* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (exp (* a x)) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow x 5)) 0) into (* 1/120 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/120 in x * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) 0) into (* 1/720 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/720 in x * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* x a) 3)) (+ (* 1/2 (sqr (* x a))) (* 1 (* x a)))) into (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr (* x a))) (+ (* 1 (* x a)) 1)) into (+ (* 1/2 (* (sqr a) (sqr x))) (+ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) * * * * [misc]progress: [ 2 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ (/ 1 a) x)) 1) * * * * [misc]progress: [ 3 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ (/ 1 a) x)) 1) * * * * [misc]progress: [ 4 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (sqr a) (sqr x))) (+ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (+ (* (* 1/2 (* x a)) (* x a)) (* x a)) * * * * [misc]progress: [ 5 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ (/ 1 a) x)) 1) * * * * [misc]progress: [ 6 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ (/ 1 a) x)) 1) * * * * [misc]progress: [ 7 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * * * * [misc]progress: [ 9 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (exp (- (exp (* x a)) 1)) * * * * [misc]progress: [ 10 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 11 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * * * * [misc]progress: [ 12 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 13 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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: [ 14 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* a x)) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) (+ 1 (pow (exp a) (+ x x)))) * [exit]simplify: Simplified to (+ (exp (* x a)) (+ 1 (pow (exp a) (+ x x)))) * * * * [misc]progress: [ 16 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (* a x))) (sqr 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * * * * [misc]progress: [ 17 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [enter]simplify: Simplifying (- (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 18 / 25 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (exp a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp a) * [exit]simplify: Simplified to (exp a) * * * * [misc]progress: [ 20 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* x a) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 21 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (exp (* x a))) * [exit]simplify: Simplified to (exp (exp (* x a))) * * * * [misc]progress: [ 22 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (exp (* x a))) * [exit]simplify: Simplified to (cbrt (exp (* x a))) * * * * [misc]progress: [ 23 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cube (exp (* x a))) * [exit]simplify: Simplified to (cube (exp (* x a))) * * * * [misc]progress: [ 24 / 25 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * * * * [misc]progress: [ 25 / 25 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (exp (* a x)) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* a x)) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr x)) 0) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) 0) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) 0) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow x 5)) 0) into (* 1/120 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 1/120 in x * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow x 5) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) 0) into (* 1/720 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 1/720 in x * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* x a) 3)) (+ (* 1/2 (sqr (* x a))) (* 1 (* x a)))) into (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 a) (/ 1 x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * * * * [misc]progress: [ 2 / 4 ] 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 / 4 ] 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 (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* 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: [ 4 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (exp (* a x)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 1/6 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 1/6 in x * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow x 3) in x * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 1/24 in x * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow x 4) in x * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (+ (* 0 0) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (sqr (* x a))) (+ (* 1 (* x a)) 1)) into (+ (* 1/2 (* (sqr a) (sqr x))) (+ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]approximate: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* 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 (121 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (+ (+ (* x a) (* 1/2 (sqr (* x a)))) (* (* (cube x) (* a 1/6)) (* a a))) * * * * [misc]progress: [ 2 / 57 ] 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 a) x)) 1) * * * * [misc]progress: [ 3 / 57 ] 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 a) x)) 1) * * * * [misc]progress: [ 4 / 57 ] 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 / 57 ] 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 a) x)) 1) * * * * [misc]progress: [ 6 / 57 ] 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 a) x)) 1) * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* (sqr a) (sqr x))) (+ (* 1/6 (* (pow a 3) (pow x 3))) (* a x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (+ (* 1/2 (sqr (* x a))) (+ (* x a) (* (* 1/6 (cube a)) (cube x)))) * * * * [misc]progress: [ 8 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ (/ 1 a) x)) 1) * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ 1 (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (exp (/ (/ 1 a) x)) 1) * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (+ (* 1/2 (* (sqr a) (sqr x))) (+ 1 (* a x))) 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (+ (* x a) (* 1/2 (sqr (* x a)))) * * * * [misc]progress: [ 11 / 57 ] 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 a) x)) 1) * * * * [misc]progress: [ 12 / 57 ] 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 a) x)) 1) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (exp (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (exp (- (exp (* x a)) 1)) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 17 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * * * * [misc]progress: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * * * * [misc]progress: [ 19 / 57 ] 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: [ 20 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* a x)) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (+ (sqr (exp (* a x))) (+ (sqr 1) (* (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (exp (* x a)) (+ 1 (pow (exp a) (+ x x)))) * [exit]simplify: Simplified to (+ (exp (* x a)) (+ 1 (pow (exp a) (+ x x)))) * * * * [misc]progress: [ 22 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (* a x))) (sqr 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [enter]simplify: Simplifying (- (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 57 ] 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: [ 27 / 57 ] 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: [ 28 / 57 ] 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: [ 29 / 57 ] 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 (+ 1 (sqrt (exp (* x a))))) * [exit]simplify: Simplified to (cbrt (+ 1 (sqrt (exp (* x a))))) * [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: [ 30 / 57 ] 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 (34 enodes) * * [misc]simplify: iters left: 1 (47 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 (40 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ 1 (exp (* x a))) (pow (exp x) (+ a a)))) * [exit]simplify: Simplified to (cbrt (+ (+ 1 (exp (* x a))) (pow (exp x) (+ a a)))) * * * * [misc]progress: [ 31 / 57 ] 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 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 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 (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (cbrt (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 32 / 57 ] 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: [ 33 / 57 ] 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: [ 34 / 57 ] 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: [ 35 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 57 ] 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) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (log (- (exp (* x a)) 1)) * * * * [misc]progress: [ 39 / 57 ] 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: [ 40 / 57 ] 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: [ 41 / 57 ] 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 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cube (- (exp (* x a)) 1)) * * * * [misc]progress: [ 42 / 57 ] 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: [ 43 / 57 ] 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 (+ 1 (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [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: [ 44 / 57 ] 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: [ 45 / 57 ] 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 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [exit]simplify: Simplified to (- (cube (exp (* x a))) 1) * [enter]simplify: Simplifying (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 (45 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 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: [ 46 / 57 ] 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 (32 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 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 (+ 1 (exp (* x a))) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * * * * [misc]progress: [ 47 / 57 ] 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 (sqr (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (sqr (cbrt (- (exp (* x a)) 1))) * * * * [misc]progress: [ 48 / 57 ] 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: [ 49 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp a) * [exit]simplify: Simplified to (exp a) * * * * [misc]progress: [ 52 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* x a) * [exit]simplify: Simplified to (* x a) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (exp (* x a))) * [exit]simplify: Simplified to (exp (exp (* x a))) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (exp (* x a))) * [exit]simplify: Simplified to (cbrt (exp (* x a))) * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cube (exp (* x a))) * [exit]simplify: Simplified to (cube (exp (* x a))) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* a x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * [exit]simplify: Simplified to (sqrt (exp (* x a))) * * * * [misc]progress: [ 57 / 57 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (- (sqr (exp (* a x))) (sqr 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* a x))) (sqr 1)) in x * [misc]taylor: Taking taylor expansion of (sqr (exp (* a x))) in x * [misc]taylor: Taking taylor expansion of (exp (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (sqr 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* a x))) (sqr 1)) in a * [misc]taylor: Taking taylor expansion of (sqr (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (sqr 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* a x))) (sqr 1)) in a * [misc]taylor: Taking taylor expansion of (sqr (exp (* a x))) in a * [misc]taylor: Taking taylor expansion of (exp (* a x)) in a * [misc]taylor: Taking taylor expansion of (* a x) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 0 x) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 x)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (sqr 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 (+ (* 1 x) (* x 1)) into (* 2 x) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 x) 0) into (* 2 x) * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (sqr x)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 (sqr x))) (+ (* x x) (* (* 1/2 (sqr x)) 1))) into (* 2 (sqr x)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 (sqr x)) 0) into (* 2 (sqr x)) * [misc]taylor: Taking taylor expansion of (* 2 (sqr x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 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 (* 2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 3) 6)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/6 (pow x 3))) (+ (* x (* 1/2 (sqr x))) (+ (* (* 1/2 (sqr x)) x) (* (* 1/6 (pow x 3)) 1)))) into (* 4/3 (pow x 3)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4/3 (pow x 3)) 0) into (* 4/3 (pow x 3)) * [misc]taylor: Taking taylor expansion of (* 4/3 (pow x 3)) in x * [misc]taylor: Taking taylor expansion of 4/3 in x * [misc]backup-simplify: Simplify 4/3 into 4/3 * [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 (+ (* 2 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 4) 24)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/24 (pow x 4))) (+ (* x (* 1/6 (pow x 3))) (+ (* (* 1/2 (sqr x)) (* 1/2 (sqr x))) (+ (* (* 1/6 (pow x 3)) x) (* (* 1/24 (pow x 4)) 1))))) into (* 2/3 (pow x 4)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow x 4)) 0) into (* 2/3 (pow x 4)) * [misc]taylor: Taking taylor expansion of (* 2/3 (pow x 4)) in x * [misc]taylor: Taking taylor expansion of 2/3 in x * [misc]backup-simplify: Simplify 2/3 into 2/3 * [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 (+ (* 2 1) (+ (* 0 0) (* 0 0))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 5) 120)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 2) 2)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/120 (pow x 5))) (+ (* x (* 1/24 (pow x 4))) (+ (* (* 1/2 (sqr x)) (* 1/6 (pow x 3))) (+ (* (* 1/6 (pow x 3)) (* 1/2 (sqr x))) (+ (* (* 1/24 (pow x 4)) x) (* (* 1/120 (pow x 5)) 1)))))) into (* 4/15 (pow x 5)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4/15 (pow x 5)) 0) into (* 4/15 (pow x 5)) * [misc]taylor: Taking taylor expansion of (* 4/15 (pow x 5)) in x * [misc]taylor: Taking taylor expansion of 4/15 in x * [misc]backup-simplify: Simplify 4/15 into 4/15 * [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 (+ (* 2 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 6) 720)) (* (/ (pow x 4) 24) (/ (pow 0 1) 1)) (* (/ (pow x 3) 6) (/ (pow 0 1) 1)) (* (/ (pow x 2) 2) (/ (pow 0 2) 2)) (* (/ (pow x 2) 2) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow x 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow x 6)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/720 (pow x 6))) (+ (* x (* 1/120 (pow x 5))) (+ (* (* 1/2 (sqr x)) (* 1/24 (pow x 4))) (+ (* (* 1/6 (pow x 3)) (* 1/6 (pow x 3))) (+ (* (* 1/24 (pow x 4)) (* 1/2 (sqr x))) (+ (* (* 1/120 (pow x 5)) x) (* (* 1/720 (pow x 6)) 1))))))) into (* 4/45 (pow x 6)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4/45 (pow x 6)) 0) into (* 4/45 (pow x 6)) * [misc]taylor: Taking taylor expansion of (* 4/45 (pow x 6)) in x * [misc]taylor: Taking taylor expansion of 4/45 in x * [misc]backup-simplify: Simplify 4/45 into 4/45 * [misc]taylor: Taking taylor expansion of (pow x 6) in x * [misc]backup-simplify: Simplify (* 4/3 1) into 4/3 * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (+ (* 4/3 (pow (* x a) 3)) (+ (* 2 (sqr (* x a))) (* 2 (* x a)))) into (+ (* 2 (* (sqr a) (sqr x))) (+ (* 4/3 (* (pow a 3) (pow x 3))) (* 2 (* a x)))) * [misc]approximate: Taking taylor expansion of (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1)) in x * [misc]taylor: Taking taylor expansion of (sqr (exp (* (/ 1 a) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (sqr 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1)) in a * [misc]taylor: Taking taylor expansion of (sqr (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (sqr 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1)) in a * [misc]taylor: Taking taylor expansion of (sqr (exp (* (/ 1 a) (/ 1 x)))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 a) (/ 1 x))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 x)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 a) (/ 1 x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (sqr 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (sqr (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqr (exp (/ 1 (* a x)))) -1) into (- (sqr (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqr (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqr (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (sqr (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqr (exp (/ 1 (* a x)))) -1) into (- (sqr (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqr (exp (/ 1 (* a x)))) 1) into (- (sqr (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (sqr (exp (/ 1 (* a x)))) 1) into (- (sqr (exp (/ 1 (* a x)))) 1) * [misc]approximate: Taking taylor expansion of (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1)) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1)) in x * [misc]taylor: Taking taylor expansion of (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (sqr 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1)) in a * [misc]taylor: Taking taylor expansion of (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (sqr 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1)) in a * [misc]taylor: Taking taylor expansion of (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) in a * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- a)) (/ 1 (- x)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* -1 (/ -1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- a)) (/ 1 (- x)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of (sqr 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (sqr (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqr (exp (/ 1 (* a x)))) -1) into (- (sqr (exp (/ 1 (* a x)))) 1) * [misc]taylor: Taking taylor expansion of (- (sqr (exp (/ 1 (* a x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqr (exp (/ 1 (* a x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (* a x)) in x * [misc]taylor: Taking taylor expansion of (* a x) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp (/ 1 (* a x))) (exp (/ 1 (* a x)))) into (sqr (exp (/ 1 (* a x)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (sqr (exp (/ 1 (* a x)))) -1) into (- (sqr (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (- (sqr (exp (/ 1 (* a x)))) 1) into (- (sqr (exp (/ 1 (* a x)))) 1) * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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))) 0) (* 0 (exp (/ 1 (* a x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 (* a x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 (* a x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (sqr (exp (/ 1 (* a x)))) 1) into (- (sqr (exp (/ 1 (* a x)))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) (sqr 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) (sqr 1))) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) (sqr 1))) into (cbrt (- (sqr (exp (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) (sqr 1))) into (cbrt (- (sqr (exp (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) (sqr 1))) into (cbrt (- (sqr (exp (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) 1)) into (cbrt (- (sqr (exp (* a x))) 1)) * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) 1)) into (cbrt (- (sqr (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 (- (sqr (exp (* a x))) 1)) into (cbrt (- (sqr (exp (* a x))) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) into (cbrt (- (sqr (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 (- (sqr (exp (/ 1 (* a x)))) 1)) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) into (cbrt (- (sqr (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 (- (sqr (exp (/ 1 (* a x)))) 1)) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) (sqr 1))) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) (sqr 1))) into (cbrt (- (sqr (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 (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) into (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) (sqr 1))) into (cbrt (- (sqr (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]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) into (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) (sqr 1))) into (cbrt (- (sqr (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]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) into (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* a x))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* a x))) 1)) into (cbrt (- (sqr (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 (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) into (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) into (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ (exp (* a x)) 1))) (+ (* (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) (/ 0 (cbrt (+ (exp (* a x)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ (exp (* a x)) 1))) (+ (* (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) (/ 0 (cbrt (+ (exp (* a x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ (exp (* a x)) 1))) (+ (* (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) (/ 0 (cbrt (+ (exp (* a x)) 1)))) (* 0 (/ 0 (cbrt (+ (exp (* a x)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ (exp (* a x)) 1))) (+ (* (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) (/ 0 (cbrt (+ (exp (* a x)) 1)))) (* 0 (/ 0 (cbrt (+ (exp (* a x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ (exp (* a x)) 1))) (+ (* (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) (/ 0 (cbrt (+ (exp (* a x)) 1)))) (* 0 (/ 0 (cbrt (+ (exp (* a x)) 1)))) (* 0 (/ 0 (cbrt (+ (exp (* a x)) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) into (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [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 (+ 1 (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) into (cbrt (- (sqr (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 (+ 1 (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) into (cbrt (- (sqr (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 (+ 1 (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (exp (/ 1 (* a x))))) in x * [misc]backup-simplify: Simplify (cbrt (+ 1 (exp (/ 1 (* a x))))) into (cbrt (+ 1 (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a 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 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))) (* 0 (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))) (* 0 (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))) (* 0 (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))) (* 0 (/ 0 (cbrt (+ 1 (exp (/ 1 (* a 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 (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [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 (+ 1 (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) into (cbrt (- (sqr (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 (+ 1 (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1))) in a * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) in a * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) into (cbrt (- (sqr (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 (+ 1 (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) in x * [misc]backup-simplify: Simplify (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) into (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (+ 1 (exp (/ 1 (* a x))))) in x * [misc]backup-simplify: Simplify (cbrt (+ 1 (exp (/ 1 (* a x))))) into (cbrt (+ 1 (exp (/ 1 (* a x))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]backup-simplify: Simplify (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a 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 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))) (* 0 (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))) (* 0 (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x)))))) (+ (* (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))) (* 0 (/ 0 (cbrt (+ 1 (exp (/ 1 (* a x))))))) (* 0 (/ 0 (cbrt (+ 1 (exp (/ 1 (* a 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 (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) into (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) into (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) into (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) into (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) into (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) into (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (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 (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) into (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1)))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1)))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1)))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1)))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1)))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* (/ 1 a) (/ 1 x)))) (sqr 1))) (cbrt (+ (exp (* (/ 1 a) (/ 1 x))) 1)))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in (a x) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (* (/ 1 (- a)) (/ 1 (- x))))) (sqr 1))) (cbrt (+ (exp (* (/ 1 (- a)) (/ 1 (- x)))) 1)))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) in x * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) into (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (* 2 (* (sqr a) (sqr x))) (+ (* 4/3 (* (pow a 3) (pow x 3))) (* 2 (* a x))))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 (+ (* x a) (sqr (* x a)))) (* (* (cube x) (* a 4/3)) (* a a))) (+ (exp (* x a)) 1)) * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (- (* (exp (/ (/ 1 a) x)) (exp (/ (/ 1 a) x))) 1) (+ 1 (exp (* a x)))) * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (- (* (exp (/ (/ 1 a) x)) (exp (/ (/ 1 a) x))) 1) (+ 1 (exp (* a x)))) * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (- (* (exp (/ (/ 1 a) x)) (exp (/ (/ 1 a) x))) 1) (+ 1 (exp (* a x)))) * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (- (* (exp (/ (/ 1 a) x)) (exp (/ (/ 1 a) x))) 1) (+ 1 (exp (* a x)))) * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* 1 (/ (- (exp (/ (/ 1 a) x)) 1) 1)) * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* 1 (/ (- (exp (/ (/ 1 a) x)) 1) 1)) * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* 1 (/ (- (exp (/ (/ 1 a) x)) 1) 1)) * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (/ 1 (* a x)))) 1)) (cbrt (+ 1 (exp (/ 1 (* a x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* 1 (/ (- (exp (/ (/ 1 a) x)) 1) 1)) * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqr (exp (* a x)))) (exp (sqr 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (exp (- (pow (exp a) (+ x x)) 1)) * [exit]simplify: Simplified to (exp (- (pow (exp a) (+ x x)) 1)) * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (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 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (- (pow (exp a) (+ x x)) 1)) * [exit]simplify: Simplified to (log (- (pow (exp a) (+ x x)) 1)) * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqr (exp (* a x))) (sqr 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (exp (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (exp (- (pow (exp x) (+ a a)) 1)) * * * * [misc]progress: [ 17 / 99 ] 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 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr (exp (* a x))) (sqr 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (cube (- (pow (exp a) (+ x x)) 1)) * [exit]simplify: Simplified to (cube (- (pow (exp a) (+ x x)) 1)) * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (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 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (sqrt (- (pow (exp x) (+ a a)) 1)) * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr (exp (* a x))) 3) (pow (sqr 1) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (- (cube (pow (exp x) (+ a a))) 1) * [exit]simplify: Simplified to (- (cube (pow (exp x) (+ a a))) 1) * [enter]simplify: Simplifying (+ (sqr (sqr (exp (* a x)))) (+ (sqr (sqr 1)) (* (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (+ (exp (* (+ a a) (+ x x))) (+ (pow (exp a) (+ x x)) 1)) * [exit]simplify: Simplified to (+ (exp (* (+ a a) (+ x x))) (+ (pow (exp a) (+ x x)) 1)) * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr (exp (* a x)))) (sqr (sqr 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (exp (* (+ x x) (+ a a))) 1) * [exit]simplify: Simplified to (- (exp (* (+ x x) (+ a a))) 1) * [enter]simplify: Simplifying (+ (sqr (exp (* a x))) (sqr 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (+ (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (+ (pow (exp a) (+ x x)) 1) * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * [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) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (* a x))) (sqr 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * [exit]simplify: Simplified to (- (pow (exp a) (+ x x)) 1) * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (log (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (log (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (exp (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 31 / 99 ] 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 (- (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 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * [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 (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (cbrt (+ 1 (exp (* x a)))) * [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: [ 33 / 99 ] 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 (- (sqr (exp (* a x))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * * * * [misc]progress: [ 34 / 99 ] 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 (- (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 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * [exit]simplify: Simplified to (cbrt (- (pow (exp x) (+ a a)) 1)) * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (sqr (exp (* a x))) 3) (pow (sqr 1) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (cbrt (- (cube (pow (exp a) (+ x x))) 1)) * [exit]simplify: Simplified to (cbrt (- (cube (pow (exp a) (+ x x))) 1)) * [enter]simplify: Simplifying (cbrt (+ (sqr (sqr (exp (* a x)))) (+ (sqr (sqr 1)) (* (sqr (exp (* a x))) (sqr 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp (* (+ x x) (+ a a))) (+ (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (cbrt (+ (exp (* (+ x x) (+ a a))) (+ (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (sqr (exp (* a x)))) (sqr (sqr 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* (+ x x) (+ a a))) 1)) * [exit]simplify: Simplified to (cbrt (- (exp (* (+ x x) (+ a a))) 1)) * [enter]simplify: Simplifying (cbrt (+ (sqr (exp (* a x))) (sqr 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (exp a) (+ x x)) 1)) * [exit]simplify: Simplified to (cbrt (+ (pow (exp a) (+ x x)) 1)) * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (cbrt (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 38 / 99 ] 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 (32 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (- (sqr (exp (* a x))) (sqr 1)))) (log (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (log (cbrt (- (pow (exp a) (+ x x)) 1))) (log (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (- (log (cbrt (- (pow (exp a) (+ x x)) 1))) (log (cbrt (+ 1 (exp (* x a)))))) * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (log (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ 1 (exp (* x a)))))) * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (exp (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (exp (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a)))))) * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * [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 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a)))))) * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (sqr (exp (* a x))) (sqr 1)))) (cbrt (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (pow (exp a) (+ x x)) 1))) (cbrt (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (pow (exp a) (+ x x)) 1))) (cbrt (cbrt (+ 1 (exp (* x a)))))) * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a)))))) * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (sqr (exp (* a x))) (sqr 1)))) (sqrt (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (pow (exp a) (+ x x)) 1))) (sqrt (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (pow (exp a) (+ x x)) 1))) (sqrt (cbrt (+ 1 (exp (* x a)))))) * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 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 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (- (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (- (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt 1) 1) * [exit]simplify: Simplified to (/ (cbrt 1) 1) * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* a x)) 1)) (cbrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt 1)) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt 1)) * [enter]simplify: Simplifying (/ (cbrt (- (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (* x a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (exp (* x a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* a x)) 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) 1) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) 1) * [enter]simplify: Simplifying (/ (cbrt (- (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (exp (* x a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (exp (* x a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt 1) 1) * [exit]simplify: Simplified to (/ (cbrt 1) 1) * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt 1) 1) * [exit]simplify: Simplified to (/ (cbrt 1) 1) * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 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 * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (+ (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (+ (exp (* a x)) 1))) * [exit]simplify: Simplified to (/ 1 (cbrt (+ (exp (* a x)) 1))) * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* a x)) 1)) (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt 1)) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt 1)) * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) 1) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) 1) * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* a x)) 1)) (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* a x)) 1)) (cbrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (exp (* x a)) 1))) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (exp (* x a)) 1))) * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* a x)) 1)) (cbrt (- (sqr (exp (* a x))) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* a x)) 1)) (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* a x)) 1)) (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * [exit]simplify: Simplified to (/ (cbrt (+ 1 (exp (* x a)))) (cbrt (- (pow (exp x) (+ a a)) 1))) * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (- (pow (exp (* a x)) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (- (cube (exp (* x a))) 1))) * [exit]simplify: Simplified to (/ (cbrt (- (pow (exp x) (+ a a)) 1)) (cbrt (- (cube (exp (* x a))) 1))) * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (- (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (sqr (sqr (exp (* a x)))) (+ (sqr (sqr 1)) (* (sqr (exp (* a x))) (sqr 1)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp (* x a)))) (cbrt (+ (exp (* (+ x x) (+ a a))) (+ (pow (exp x) (+ a a)) 1)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp (* x a)))) (cbrt (+ (exp (* (+ x x) (+ a a))) (+ (pow (exp x) (+ a a)) 1)))) * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (exp (* a x)) 1)) (cbrt (+ (sqr (exp (* a x))) (sqr 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp (* x a)))) (cbrt (+ 1 (pow (exp x) (+ a a))))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (exp (* x a)))) (cbrt (+ 1 (pow (exp x) (+ a a))))) * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (log (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (log (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (pow (exp 1) (/ (- (exp (* x a)) 1) 1)) * [exit]simplify: Simplified to (pow (exp 1) (/ (- (exp (* x a)) 1) 1)) * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (cbrt (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (cube (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (cube (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt 1) (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 84 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (exp (* a x)) 1)) (cbrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp (* x a))) 1) * [exit]simplify: Simplified to (/ (+ 1 (exp (* x a))) 1) * [enter]simplify: Simplifying (cube (/ (cbrt (- (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (- (exp (* x a)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (exp (* x a)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (+ (exp (* a x)) 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (+ 1 (exp (* x a))) 1) * [exit]simplify: Simplified to (/ (+ 1 (exp (* x a))) 1) * [enter]simplify: Simplifying (cube (/ (cbrt (- (exp (* a x)) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (- (exp (* x a)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (exp (* x a)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt 1) (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) 1)) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt 1) (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 92 / 99 ] 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 (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * [exit]simplify: Simplified to (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a)))) * * * * [misc]progress: [ 93 / 99 ] 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 (32 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [enter]simplify: Simplifying (cube (/ 1 (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ 1 (+ (exp (* a x)) 1)) * [exit]simplify: Simplified to (/ 1 (+ (exp (* a x)) 1)) * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (- (pow (exp (* a x)) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (- (cube (exp (* x a))) 1)) * [exit]simplify: Simplified to (/ (- (pow (exp x) (+ a a)) 1) (- (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 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 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: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (- (sqr (exp (* a x))) (sqr 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 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: [ 96 / 99 ] 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 (32 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 1) * [exit]simplify: Simplified to (- (pow (exp x) (+ a a)) 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 (+ 1 (exp (* x a))) * [exit]simplify: Simplified to (+ 1 (exp (* x a))) * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))) (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (sqr (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (sqr (/ (cbrt (- (pow (exp a) (+ x x)) 1)) (cbrt (+ 1 (exp (* x a)))))) * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt (- (sqr (exp (* a x))) (sqr 1))) (cbrt (+ (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a))))) * [exit]simplify: Simplified to (sqrt (/ (- (pow (exp a) (+ x x)) 1) (+ 1 (exp (* x a))))) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (cbrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (cbrt (- (exp (* x a)) 1)) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- (sqr (exp (* a x))) (sqr 1)))) (cbrt (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (pow (exp a) (+ x x)) 1))) (cbrt (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (pow (exp a) (+ x x)) 1))) (cbrt (cbrt (+ 1 (exp (* x a)))))) * [enter]simplify: Simplifying (- (exp (* a x)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (exp (* x a)) 1) * [enter]simplify: Simplifying (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)) * [enter]simplify: Simplifying (sqrt (- (exp (* a x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [exit]simplify: Simplified to (sqrt (- (exp (* x a)) 1)) * [enter]simplify: Simplifying (* (* 1/2 (* x a)) (* x a)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (* (* x a) (* x a)) 1/2) * [exit]simplify: Simplified to (* (* (* x a) (* x a)) 1/2) * [enter]simplify: Simplifying (* x a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * [enter]simplify: Simplifying (+ (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [exit]simplify: Simplified to (+ 1 (sqrt (exp (* x a)))) * [enter]simplify: Simplifying (- (sqrt (exp (* a x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [exit]simplify: Simplified to (- (sqrt (exp (* x a))) 1) * [enter]simplify: Simplifying (* 1/2 (sqr (* x a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* 1/2 (* (* x a) (* x a))) * [exit]simplify: Simplified to (* 1/2 (* (* x a) (* x a))) * [enter]simplify: Simplifying (+ (* x a) (* (* 1/6 (cube a)) (cube x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (+ (* a x) (* (cube x) (* (* a a) (* 1/6 a)))) * [exit]simplify: Simplified to (+ (* a x) (* (cube x) (* (* a a) (* 1/6 a)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- (sqr (exp (* a x))) (sqr 1)))) (sqrt (cbrt (+ (exp (* a x)) 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (pow (exp a) (+ x x)) 1))) (sqrt (cbrt (+ 1 (exp (* x a)))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (pow (exp a) (+ x x)) 1))) (sqrt (cbrt (+ 1 (exp (* x a))))))