* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [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 (expm1 (* x a)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (expm1 (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) 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 (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (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 (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [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 a)))) 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]taylor: Taking taylor expansion of (* 1/6 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow a 4)) 0) into (* 1/24 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 1/24 in a * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 5) 120)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 2) 2)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow a 5)) 0) into (* 1/120 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of 1/120 in a * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 6) 720)) (* (/ (pow a 4) 24) (/ (pow 0 1) 1)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 2) 2)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow a 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 a 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow a 6)) 0) into (* 1/720 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 1/720 in a * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [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 (* a x) 3)) (+ (* 1/2 (pow (* a x) 2)) (* 1 (* a x)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (* x a)) (expm1 (* x a))) (expm1 (* x a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (fma (* a a) (fma (* (* 1/6 x) (* x x)) a (* 1/2 (* x x))) (* a x)) * * * * [misc]progress: [ 13 / 14 ] 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 (expm1 (* x a)) * * * * [misc]progress: [ 14 / 14 ] 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 (expm1 (* x a)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* x a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 a) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (* +nan.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 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (+ (* +nan.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 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow a 4)) 0) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow a 4)) (pow (* +nan.0 (pow a 2)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.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 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 5) 120)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 2) 2)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow a 5)) 0) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow a 5)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 4)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 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 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 6) 720)) (* (/ (pow a 4) 24) (/ (pow 0 1) 1)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 2) 2)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow a 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 a 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow a 6)) 0) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow a 6)) (pow (* +nan.0 (pow a 3)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 5)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 4)))))) (* 2 0)) into (* +nan.0 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (* a x) 3)) (+ (* +nan.0 (pow (* a x) 2)) (* (- +nan.0) (* a x)))) into (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x))))))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1)) into (sqrt (- (exp (* a x)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1)) into (sqrt (- (exp (* a x)) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* x a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 a) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (* +nan.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 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (+ (* +nan.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 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow a 4)) 0) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow a 4)) (pow (* +nan.0 (pow a 2)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.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 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 5) 120)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 2) 2)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow a 5)) 0) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow a 5)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 4)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 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 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 6) 720)) (* (/ (pow a 4) 24) (/ (pow 0 1) 1)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 2) 2)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow a 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 a 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow a 6)) 0) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow a 6)) (pow (* +nan.0 (pow a 3)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 5)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 4)))))) (* 2 0)) into (* +nan.0 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (* a x) 3)) (+ (* +nan.0 (pow (* a x) 2)) (* (- +nan.0) (* a x)))) into (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x))))))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1)) into (sqrt (- (exp (* a x)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1)) into (sqrt (- (exp (* a x)) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 a)) (* (* +nan.0 a) 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow a 2))) (+ (* (* +nan.0 a) (* +nan.0 a)) (* (* +nan.0 (pow a 2)) 0))) into (- (* +nan.0 (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) 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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) 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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow a 3))) (+ (* (* +nan.0 a) (* +nan.0 (pow a 2))) (+ (* (* +nan.0 (pow a 2)) (* +nan.0 a)) (* (* +nan.0 (pow a 3)) 0)))) into (- (* +nan.0 (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (- (exp (/ 1 (* a x))) 1)) (sqrt (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (exp (/ 1 (* a x))) 1)) 0) (* 0 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (- (exp (/ 1 (* a x))) 1)) 0) (+ (* 0 0) (* 0 (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (- (exp (/ 1 (* a x))) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- (exp (/ 1 (* a x))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (- (exp (/ 1 (* a x))) 1)) (sqrt (- (exp (/ 1 (* a x))) 1))) into (- (exp (/ 1 (* a x))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (* a x))) 1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (+ (* (sqrt (- (exp (/ 1 (* a x))) 1)) 0) (* 0 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (- (exp (/ 1 (* a x))) 1)) 0) (+ (* 0 0) (* 0 (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (- (exp (/ 1 (* a x))) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (- (exp (/ 1 (* a x))) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (expm1 (* x a)) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) 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 (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (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 (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* 1/2 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [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 a)))) 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]taylor: Taking taylor expansion of (* 1/6 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of 1/6 in a * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow a 4)) 0) into (* 1/24 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of 1/24 in a * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 5) 120)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 2) 2)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow a 5)) 0) into (* 1/120 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* 1/120 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of 1/120 in a * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 6) 720)) (* (/ (pow a 4) 24) (/ (pow 0 1) 1)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 2) 2)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow a 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 a 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow a 6)) 0) into (* 1/720 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* 1/720 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of 1/720 in a * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [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 (* a x) 3)) (+ (* 1/2 (pow (* a x) 2)) (* 1 (* a x)))) into (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x))) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1) into (- (exp (* a x)) 1) * [misc]approximate: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (- (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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1) into (- (exp (* a x)) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (expm1 (* x a)))) (cbrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (expm1 (* x a)))) (cbrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 (* x a)) (expm1 (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (expm1 (* a x))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (expm1 (* a x))) * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (expm1 (* x a)))) (log (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (expm1 (* a x)))) (log (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (+ (log (sqrt (expm1 (* a x)))) (log (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) (* (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) (cbrt (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 (* x a)) (expm1 (* x a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (expm1 (* a x))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (expm1 (* a x))) * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (sqrt (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (* (cbrt (sqrt (expm1 (* x a)))) (cbrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x)))))) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x)))))) * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (fabs (cbrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (sqrt 1)) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (sqrt 1)) * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (sqrt (cbrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (sqrt (cbrt (expm1 (* a x))))) * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* x a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* a x)) * [exit]simplify: Simplified to (exp (* a x)) * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * [exit]simplify: Simplified to (expm1 (expm1 (* a x))) * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* a x) * [exit]simplify: Simplified to (* a x) * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (expm1 (* a x))) * [exit]simplify: Simplified to (log (expm1 (* a x))) * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * [exit]simplify: Simplified to (exp (expm1 (* a x))) * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (cbrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * [exit]simplify: Simplified to (cbrt (expm1 (* a x))) * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (* x a)) (expm1 (* x a))) (expm1 (* x a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * [exit]simplify: Simplified to (pow (expm1 (* a x)) 3) * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x)))))))) * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x))))))) (sqrt (expm1 (* x a)))) * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (exp (* a x)) 1)) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (exp (* a x)) 1)) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 79 / 83 ] 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 (expm1 (* x a)) * * * * [misc]progress: [ 80 / 83 ] 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 (expm1 (* x a)) * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (+ (* 1/6 (* (pow a 3) (pow x 3))) (+ (* 1/2 (* (pow a 2) (pow x 2))) (* a x))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* a x))) (sqrt (fma (* x x) (fma 1/6 (* (* a x) (* a a)) (* 1/2 (* a a))) (* a x)))) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* x a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 a) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (* +nan.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 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (+ (* +nan.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 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow a 4)) 0) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow a 4)) (pow (* +nan.0 (pow a 2)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.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 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 5) 120)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 2) 2)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow a 5)) 0) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow a 5)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 4)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 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 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 6) 720)) (* (/ (pow a 4) 24) (/ (pow 0 1) 1)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 2) 2)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow a 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 a 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow a 6)) 0) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow a 6)) (pow (* +nan.0 (pow a 3)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 5)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 4)))))) (* 2 0)) into (* +nan.0 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (* a x) 3)) (+ (* +nan.0 (pow (* a x) 2)) (* (- +nan.0) (* a x)))) into (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x))))))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1)) into (sqrt (- (exp (* a x)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1)) into (sqrt (- (exp (* a x)) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* x a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 a) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (* +nan.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 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (+ (* +nan.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 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow a 4)) 0) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow a 4)) (pow (* +nan.0 (pow a 2)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.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 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 5) 120)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 2) 2)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow a 5)) 0) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow a 5)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 4)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 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 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 6) 720)) (* (/ (pow a 4) 24) (/ (pow 0 1) 1)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 2) 2)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow a 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 a 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow a 6)) 0) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow a 6)) (pow (* +nan.0 (pow a 3)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 5)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 4)))))) (* 2 0)) into (* +nan.0 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (* a x) 3)) (+ (* +nan.0 (pow (* a x) 2)) (* (- +nan.0) (* a x)))) into (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x))))))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1)) into (sqrt (- (exp (* a x)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1)) into (sqrt (- (exp (* a x)) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* x a))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 a) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (* +nan.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 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (+ (* +nan.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 a))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 4) 24)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow a 4)) 0) into (* 1/24 (pow a 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/24 (pow a 4)) (pow (* +nan.0 (pow a 2)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 4)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.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 a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 5) 120)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 2) 2)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/120 (pow a 5)) 0) into (* 1/120 (pow a 5)) * [misc]backup-simplify: Simplify (/ (- (* 1/120 (pow a 5)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 4)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 3)))))) (* 2 0)) into (* +nan.0 (pow a 5)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 5)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 5) in a * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 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 a))))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 6) 720)) (* (/ (pow a 4) 24) (/ (pow 0 1) 1)) (* (/ (pow a 3) 6) (/ (pow 0 1) 1)) (* (/ (pow a 2) 2) (/ (pow 0 2) 2)) (* (/ (pow a 2) 2) (/ (pow 0 1) 1)) (* (/ (pow a 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow a 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 a 6)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow a 6)) 0) into (* 1/720 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/720 (pow a 6)) (pow (* +nan.0 (pow a 3)) 2) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 5)))) (* 2 (* (* +nan.0 (pow a 2)) (* +nan.0 (pow a 4)))))) (* 2 0)) into (* +nan.0 (pow a 6)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 6)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 6) in a * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (* a x) 3)) (+ (* +nan.0 (pow (* a x) 2)) (* (- +nan.0) (* a x)))) into (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x))))))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1)) into (sqrt (- (exp (* a x)) 1)) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1)) into (sqrt (- (exp (* a x)) 1)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* x a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* +nan.0 x) (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* x a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in a * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in a * [misc]taylor: Taking taylor expansion of (* x a) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow x 1) 1)))) into x * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ x (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* +nan.0 x) (* 2 (sqrt 0))) into (* +nan.0 x) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* +nan.0 a) (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* +nan.0 a) (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* +nan.0 a) (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* x a)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* x a))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* x a)) in x * [misc]taylor: Rewrote expression to (- (exp (* x a)) 1) * [misc]taylor: Taking taylor expansion of (exp (* x a)) in x * [misc]taylor: Taking taylor expansion of (* x a) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 1) 1)))) into a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ a (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* +nan.0 a) (* 2 (sqrt 0))) into (* +nan.0 a) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 a)) (* (* +nan.0 a) 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow a 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow a 2)) 0) into (* 1/2 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow a 2)) (pow (* +nan.0 a) 2) (+)) (* 2 0)) into (* +nan.0 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow a 2))) (+ (* (* +nan.0 a) (* +nan.0 a)) (* (* +nan.0 (pow a 2)) 0))) into (- (* +nan.0 (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) 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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow a 3)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) 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)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow a 3)) (+ (* 2 (* (* +nan.0 a) (* +nan.0 (pow a 2)))))) (* 2 0)) into (* +nan.0 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (pow a 3))) (+ (* (* +nan.0 a) (* +nan.0 (pow a 2))) (+ (* (* +nan.0 (pow a 2)) (* +nan.0 a)) (* (* +nan.0 (pow a 3)) 0)))) into (- (* +nan.0 (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of +nan.0 in a * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a)))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 x) (/ 1 a))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 x) (/ 1 a)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 x) (/ 1 a))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 x) (/ 1 a))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 a)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 x) (/ 1 a))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (- (exp (/ 1 (* a x))) 1) 1/4) (pow (- (exp (/ 1 (* a x))) 1) 1/4)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (+ (* (pow (- (exp (/ 1 (* a x))) 1) 1/4) 0) (* 0 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (exp (/ 1 (* a x))) 1) 1/4) 0) (+ (* 0 0) (* 0 (pow (- (exp (/ 1 (* a x))) 1) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (exp (/ 1 (* a x))) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (exp (/ 1 (* a x))) 1) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 a) (/ 1 x)))) 1)) into (sqrt (- (exp (* a x)) 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))))) in (x a) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in a * [misc]taylor: Taking taylor expansion of (- x) in a * [misc]taylor: Taking taylor expansion of x in a * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (* (/ 1 (- x)) (/ 1 (- a))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- x)) (/ 1 (- a)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- x)) (/ 1 (- a)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- a))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in x * [misc]taylor: Taking taylor expansion of (- a) in x * [misc]taylor: Taking taylor expansion of a in x * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 (/ -1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- x)) (/ 1 (- a)))) 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 (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))) into (pow (- (exp (/ 1 (* a x))) 1) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (- (exp (/ 1 (* a x))) 1))))) into 0 * [misc]backup-simplify: Simplify (* (pow (- (exp (/ 1 (* a x))) 1) 1/4) (pow (- (exp (/ 1 (* a x))) 1) 1/4)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]taylor: Taking taylor expansion of (sqrt (- (exp (/ 1 (* a x))) 1)) in a * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 (* a x))) 1) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (* a x))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 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 (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (exp (/ 1 (* a x))) into (exp (/ 1 (* a x))) * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (* a x))) -1) into (- (exp (/ 1 (* a x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* a x))) 1)) into (sqrt (- (exp (/ 1 (* a x))) 1)) * [misc]backup-simplify: Simplify (+ (* (pow (- (exp (/ 1 (* a x))) 1) 1/4) 0) (* 0 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (exp (/ 1 (* a x))) 1) 1/4) 0) (+ (* 0 0) (* 0 (pow (- (exp (/ 1 (* a x))) 1) 1/4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (- (exp (/ 1 (* a x))) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (- (exp (/ 1 (* a x))) 1) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (- (exp (/ 1 (* a x))) 1) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (- (exp (/ 1 (* a x))) 1) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (- (exp (/ 1 (* (/ 1 (- a)) (/ 1 (- x))))) 1)) into (sqrt (- (exp (* a x)) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 6 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (expm1 (* x a)))) (cbrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 8 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 21 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (expm1 (* x a)))) (cbrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (expm1 (* x a)))) (cbrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [enter]simplify: Simplifying (cbrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (fabs (cbrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (cbrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (cbrt (expm1 (* a x)))) * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (expm1 (* x a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (expm1 (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log1p (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (sqrt (expm1 (* x a))))) (log (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (expm1 (* a x))))) (log (sqrt (sqrt (expm1 (* a x)))))) * [exit]simplify: Simplified to (+ (log (sqrt (sqrt (expm1 (* a x))))) (log (sqrt (sqrt (expm1 (* a x)))))) * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (log (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (exp (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) (sqrt (sqrt (expm1 (* x a))))) (* (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) (cbrt (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (expm1 (* a x)))) (cbrt (sqrt (expm1 (* a x))))) * [enter]simplify: Simplifying (cbrt (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (cbrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (* (expm1 (* a x)) (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (expm1 (* x a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [enter]simplify: Simplifying (sqrt (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (* (cbrt (sqrt (sqrt (expm1 (* x a))))) (cbrt (sqrt (sqrt (expm1 (* x a))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (* (cbrt (sqrt (sqrt (expm1 (* a x))))) (cbrt (sqrt (sqrt (expm1 (* a x))))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (* (cbrt (sqrt (sqrt (expm1 (* a x))))) (cbrt (sqrt (sqrt (expm1 (* a x))))))) * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (* (cbrt (sqrt (expm1 (* x a)))) (cbrt (sqrt (expm1 (* x a))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (fabs (cbrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (* (cbrt (expm1 (* x a))) (cbrt (expm1 (* x a))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (fabs (cbrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (fabs (cbrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt 1)) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt 1)) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt 1)) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt 1)) * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * [exit]simplify: Simplified to (sqrt (sqrt (expm1 (* a x)))) * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (expm1 (* x a))))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (sqrt (expm1 (* x a))))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (cbrt (sqrt (expm1 (* a x)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (cbrt (sqrt (expm1 (* a x)))))) * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (cbrt (expm1 (* x a))))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (sqrt (cbrt (expm1 (* a x)))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (expm1 (* a x)))) (sqrt (sqrt (cbrt (expm1 (* a x)))))) * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (expm1 (* x a))))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (expm1 (* x a))))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt (expm1 (* x a))))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * [exit]simplify: Simplified to (* (sqrt (sqrt (sqrt (expm1 (* a x))))) (sqrt (sqrt (expm1 (* a x))))) * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * [exit]simplify: Simplified to (sqrt (expm1 (* a x))) * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x)))))))))) * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (- (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (- (exp (* a x)) 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (* (sqrt (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x)))))))) (sqrt (sqrt (expm1 (* x a)))))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (* (sqrt (sqrt (- (exp (* a x)) 1))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (* (sqrt (sqrt (- (exp (* a x)) 1))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* +nan.0 (* (pow a 3) (pow x 3))) (- (+ (* +nan.0 (* (pow a 2) (pow x 2))) (- (* +nan.0 (* a x))))))) (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (exp (* a x)) 1)) (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (exp (* a x)) 1)) (* (sqrt (sqrt (expm1 (* x a)))) (sqrt (sqrt (expm1 (* x a)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (expm1 (* x a)) * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) 0) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 (* x a))) (sqrt (- (exp (* a x)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (* a x)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 a +inf.0)) , with alts (#) * [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)