6))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cube (cube x)) (cube (* a 1/6))) * [exit]simplify: Simplified to (* (cube (cube x)) (cube (* a 1/6))) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cube x) (* a 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (* (cube x) (* a 1/6))) * [exit]simplify: Simplified to (cbrt (* (cube x) (* a 1/6))) * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cube x) (* a 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (cube (* (cube x) (* a 1/6))) * [exit]simplify: Simplified to (cube (* (cube x) (* a 1/6))) * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (cbrt (* a 1/6))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* x (cbrt (* 1/6 a))) * [exit]simplify: Simplified to (* x (cbrt (* 1/6 a))) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cube x) (* a 1/6))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (sqrt (* (cube x) (* a 1/6))) * [exit]simplify: Simplified to (sqrt (* (cube x) (* a 1/6))) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cube x)) (sqrt (* a 1/6))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (cube x)) (sqrt (* a 1/6))) * [exit]simplify: Simplified to (* (sqrt (cube x)) (sqrt (* a 1/6))) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube x) a) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* a (cube x)) * [exit]simplify: Simplified to (* a (cube x)) * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) (* a 1/6)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* x x) (* a 1/6)) * [exit]simplify: Simplified to (* (* x x) (* a 1/6)) * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube x) (* a 1/6)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (cube x) (* a 1/6)) * [exit]simplify: Simplified to (* (cube x) (* a 1/6)) * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* x (* 1/2 x))) (exp (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (exp (+ (* x (* 1/2 x)) (* (* 1/6 a) (cube x)))) * [exit]simplify: Simplified to (exp (+ (* x (* 1/2 x)) (* (* 1/6 a) (cube x)))) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * [exit]simplify: Simplified to (log (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (exp (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * [exit]simplify: Simplified to (exp (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * [exit]simplify: Simplified to (cbrt (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (316 enodes) * [exit]simplify: Simplified to (cube (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * [exit]simplify: Simplified to (cube (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* x (* 1/2 x)) (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * [exit]simplify: Simplified to (sqrt (+ (* (* 1/6 a) (cube x)) (* x (* 1/2 x)))) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* x (* 1/2 x)) 3) (pow (* (cube x) (* a 1/6)) 3)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (+ (cube (* (cube x) (* 1/6 a))) (cube (* x (* 1/2 x)))) * [exit]simplify: Simplified to (+ (cube (* (cube x) (* 1/6 a))) (cube (* x (* 1/2 x)))) * [enter]simplify: Simplifying (+ (sqr (* x (* 1/2 x))) (- (sqr (* (cube x) (* a 1/6))) (* (* x (* 1/2 x)) (* (cube x) (* a 1/6))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (- (sqr (* (* 1/6 a) (cube x))) (* (* x (* 1/2 x)) (- (* (* 1/6 a) (cube x)) (* x (* 1/2 x))))) * [exit]simplify: Simplified to (- (sqr (* (* 1/6 a) (cube x))) (* (* x (* 1/2 x)) (- (* (* 1/6 a) (cube x)) (* x (* 1/2 x))))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* x (* 1/2 x))) (sqr (* (cube x) (* a 1/6)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (* (- (* x (* 1/2 x)) (* (* 1/6 a) (cube x))) (+ (* x (* 1/2 x)) (* (* 1/6 a) (cube x)))) * [exit]simplify: Simplified to (* (- (* x (* 1/2 x)) (* (* 1/6 a) (cube x))) (+ (* x (* 1/2 x)) (* (* 1/6 a) (cube x)))) * [enter]simplify: Simplifying (- (* x (* 1/2 x)) (* (cube x) (* a 1/6))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (* (* x x) 1/2) (* (* 1/6 a) (cube x))) * [exit]simplify: Simplified to (- (* (* x x) 1/2) (* (* 1/6 a) (cube x))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* a 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 1/6 a)) * [exit]simplify: Simplified to (log (* 1/6 a)) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* a 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/6 a)) * [exit]simplify: Simplified to (exp (* 1/6 a)) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* a 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/6 a)) * [exit]simplify: Simplified to (cbrt (* 1/6 a)) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* a 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cube (* 1/6 a)) * [exit]simplify: Simplified to (cube (* 1/6 a)) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* a 1/6)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/6 a)) * [exit]simplify: Simplified to (sqrt (* 1/6 a)) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* a x) -3.4479820948686526e-05) #s(sp 1 (* a x) +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 (* a x) -3.4479820948686526e-05))) * [misc]splitpoints: intervals are: ((#s(sp 0 (* a x) -3.4479820948686526e-05) . #s(sp 1 (* a x) +inf.0))) * [enter]simplify: Simplifying (exp (exp (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (exp (* a x))) * [exit]simplify: Simplified to (exp (exp (* a x))) * [enter]simplify: Simplifying (cbrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [enter]simplify: Simplifying (* (* x a) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* x (* a x)) * [exit]simplify: Simplified to (* x (* a x)) * [enter]simplify: Simplifying (+ (* a (* 1/6 x)) 1/2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (+ (* (* 1/6 a) x) 1/2) * [exit]simplify: Simplified to (+ (* (* 1/6 a) x) 1/2) * [enter]simplify: Simplifying (cbrt (+ (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (+ (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (cbrt (- (sqrt (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [exit]simplify: Simplified to (cbrt (- (sqrt (exp (* x a))) 1)) * [enter]simplify: Simplifying (* (* x a) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (* x (* a x)) * [exit]simplify: Simplified to (* x (* a x)) * [enter]simplify: Simplifying (+ (* a (* 1/6 x)) 1/2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (+ (* (* 1/6 a) x) 1/2) * [exit]simplify: Simplified to (+ (* (* 1/6 a) x) 1/2) * [enter]simplify: Simplifying (cbrt (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (- (exp (* x a)) 1))) * [enter]simplify: Simplifying (+ (+ (* (sqr x) (* a 1/2)) x) (* a (/ (* a 1/6) (cube x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (+ (* (* 1/6 (/ a x)) (/ (/ a x) x)) (+ x (* (* x x) (* a 1/2)))) * [exit]simplify: Simplified to (+ (* (* 1/6 (/ a x)) (/ (/ a x) x)) (+ x (* (* x x) (* a 1/2)))) * [enter]simplify: Simplifying (cbrt (- (sqr (exp (* a x))) (sqr 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * [enter]simplify: Simplifying (cbrt (+ (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (+ (exp (* x a)) 1))