* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (- (/ (/ PI 4)))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/32 (sqr PI))) into (- (* 1/32 (sqr PI))) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (- (* 1/32 (sqr PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [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 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 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 into 0 * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [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 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 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 into 0 * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/32 (sqr PI))) into (- (* 1/32 (sqr PI))) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (- (* 1/32 (sqr PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2880 (pow PI 3))) (pow f 3)) (+ (* (* 1/12 PI) f) (* (/ 4 PI) (/ 1 f)))) into (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3)))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/32 (sqr PI))) into (- (* 1/32 (sqr PI))) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (- (* 1/32 (sqr PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (sqr PI)) * [misc]backup-simplify: Simplify (* 1/48 (sqr PI)) into (* 1/48 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (sqr PI)) (sqr f)) (- (log (/ 4 PI)) (log f)))) into (- (+ (* 1/48 (* (sqr PI) (sqr f))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/32 (sqr PI))) into (- (* 1/32 (sqr PI))) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (- (* 1/32 (sqr PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (sqr f)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (sqr f)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * [misc]approximate: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]approximate: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ f (/ 4 PI)))) (- (pow (exp 1/4) (/ PI f)) (exp (* (/ PI f) (- 1/4)))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- PI) (/ f 4))) (exp (/ f (/ 4 PI)))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (- (+ (/ (/ 4 f) PI) (* (* PI 1/12) f)) (* (* (cube f) 1/2880) (cube PI))))) * * * * [misc]progress: [ 5 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp 1/4) (/ PI f)) (exp (* (/ 1/4 f) (- PI)))) (- (pow (exp 1/4) (/ PI f)) (exp (* (/ 1/4 f) (- PI)))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) * * * * [misc]progress: [ 7 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (- (+ (* 1/48 (* (sqr PI) (sqr f))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (- (+ (* (sqr (* PI f)) 1/48) (- (log (/ 4 PI)) (log f))) (* (pow PI 4) (* 7/23040 (pow f 4)))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 8 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp 1/4) (/ PI f)) (exp (* (/ 1/4 f) (- PI)))) (- (pow (exp 1/4) (/ PI f)) (exp (* (/ 1/4 f) (- PI)))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 9 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (/ PI 4)) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (sqr f)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (- (+ (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) (- (* (* f f) (* 1/12 PI)) (* (* PI (* 7/5760 PI)) (* PI (pow f 4)))))) * * * * [misc]progress: [ 11 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (* (/ 1/4 f) (- PI))) (pow (exp 1/4) (/ PI f))) (- (pow (exp 1/4) (/ PI f)) (exp (* (/ 1/4 f) (- PI))))))) * * * * [misc]progress: [ 12 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) * * * * [misc]progress: [ 13 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (log (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 16 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * * * * [misc]progress: [ 17 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (cbrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 18 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (cube (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (cube (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) * * * * [misc]progress: [ 19 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 20 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (+ 1 2)) (* (- PI) (/ f 4)))) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (+ 1 2)) (* (- PI) (/ f 4)))) * [enter]simplify: Simplifying (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (+ 1 (+ (pow (exp (/ PI 4)) (- (- f) f)) (exp (* (/ PI 4) (+ f f))))) * [exit]simplify: Simplified to (+ 1 (+ (pow (exp (/ PI 4)) (- (- f) f)) (exp (* (/ PI 4) (+ f f))))) * * * * [misc]progress: [ 21 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 22 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (- (exp (* (/ f 4) (+ PI PI))) (pow (exp (/ PI 4)) (+ (- f) (- f)))) * [exit]simplify: Simplified to (- (exp (* (/ f 4) (+ PI PI))) (pow (exp (/ PI 4)) (+ (- f) (- f)))) * [enter]simplify: Simplifying (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 24 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))) * [enter]simplify: Simplifying (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 25 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (log (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (log (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (- (log (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (log (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 30 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cube (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (cube (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (cube (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 32 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (cube (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (cube (/ (+ (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 34 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 36 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (- (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) * [enter]simplify: Simplifying (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (- (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (exp (/ f (/ 4 PI)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (exp (/ f (/ 4 PI)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 39 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 40 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 41 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (exp (/ f (/ 4 PI)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (exp (/ f (/ 4 PI)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 42 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 43 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (/ 1 (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 45 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 46 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) 1) * * * * [misc]progress: [ 47 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4)))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 48 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) 1) * * * * [misc]progress: [ 49 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 50 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 51 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 1 2)) (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 1 2)) (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 52 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (/ 1 (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 53 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqr (exp (* (/ PI 4) f))) (- (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (+ (- (pow (exp (/ PI 4)) (- (- f) f)) 1) (exp (/ (+ PI PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (* (+ (- (pow (exp (/ PI 4)) (- (- f) f)) 1) (exp (/ (+ PI PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 54 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqr (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (sqr (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 55 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 56 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ (- f) (/ 4 PI)))) (sqrt (exp (/ PI (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ (- f) (/ 4 PI)))) (sqrt (exp (/ PI (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 57 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 58 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 59 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ (- f) (/ 4 PI)))) (sqrt (exp (/ PI (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ (- f) (/ 4 PI)))) (sqrt (exp (/ PI (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 60 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 62 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * [enter]simplify: Simplifying (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (log (- (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (- (log (- (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 63 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (- f)) (* (+ 1 2) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (- f)) (* (+ 1 2) (/ PI 4)))))) * [enter]simplify: Simplifying (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (log (+ (+ (pow (exp (/ PI 4)) (- (+ f f))) (exp (* (+ f f) (/ PI 4)))) 1)) * [exit]simplify: Simplified to (log (+ (+ (pow (exp (/ PI 4)) (- (+ f f))) (exp (* (+ f f) (/ PI 4)))) 1)) * * * * [misc]progress: [ 64 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (- (log (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (- (log (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * * * * [misc]progress: [ 65 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (* (- PI) (/ f 4))))) * [enter]simplify: Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (log (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 66 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 67 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 69 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cube (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (cube (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 75 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (+ (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))) (log (/ (/ PI 4)))) * [exit]simplify: Simplified to (+ (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))) (log (/ (/ PI 4)))) * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (log (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ f 4) PI))) (- (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4)))) * [exit]simplify: Simplified to (log (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ f 4) PI))) (- (exp (* (/ f 4) PI)) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4)))) * * * * [misc]progress: [ 78 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (/ (/ PI 4))) * * * * [misc]progress: [ 79 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ (/ PI 4))) (cube (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (cube (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (cube (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (cube (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (cube (/ (/ PI 4)))) * * * * [misc]progress: [ 80 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))) * [exit]simplify: Simplified to (cbrt (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))) * * * * [misc]progress: [ 81 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (cube (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4)))) * [exit]simplify: Simplified to (cube (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4)))) * * * * [misc]progress: [ 82 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 4))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))) (cbrt (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))) (cbrt (/ (/ PI 4)))) * * * * [misc]progress: [ 83 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))) * [exit]simplify: Simplified to (sqrt (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (/ PI 4)))) * * * * [misc]progress: [ 84 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (/ PI 4))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))) (sqrt (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))))) (sqrt (/ (/ PI 4)))) * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) 0) * [exit]simplify: Simplified to (* (/ (/ PI 4)) 0) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (/ PI (/ 4 f)))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (/ PI (/ 4 f)))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ f (/ 4 PI)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ f (/ 4 PI)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (- f) (/ PI 4)))))))) * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) 0) * [exit]simplify: Simplified to (* (/ (/ PI 4)) 0) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) 0) * [exit]simplify: Simplified to (* (/ (/ PI 4)) 0) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (/ PI (/ 4 f)))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (/ PI (/ 4 f)))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ f (/ 4 PI)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (/ f (/ 4 PI)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (- f) (/ PI 4)))))))) * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) 0) * [exit]simplify: Simplified to (* (/ (/ PI 4)) 0) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log 1)) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log 1)) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (/ (/ PI 4))) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (- f)) (* (+ 1 2) (/ PI 4)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* PI (/ f 4)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (- f)) (* (+ 1 2) (/ PI 4)))))) (/ (/ PI 4))) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (+ (+ 1 (pow (exp (- f)) (/ (+ PI PI) 4))) (exp (/ (+ PI PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (+ (+ 1 (pow (exp (- f)) (/ (+ PI PI) 4))) (exp (/ (+ PI PI) (/ 4 f)))))) * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (/ (/ PI 4))) * * * * [misc]progress: [ 96 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* 0 (/ (/ PI 4))) * [exit]simplify: Simplified to (* 0 (/ (/ PI 4))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (* (/ f 4) PI)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (* (/ f 4) PI)))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 98 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* 0 (/ (/ PI 4))) * [exit]simplify: Simplified to (* 0 (/ (/ PI 4))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 99 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* 0 (/ (/ PI 4))) * [exit]simplify: Simplified to (* 0 (/ (/ PI 4))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 100 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (* (/ f 4) PI)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (exp (* (/ f 4) PI)))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* PI (/ f 4)))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 101 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* 0 (/ (/ PI 4))) * [exit]simplify: Simplified to (* 0 (/ (/ PI 4))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 102 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log 1)) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log 1)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* PI (/ f 4))) (exp (/ (- PI) (/ 4 f)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 103 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [enter]simplify: Simplifying (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (- (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 104 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 1 2)) (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 1 2)) (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [enter]simplify: Simplifying (* (log (+ (sqr (exp (* (/ PI 4) f))) (+ (sqr (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (* (log (+ (+ (exp (* (/ PI 4) (+ f f))) 1) (pow (exp (/ PI 4)) (- (+ f f))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (+ (+ (exp (* (/ PI 4) (+ f f))) 1) (pow (exp (/ PI 4)) (- (+ f f))))) (/ (/ PI 4))) * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqr (exp (* (/ PI 4) f))) (sqr (exp (- (* (/ PI 4) f))))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (* (log (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (+ (exp (* PI (/ f 4))) (exp (/ (- f) (/ 4 PI)))))) * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (/ PI 4)) * [exit]simplify: Simplified to (/ (/ PI 4)) * * * * [misc]progress: [ 107 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (/ PI 4)) * [exit]simplify: Simplified to (/ (/ PI 4)) * * * * [misc]progress: [ 108 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (/ (/ PI 4))) * * * * [misc]progress: [ 109 / 109 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [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 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* PI (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ f 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube f) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube f) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]taylor: Rewrote expression to (pow f 3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* f (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/2 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [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 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* PI (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ f 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube f) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube f) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]taylor: Rewrote expression to (pow f 3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* f (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/2 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/4)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI)) * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (sqr PI)) * [misc]backup-simplify: Simplify (* 1/48 (sqr PI)) into (* 1/48 (sqr PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/4))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 5)) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (sqr PI)) (sqr f)) (- (log (/ 4 PI)) (log f)))) into (- (+ (* 1/48 (* (sqr PI) (sqr f))) (log (/ 4 PI))) (+ (log f) (* 7/23040 (* (pow PI 4) (pow f 4))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 f) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 f)) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]taylor: Rewrote expression to (pow (/ 1 f) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 f) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 f)) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]taylor: Rewrote expression to (pow (/ 1 f) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow f -3) 1/192) into (/ 1/192 (pow f 3)) * [misc]backup-simplify: Simplify (* (/ 1/192 (pow f 3)) (pow PI 3)) into (* 1/192 (/ (pow PI 3) (pow f 3))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) 0) into (* 1/192 (/ (pow PI 3) (pow f 3))) * [misc]backup-simplify: Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5)) * [misc]backup-simplify: Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) (* 1/2 PI))))) into (- (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) 1)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -3) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/192 (pow f 3)) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -5) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))))))) (/ (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) (* 1/2 PI))))) into (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (pow f 10))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (* 1/737280 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (pow f 8)))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) 2)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (pow f 10))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (* 1/737280 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (pow f 8))))))))) 1)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) * [misc]backup-simplify: Simplify (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) into (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) (sqr (/ 1 f))) (+ (* (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (/ 1 f)) (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log f) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (* 1/943718400 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))))))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (* PI -1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 (- f)) 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- f))) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]taylor: Rewrote expression to (pow (/ 1 (- f)) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/2 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (* PI -1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 (- f)) 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- f))) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]taylor: Rewrote expression to (pow (/ 1 (- f)) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/2 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) 1/192) into (* 1/192 (exp (* 3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (* (* 1/192 (exp (* 3 (- (log -1) (log f))))) (pow PI 3)) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) 0) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))))))))) 1)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (exp (* 3 (- (log -1) (log f))))) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f)))))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 3)))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* 1/4 (/ PI f)))))) (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))))))))) 2)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 3)))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* 1/4 (/ PI f)))))) (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* -1/4 (/ PI f))))))))))))) 1)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 4))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 4))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) * [misc]backup-simplify: Simplify (* 1/2 (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 4))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 4))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) into (* 1/2 (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 4))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 4))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 4))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 4))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) (sqr (/ 1 (- f)))) (+ (* (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) (/ 1 (- f))) (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (* (sqr f) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log f) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f))))))))))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 4))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/1887436800 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (* f (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/1887436800 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))))))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 2 2 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [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 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* PI (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ f 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube f) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube f) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]taylor: Rewrote expression to (pow f 3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* f (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/2 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [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 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* PI (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ f 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube f) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube f) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]taylor: Rewrote expression to (pow f 3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* f (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/2 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (- (log (/ 4 PI)) (log f))) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/4)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI)) * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (sqr PI)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (sqr PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (- (* 1/12 PI)) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/4))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) 0) (+ (* 0 (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 5)) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (* 7/5760 (pow PI 3)) * [misc]backup-simplify: Simplify (* 7/5760 (pow PI 3)) into (* 7/5760 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/5760 (pow PI 3)) (pow f 4)) (+ (* (- (* 1/12 PI)) (sqr f)) (* -4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow PI 3) (pow f 4)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (sqr f))))) * [misc]approximate: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 f) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 f)) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]taylor: Rewrote expression to (pow (/ 1 f) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 f) 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (/ 1 f) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 f)) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]taylor: Rewrote expression to (pow (/ 1 f) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))) into (* -4 (/ (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) into (* -4 (/ (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow f -3) 1/192) into (/ 1/192 (pow f 3)) * [misc]backup-simplify: Simplify (* (/ 1/192 (pow f 3)) (pow PI 3)) into (* 1/192 (/ (pow PI 3) (pow f 3))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) 0) into (* 1/192 (/ (pow PI 3) (pow f 3))) * [misc]backup-simplify: Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5)) * [misc]backup-simplify: Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) (* 1/2 PI))))) into (- (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) 1)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (* 0 (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (+ (* 1/7680 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (+ (* 1/7680 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (+ (* 1/7680 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -3) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/192 (pow f 3)) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -5) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3))))))) (/ (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) (* 1/2 PI))))) into (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (pow f 10))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (* 1/737280 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (pow f 8)))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* PI (exp (* -1/4 (/ PI f)))) (pow f 3))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 5))) (+ (* 1/15360 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 5))) (* 1/48 (/ (* PI (exp (* 1/4 (/ PI f)))) (pow f 3)))))))) 2)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (pow f 10))) (+ (* 1/471859200 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (pow f 10))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (pow f 6))) (+ (* 1/4608 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (pow f 6))) (+ (* 1/737280 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (pow f 8))) (* 1/737280 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (pow f 8))))))))) 1)) (pow (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* 1/2 (- (+ (* 1/4608 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (pow PI 8) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (pow PI 6) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/471859200 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/9216 (/ (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))))))) (+ (* 0 (* -1 (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) (* 0 (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))))) into (- (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/2304 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/2304 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) into (- (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 6) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) (sqr (/ 1 f))) (+ (* (+ (* 1/7680 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 3) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (/ 1 f)) (* -4 (/ (+ (log f) (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI)))) into (- (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))))) (+ (* 4 (/ (log f) PI)) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 4 (/ (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) PI)) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))) * [misc]approximate: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (* PI -1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 (- f)) 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- f))) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]taylor: Rewrote expression to (pow (/ 1 (- f)) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/2 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (* PI -1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 (- f)) 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (+ (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (/ 1 (- f)) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- f))) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]taylor: Rewrote expression to (pow (/ 1 (- f)) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* 1/2 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* -1 (* 1/2 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))) into (* -4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) into (* -4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) 1/192) into (* 1/192 (exp (* 3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (* (* 1/192 (exp (* 3 (- (log -1) (log f))))) (pow PI 3)) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 1/2 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) 0) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))))))))) 1)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (- (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI)) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (exp (* 3 (- (log -1) (log f))))) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f)))))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 3)))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* 1/4 (/ PI f)))))) (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI))) (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))))))))) 2)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 3)))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* 1/4 (/ PI f)))))) (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* -1/4 (/ PI f))))))))))))) 1)) (pow (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 4))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 4))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* 1/2 (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 4))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 4))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))))))) (+ (* 0 (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) (* 0 (+ (log f) (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))))))) into (- (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 3))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/2304 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 3))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/2304 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 3))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/2304 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 3))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/2304 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) into (- (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 3))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))) (+ (* 1/2304 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 3))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f)))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 1/2304 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))))) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- 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(sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (sqr (exp 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enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (+ (- (* (sqr (* f PI)) 1/48) (log f)) (- (log (/ 4 PI)) (* (pow PI 4) (* 7/23040 (pow f 4)))))) * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (- (+ (* 1/9216 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (log f) (+ (* 1/1474560 (/ (* (pow PI 6) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/9216 (/ (* (pow PI 4) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/943718400 (/ (* (pow PI 8) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI 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(pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/18432 (/ (* (pow PI 4) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (pow PI 4) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/96 (/ (* (sqr PI) (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/2949120 (/ (* (pow PI 6) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))))))) * * [misc]simplify: iters left: 6 (128 enodes) * * [misc]simplify: iters left: 5 (402 enodes) * [exit]simplify: Simplified to (* (- (- (+ (+ (+ (+ (* (/ (/ (pow (exp -1/4) (/ PI f)) (/ (pow f 10) (pow PI 6))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) 1/1474560) (* (/ 1/943718400 (pow f 12)) (/ (* (pow (exp 1/4) (/ PI f)) (pow PI 8)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))))) (+ (log (/ (+ (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) PI)) (* (/ 1/943718400 (pow f 12)) (/ (* (pow PI 8) (pow (exp -1/4) (/ PI f))) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))) (+ (* (/ 1/9216 (pow f 8)) (/ (* (pow (exp 1/4) (/ PI f)) (pow PI 4)) (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (/ (/ (* (* 1/1474560 (pow PI 6)) (pow (exp 1/4) (/ PI f))) (+ (pow 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(pow f 10))) (/ (* (* 1/9216 (pow PI 4)) (exp (* (/ PI f) (+ 1/4 -1/4)))) (* (pow f 8) (sqr (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (- (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/9216 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (exp (* 1/4 (/ PI f))))) (* (sqr f) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI 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(pow PI 4) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 6) (sqr (exp (* -1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/943718400 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 4) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/1474560 (/ (* (pow PI 6) (* (exp (* 1/4 (/ PI f))) (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 4))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/18432 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 4) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) (sqr PI))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/1887436800 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* -1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (sqr PI) (exp (* 1/4 (/ PI f))))) (* f (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/1887436800 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 8) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f))))))))))))))))))) * * [misc]simplify: iters left: 6 (162 enodes) * * [misc]simplify: iters left: 5 (451 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (- (- (+ (+ (* (/ 1/1474560 (sqr f)) (/ (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 5) (- (log -1) (log f)))) (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (* (pow (exp -1/4) (/ PI f)) (pow PI 6))))) (/ (* (* 1/1474560 (pow (exp 3) (- (log -1) (log f)))) (* (* (pow PI 6) (pow (exp 1/4) (/ PI f))) (pow (exp 5) (- (log -1) (log f))))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (sqr f)))) (+ (+ (* (/ 1/943718400 (sqr f)) (/ (sqr (pow (exp 5) (- (log -1) (log f)))) (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (* (pow PI 8) (pow (exp -1/4) (/ PI f)))))) (* 1/9216 (* (* (/ (pow (exp 3) (- (log -1) (log f))) f) (/ (pow (exp 3) (- (log -1) (log f))) f)) (/ (* (pow (exp 1/4) (/ PI f)) (pow PI 4)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (log f) (* (* (* (/ (pow (exp 3) (- (log -1) (log 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1/4) (/ PI f))))) 1/30720) (+ (+ (* (* (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (pow (exp -1/4) (/ PI f)) f) (/ (pow (exp 1/4) (/ PI f)) (/ f (pow PI 4))))) 1/18432) (* (/ (* (* (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow PI 6)) (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 5) (- (log -1) (log f))))) (* (sqr f) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) 1/2949120)) (+ (+ (* (* (* (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (pow PI 8) f) (/ (exp (* (/ PI f) (+ 1/4 -1/4))) f))) 1/943718400) (* (* (* (/ (pow (exp 3) (- (log -1) (log f))) f) (/ (pow (exp 3) (- (log -1) (log f))) f)) (* (/ (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow PI 4) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) 1/18432)) (+ (+ (/ (* (* 1/1474560 (* (pow PI 6) (pow (exp 1/4) (/ PI f)))) (* (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 5) (- (log -1) (log f)))) (pow (exp -1/4) (/ PI f)))) (* (sqr f) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (* 1/18432 (+ (* (* (/ (pow (exp 3) (- (log -1) (log f))) f) (/ (pow (exp 3) (- (log -1) (log f))) f)) (/ (* (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (pow PI 4)) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (* (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (pow (exp -1/4) (/ PI f)) f) (/ (pow (exp 1/4) (/ PI f)) (/ f (pow PI 4)))))))) (+ (+ (* 1/1887436800 (* (* (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (pow PI 8) f) (/ (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) f)))) (* (/ 1/96 (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (pow (exp 3) (- (log -1) (log f))) (* (* PI PI) (pow (exp 1/4) (/ PI f)))) f))) (+ (* 1/96 (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (* PI PI) (pow (exp -1/4) (/ PI f))) f))) (* (* (* (/ (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) f) (/ (pow PI 8) f)) (* (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) 1/1887436800))))))))) * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow PI 3) (pow f 4)))) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (sqr f))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (- (* (cube PI) (* 7/5760 (pow f 4))) (* (* PI 1/12) (sqr f)))) * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI 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* [exit]simplify: Simplified to (- (+ (+ (* 1/2304 (/ (/ (* (pow (exp 1/4) (/ PI f)) (cube PI)) (/ (pow f 8) (pow (exp -1/4) (/ PI f)))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (+ (/ (/ (* (* 1/24 PI) (pow (exp -1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 4)) (* (/ 1/4608 (pow f 8)) (/ (* (cube PI) (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))))) (+ (+ (/ (/ (* (* 1/7680 (cube PI)) (pow (exp -1/4) (/ PI f))) (pow f 6)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* (* 1/4608 (/ (cube PI) (pow f 8))) (* (/ (pow (exp 1/4) (/ PI f)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 1/4) (/ PI f)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (* (/ 1/235929600 (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 7) (exp (* (/ PI f) (+ 1/4 -1/4)))) (pow f 12))) (* (/ 1/7680 (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 6) (cube PI))))) (+ (+ (* (/ 1/471859200 (pow f 12)) (/ (* (* (pow PI 7) (pow (exp -1/4) (/ PI f))) (pow (exp -1/4) (/ PI f))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (* (/ 1/471859200 (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (* (pow (exp 1/4) (/ PI f)) (pow PI 7)) (pow (exp 1/4) (/ PI f))) (pow f 12)))) (+ (+ (* (/ 1/368640 (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 5) (exp (* (/ PI f) (+ 1/4 -1/4)))) (pow f 10))) (* (/ 1/737280 (pow f 10)) (/ (* (* (pow (exp -1/4) (/ PI f)) (pow PI 5)) (pow (exp -1/4) (/ PI f))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (/ (/ (* (* 1/24 PI) (pow (exp 1/4) (/ PI f))) (pow f 4)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* (/ 1/737280 (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (sqr (pow (exp 1/4) (/ PI f))) (pow PI 5)) (pow f 10))))))))) (+ (/ (* 4 (log f)) PI) (+ (+ (/ (* (* 1/368640 (pow PI 5)) (pow (exp -1/4) (/ PI f))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow f 10))) (* 1/2304 (+ (/ (/ (pow (exp -1/4) (/ PI f)) (/ (pow f 8) (cube PI))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 8) (cube PI))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (/ (* (* 1/235929600 (pow PI 7)) (pow (exp 1/4) (/ PI f))) (* (pow f 12) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (* 1/368640 (pow PI 5)) (pow (exp 1/4) (/ PI f))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow f 10)))) (+ (/ (/ (* (* 1/235929600 (pow PI 7)) (pow (exp -1/4) (/ PI f))) (pow f 12)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* 4 (/ (log (/ (+ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) PI)) PI))))))) * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (* (pow PI 3) (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (sqr (exp (* -1/4 (/ PI f)))) (pow PI 3))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/368640 (/ (* (exp (* -1/4 (/ PI f))) (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (* (exp (* 3 (- (log -1) (log f)))) (exp (* 5 (- (log -1) (log f)))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f)))))) (* (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (sqr f)))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* -1/4 (/ PI f))) PI)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) f))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f)))))) (* (sqr f) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* 1/4 (/ PI f))))) (* f (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))))) (+ (* 1/2304 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (pow PI 3) (exp (* 1/4 (/ PI f))))) (* (sqr f) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 4 (/ (log f) PI)) (+ (* 1/2304 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (* (exp (* -1/4 (/ PI f))) (pow PI 3))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* -1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 4 (/ (log (* -2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) PI)) (+ (* 1/235929600 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (* (pow PI 7) (exp (* 1/4 (/ PI f))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (+ (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))) (* 1/368640 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f)))))) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (sqr f)))))))))))) * * [misc]simplify: iters left: 6 (160 enodes) * * [misc]simplify: iters left: 5 (458 enodes) * [exit]simplify: Simplified to (- (+ (+ (* 1/7680 (* (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 1/4) (/ PI f)) (/ f (cube PI))))) (* (* (* (/ (pow (exp -1/4) (/ PI f)) f) (/ (pow (exp 1/4) (/ PI f)) (/ f (cube PI)))) (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) 1/4608)) (+ (+ (* (* (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (* (pow PI 7) (exp (* (/ PI f) (+ 1/4 -1/4)))) (* f f)) 1/235929600)) (+ (* (/ 1/737280 (* f f)) (/ (* (exp (* (- (log -1) (log f)) (+ 3 5))) (* (pow PI 5) (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (* (* (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) (/ (* f f) (cube PI)))) 1/4608))) (+ (+ (/ (* (* 1/368640 (* (pow (exp -1/4) (/ PI f)) (pow PI 5))) (exp (+ (* (/ PI f) 1/4) (* (- (log -1) (log f)) (+ 3 5))))) (* (* (* f f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (* (* (/ (pow (exp -1/4) (/ PI f)) f) (/ (pow (exp 1/4) (/ PI f)) (/ f (cube PI)))) (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) 1/4608)) (+ (+ (* (/ 1/737280 (* f f)) (* (/ (exp (* (- (log -1) (log f)) (+ 3 5))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (* (pow (exp -1/4) (/ PI f)) (pow PI 5)) (pow (exp -1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (* 1/471859200 (+ (* (* (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 7) (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* f f))) (* (* (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 5) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (pow PI 7) f) (/ (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))) f)))))) (+ (+ (* 1/24 (* (/ (pow (exp 3) (- (log -1) (log f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (pow (exp 1/4) (/ PI f)) PI) f))) (* 1/4608 (* (* (/ (* (pow (exp 1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (cube PI) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (pow (exp 3) (- (log -1) (log f))) f) (/ (pow (exp 3) (- (log -1) (log f))) f))))) (+ (* (/ 1/24 (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (* PI (pow (exp -1/4) (/ PI f))) (pow (exp 3) (- (log -1) (log f)))) f)) (/ (* 1/7680 (* (pow (exp 5) (- (log -1) (log f))) (* (cube PI) (pow (exp -1/4) (/ PI f))))) (* f (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))))))) (+ (+ (* (/ 1/2304 (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (pow (exp 3) (- (log -1) (log f))) (pow (exp 3) (- (log -1) (log f)))) (/ (* f f) (* (cube PI) (pow (exp 1/4) (/ PI f)))))) (+ (* (/ (log f) PI) 4) (* 1/2304 (* (* (/ (pow (exp 3) (- (log -1) (log f))) f) (/ (pow (exp 3) (- (log -1) (log f))) f)) (/ (* (cube PI) (pow (exp -1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))))) (+ (+ (* (/ (log (* (/ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) PI) -2)) PI) 4) (/ (* (* 1/235929600 (sqr (pow (exp 5) (- (log -1) (log f))))) (* (pow PI 7) (pow (exp -1/4) (/ PI f)))) (* (* f f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (+ (* 1/368640 (+ (/ (* (exp (* (- (log -1) (log f)) (+ 3 5))) (* (pow (exp -1/4) (/ PI f)) (pow PI 5))) (* (* f f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (* (/ (exp (* (- (log -1) (log f)) (+ 3 5))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (* (pow PI 5) (pow (exp 1/4) (/ PI f))) (* f f))))) (* 1/235929600 (/ (* (pow (exp 5) (- (log -1) (log f))) (* (pow (exp 5) (- (log -1) (log f))) (* (pow (exp 1/4) (/ PI f)) (pow PI 7)))) (* (* f f) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))))))) * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (cube f) (* 1/192 (cube PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (cube f) (* 1/192 (cube PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (cube f) (* 1/192 (cube PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (cube f) (* 1/192 (cube PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (cube f) (* 1/192 (cube PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (cube f) (* 1/192 (cube PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (/ 1 (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (pow (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) 3) (pow (* 1/61440 (* (pow f 5) (pow PI 5))) 3)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (cube (+ (* (* (cube f) (sqr PI)) (* 1/192 PI)) (* (* 1/2 f) PI))) (cube (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (cube (+ (* (* (cube f) (sqr PI)) (* 1/192 PI)) (* (* 1/2 f) PI))) (cube (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (log (+ (sqr (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI)))) (- (sqr (* 1/61440 (* (pow f 5) (pow PI 5)))) (* (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (log (- (* (* (pow PI 5) (* 1/61440 (pow f 5))) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (- (- (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/192 (cube PI)) (cube f))) (* f (* 1/2 PI))) (+ (* f (* 1/2 PI)) (* (* 1/192 (cube PI)) (cube f)))))) * [exit]simplify: Simplified to (log (- (* (* (pow PI 5) (* 1/61440 (pow f 5))) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (- (- (* (pow PI 5) (* 1/61440 (pow f 5))) (* (* 1/192 (cube PI)) (cube f))) (* f (* 1/2 PI))) (+ (* f (* 1/2 PI)) (* (* 1/192 (cube PI)) (cube f)))))) * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (- (sqr (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI)))) (sqr (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI)))) (- (* (+ (* (* (* f f) (* f 1/192)) (cube PI)) (* 1/2 (* PI f))) (+ (* (* (* f f) (* f 1/192)) (cube PI)) (* 1/2 (* PI f)))) (* (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI)))) (- (* (+ (* (* (* f f) (* f 1/192)) (cube PI)) (* 1/2 (* PI f))) (+ (* (* (* f f) (* f 1/192)) (cube PI)) (* 1/2 (* PI f)))) (* (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * [enter]simplify: Simplifying (log (- (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (log (- (+ (* f (* 1/2 PI)) (* (* (cube f) (cube PI)) 1/192)) (* (pow f 5) (* (pow PI 5) 1/61440)))) * [exit]simplify: Simplified to (log (- (+ (* f (* 1/2 PI)) (* (* (cube f) (cube PI)) 1/192)) (* (pow f 5) (* (pow PI 5) 1/61440)))) * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (log (+ (+ (* f (* 1/2 PI)) (* (* (* f 1/192) (* f f)) (cube PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) * [exit]simplify: Simplified to (log (+ (+ (* f (* 1/2 PI)) (* (* (* f 1/192) (* f f)) (cube PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (cube f) (* 1/192 (cube PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (cube f) (* 1/192 (cube PI))) (* PI (* 1/2 f))) (* (* (pow f 5) 1/61440) (pow PI 5))))) * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))) * [exit]simplify: Simplified to (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow PI 5) (* (pow f 5) 1/61440)))) * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (cube (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* (cube PI) (cube f)) 1/192)) (* 1/2 (* PI f)))))) * [exit]simplify: Simplified to (cube (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (pow f 5) (* 1/61440 (pow PI 5))) (* (* (cube PI) (cube f)) 1/192)) (* 1/2 (* PI f)))))) * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (log (cube PI)) * [exit]simplify: Simplified to (log (cube PI)) * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (exp (cube PI)) * [exit]simplify: Simplified to (exp (cube PI)) * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cube (cube PI)) * [exit]simplify: Simplified to (cube (cube PI)) * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI PI) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* PI PI) * [exit]simplify: Simplified to (* PI PI) * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (cube PI)) * [exit]simplify: Simplified to (sqrt (cube PI)) * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (pow PI 5)) * [exit]simplify: Simplified to (exp (pow PI 5)) * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (pow PI 5)) * [exit]simplify: Simplified to (cube (pow PI 5)) * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ (/ PI 4)))) (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (+ (log (- (/ (/ PI 4)))) (log (log (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (cube f) (* 1/192 PI)) (* PI PI)))))))) * [exit]simplify: Simplified to (+ (log (- (/ (/ PI 4)))) (log (log (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (cube f) (* 1/192 PI)) (* PI PI)))))))) * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (log (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* f PI) 1/2) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* (* (* 1/192 f) (* f f)) (cube PI)))))))) * [exit]simplify: Simplified to (log (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (* (* f PI) 1/2) (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* (* (* 1/192 f) (* f f)) (cube PI)))))))) * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (259 enodes) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* (* (cube f) (* PI PI)) (* 1/192 PI))) (* PI (* 1/2 f)))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI)))) (+ (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* (* (cube f) (* PI PI)) (* 1/192 PI))) (* PI (* 1/2 f)))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (- (/ (/ PI 4)))) (cube (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (* (- (cube (/ (/ PI 4)))) (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (cube f) (* 1/192 PI)) (* PI PI))))))) (sqr (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (cube f) (* 1/192 PI)) (* PI PI)))))))) * [exit]simplify: Simplified to (* (* (- (cube (/ (/ PI 4)))) (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (cube f) (* 1/192 PI)) (* PI PI))))))) (sqr (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (cube f) (* 1/192 PI)) (* PI PI)))))))) * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* f f) (* (cube PI) (* 1/192 f))))))))) * [exit]simplify: Simplified to (cbrt (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* f f) (* (cube PI) (* 1/192 f))))))))) * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (cube (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* (* (cube f) 1/192) (cube PI))) (* PI (* 1/2 f))))))) * [exit]simplify: Simplified to (cube (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (+ (* (* (pow PI 5) 1/61440) (pow f 5)) (* (* (cube f) 1/192) (cube PI))) (* PI (* 1/2 f))))))) * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (/ PI 4)))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (cube f) (* 1/192 PI)) (* PI PI))))))) (cbrt (- (/ (/ PI 4))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (cube f) (* 1/192 PI)) (* PI PI))))))) (cbrt (- (/ (/ PI 4))))) * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (sqrt (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* f f) (* (cube PI) (* 1/192 f))))))))) * [exit]simplify: Simplified to (sqrt (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* f f) (* (cube PI) (* 1/192 f))))))))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (/ (/ PI 4)))) (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (* (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (cube f) (* 1/192 PI)) (* PI PI))))))) (sqrt (- (/ (/ PI 4))))) * [exit]simplify: Simplified to (* (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* (* 1/61440 (pow f 5)) (pow PI 5)) (* (* (cube f) (* 1/192 PI)) (* PI PI))))))) (sqrt (- (/ (/ PI 4))))) * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- (log 1)) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (- (log 1)) (/ (/ PI 4))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ 1 (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (* (log (+ (+ (* (cube PI) (* (* 1/192 f) (* f f))) (* PI (* f 1/2))) (* (* (pow PI 5) (pow f 5)) 1/61440))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (+ (+ (* (cube PI) (* (* 1/192 f) (* f f))) (* PI (* f 1/2))) (* (* (pow PI 5) (pow f 5)) 1/61440))) (/ (/ PI 4))) * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (pow (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) 3) (pow (* 1/61440 (* (pow f 5) (pow PI 5))) 3))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (cube (+ (* PI (* 1/2 f)) (* (* (* 1/192 f) (* f f)) (cube PI)))) (cube (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (cube (+ (* PI (* 1/2 f)) (* (* (* 1/192 f) (* f f)) (cube PI)))) (cube (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (+ (sqr (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI)))) (- (sqr (* 1/61440 (* (pow f 5) (pow PI 5)))) (* (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (sqr (* (pow f 5) (* 1/61440 (pow PI 5)))) (* (+ (* (* (* PI PI) (* 1/192 PI)) (cube f)) (* 1/2 (* f PI))) (- (+ (* (* (* PI PI) (* 1/192 PI)) (cube f)) (* 1/2 (* f PI))) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (sqr (* (pow f 5) (* 1/61440 (pow PI 5)))) (* (+ (* (* (* PI PI) (* 1/192 PI)) (cube f)) (* 1/2 (* f PI))) (- (+ (* (* (* PI PI) (* 1/192 PI)) (cube f)) (* 1/2 (* f PI))) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (- (sqr (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI)))) (sqr (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI)))) (- (* (+ (* 1/2 (* f PI)) (* (* PI PI) (* (* 1/192 PI) (cube f)))) (+ (* 1/2 (* f PI)) (* (* PI PI) (* (* 1/192 PI) (cube f))))) (* (* (pow f 5) (* (pow PI 5) 1/61440)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI)))) (- (* (+ (* 1/2 (* f PI)) (* (* PI PI) (* (* 1/192 PI) (cube f)))) (+ (* 1/2 (* f PI)) (* (* PI PI) (* (* 1/192 PI) (cube f))))) (* (* (pow f 5) (* (pow PI 5) 1/61440)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (- (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (* (* 1/192 (cube f)) (cube PI)) (- (* 1/2 (* f PI)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (* (* 1/192 (cube f)) (cube PI)) (- (* 1/2 (* f PI)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* PI (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))) (* (cube f) (* (sqr PI) (* 1/192 PI)))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* PI (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))) (* (cube f) (* (sqr PI) (* 1/192 PI)))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* PI (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))) (* (cube f) (* (sqr PI) (* 1/192 PI)))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* PI (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))) (* (cube f) (* (sqr PI) (* 1/192 PI)))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (- (log 1)) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (- (log 1)) (/ (/ PI 4))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* PI (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))) (* (cube f) (* (sqr PI) (* 1/192 PI)))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* PI (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))) (* (cube f) (* (sqr PI) (* 1/192 PI)))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (* (log (/ 1 (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (log (+ (* 1/2 (* PI f)) (+ (* (* (* 1/192 f) (cube PI)) (sqr f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (+ (* 1/2 (* PI f)) (+ (* (* (* 1/192 f) (cube PI)) (sqr f)) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (/ (/ PI 4))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (pow (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) 3) (pow (* 1/61440 (* (pow f 5) (pow PI 5))) 3)))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (cube (+ (* (* (cube PI) (cube f)) 1/192) (* PI (* 1/2 f)))) (cube (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (cube (+ (* (* (cube PI) (cube f)) 1/192) (* PI (* 1/2 f)))) (cube (* 1/61440 (* (pow PI 5) (pow f 5))))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (log (+ (sqr (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI)))) (- (sqr (* 1/61440 (* (pow f 5) (pow PI 5)))) (* (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (* (log (- (* (* (pow PI 5) (* 1/61440 (pow f 5))) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (+ (* f (* 1/2 PI)) (* (* 1/192 (cube f)) (cube PI))) (- (- (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI))) (* (* 1/192 (cube f)) (cube PI)))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (- (* (* (pow PI 5) (* 1/61440 (pow f 5))) (* (pow PI 5) (* 1/61440 (pow f 5)))) (* (+ (* f (* 1/2 PI)) (* (* 1/192 (cube f)) (cube PI))) (- (- (* (pow PI 5) (* 1/61440 (pow f 5))) (* f (* 1/2 PI))) (* (* 1/192 (cube f)) (cube PI)))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (- (sqr (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI)))) (sqr (* 1/61440 (* (pow f 5) (pow PI 5))))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (- (* (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI))) (* (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (- (* (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI))) (* (* 1/61440 (* (pow f 5) (pow PI 5))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (log (- (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (- (+ (* f (* 1/2 PI)) (* (* 1/192 (cube f)) (cube PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (- (+ (* f (* 1/2 PI)) (* (* 1/192 (cube f)) (cube PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* f (* PI 1/2)) (* (* (* PI PI) (* 1/192 PI)) (cube f))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* f (* PI 1/2)) (* (* (* PI PI) (* 1/192 PI)) (cube f))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* f (* PI 1/2)) (* (* (* PI PI) (* 1/192 PI)) (cube f))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* f (* PI 1/2)) (* (* (* PI PI) (* 1/192 PI)) (cube f))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 74 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* f (* PI 1/2)) (* (* (* PI PI) (* 1/192 PI)) (cube f))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* f (* PI 1/2)) (* (* (* PI PI) (* 1/192 PI)) (cube f))) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (+ (* f (* PI 1/2)) (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (* (* (* PI PI) (* 1/192 PI)) (cube f))))))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [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 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* PI (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ f 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [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 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* PI (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ f 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/4)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 1)))) 2) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (* 1/32 (sqr PI)) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/4))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/16 (sqr PI))) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/3072 (pow PI 4))) 1)) (pow 2 1)))) 24) into (* -1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (* -1/3072 (pow PI 4)) into (* -1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -1/3072 (pow PI 4)) (pow f 4)) (+ (* (* 1/32 (sqr PI)) (sqr f)) (log 2))) into (- (+ (* 1/32 (* (sqr PI) (sqr f))) (log 2)) (* 1/3072 (* (pow PI 4) (pow f 4)))) * [misc]approximate: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 f) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 f) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]approximate: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (* PI -1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 (- f)) 4))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (* PI -1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 (- f)) 4))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1 2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [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 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* PI (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ f 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (* (* 1/2 PI) f) in f * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube f) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube f) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]taylor: Rewrote expression to (pow f 3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (pow f 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* 1/2 PI) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 1) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [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 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* PI (/ f 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ f 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (* (* 1/2 PI) f) in f * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube f) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube f) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube f) in f * [misc]taylor: Rewrote expression to (pow f 3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (pow f 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* 1/2 PI) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 1) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 1/2 PI))) into (+ (log f) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (- (+ (log f) (log (* 1/2 PI)))) into (- (+ (log f) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (+ (log 2) (- (+ (log f) (log (* 1/2 PI))))) into (- (log 2) (+ (log f) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (- (log 2) (+ (log f) (log (* 1/2 PI))))) into (* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 PI)))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 PI)))) PI)) into (* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 PI)))) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) 0) (* 0 (- (log 2) (+ (log f) (log (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/4)) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (* 1/32 (sqr PI))) into (* 1/16 (sqr PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 1)))) 2) into (* 1/32 (sqr PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* 1 1/192) into 1/192 * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/192 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/192 (pow PI 3))) 1)) (pow (* 1/2 PI) 1)))) 2) into (* 1/96 (sqr PI)) * [misc]backup-simplify: Simplify (- (* 1/96 (sqr PI))) into (- (* 1/96 (sqr PI))) * [misc]backup-simplify: Simplify (+ (* 1/32 (sqr PI)) (- (* 1/96 (sqr PI)))) into (* 1/48 (sqr PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log 2) (+ (log f) (log (* 1/2 PI))))))) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (- (* 1/12 PI)) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/4))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/192 (pow PI 3))) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) 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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) 0) (+ (* 0 (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log 2) (+ (log f) (log (* 1/2 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/16 (sqr PI))) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/16 (sqr PI))) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/3072 (pow PI 4))) 1)) (pow 2 1)))) 24) into (* -1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/192 (pow PI 3))) 1)) (pow (* 1/2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/192 (pow PI 3))) 2)) (pow (* 1/2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/61440 (pow PI 5))) 1)) (pow (* 1/2 PI) 1)))) 24) into (* -1/46080 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* -1/46080 (pow PI 4))) into (* 1/46080 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* -1/3072 (pow PI 4)) (* 1/46080 (pow PI 4))) into (- (* 7/23040 (pow PI 4))) * [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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (- (* 7/23040 (pow PI 4)))) (+ (* 0 0) (+ (* 0 (* 1/48 (sqr PI))) (+ (* 0 0) (* 0 (- (log 2) (+ (log f) (log (* 1/2 PI))))))))) into (* 7/5760 (pow PI 3)) * [misc]backup-simplify: Simplify (* 7/5760 (pow PI 3)) into (* 7/5760 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* (* 7/5760 (pow PI 3)) (pow f 4)) (+ (* (- (* 1/12 PI)) (sqr f)) (* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 PI)))) PI)))) into (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/2 PI)) PI)))) (+ (* 1/12 (* PI (sqr f))) (* 4 (/ (log 2) PI)))) * [misc]approximate: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (+ (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 f) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (- (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (* (* 1/2 PI) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 f)) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]taylor: Rewrote expression to (pow (/ 1 f) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (+ (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* PI (/ (/ 1 f) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 f) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 f) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]backup-simplify: Simplify (* PI 1/4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 f) 4))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (- (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* 1/2 PI) (/ 1 f)) (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (* (* 1/2 PI) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 f)) 1/192) (cube PI)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 f)) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 f)) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 f)) in f * [misc]taylor: Rewrote expression to (pow (/ 1 f) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log f)) * [misc]backup-simplify: Simplify (- (- (log (* 1/2 PI)) (log f))) into (- (log f) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (log f) (log (* 1/2 PI)))) into (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (* 1/2 PI)))) into (* -4 (/ (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (* 1/2 PI))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (* 1/2 PI))) PI)) into (* -4 (/ (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (* 1/2 PI))) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* (pow f -3) 1/192) into (/ 1/192 (pow f 3)) * [misc]backup-simplify: Simplify (* (/ 1/192 (pow f 3)) (pow PI 3)) into (* 1/192 (/ (pow PI 3) (pow f 3))) * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (pow f -5) (* 1/61440 (pow PI 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3))))) into (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3))))) 1)) (pow (* 1/2 PI) 1)))) 1) into (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (sqr PI) (pow f 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (sqr PI) (pow f 3))))) into (- (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (sqr PI) (pow f 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (sqr PI) (pow f 3)))))) into (- (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (sqr PI) (pow f 3))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (- (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (sqr PI) (pow f 3)))))) (* 0 (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (* 1/2 PI))))) into (+ (* 1/24 (/ PI (pow f 3))) (* 1/7680 (/ (pow PI 3) (pow f 5)))) * [misc]backup-simplify: Simplify (+ (* 1/24 (/ PI (pow f 3))) (* 1/7680 (/ (pow PI 3) (pow f 5)))) into (+ (* 1/24 (/ PI (pow f 3))) (* 1/7680 (/ (pow PI 3) (pow f 5)))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -3) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1/192 (pow f 3)) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 5) 0) (* 0 1/61440)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -5) 0) (* 0 (* 1/61440 (pow PI 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (/ (pow PI 3) (pow f 3))))) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into (* -1/2 (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (+ (* 1/9216 (/ (pow PI 4) (pow f 6))) (* 1/943718400 (/ (pow PI 8) (pow f 10)))))) * [misc]backup-simplify: Simplify (- (* -1/2 (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (+ (* 1/9216 (/ (pow PI 4) (pow f 6))) (* 1/943718400 (/ (pow PI 8) (pow f 10))))))) into (+ (* 1/2949120 (/ (pow PI 6) (pow f 8))) (+ (* 1/18432 (/ (pow PI 4) (pow f 6))) (* 1/1887436800 (/ (pow PI 8) (pow f 10))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/2949120 (/ (pow PI 6) (pow f 8))) (+ (* 1/18432 (/ (pow PI 4) (pow f 6))) (* 1/1887436800 (/ (pow PI 8) (pow f 10)))))) into (+ (* 1/2949120 (/ (pow PI 6) (pow f 8))) (+ (* 1/18432 (/ (pow PI 4) (pow f 6))) (* 1/1887436800 (/ (pow PI 8) (pow f 10))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (+ (* 1/2949120 (/ (pow PI 6) (pow f 8))) (+ (* 1/18432 (/ (pow PI 4) (pow f 6))) (* 1/1887436800 (/ (pow PI 8) (pow f 10)))))) (+ (* 0 (- (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (sqr PI) (pow f 3)))))) (* 0 (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (* 1/2 PI)))))) into (- (+ (* 1/4608 (/ (pow PI 3) (pow f 6))) (+ (* 1/737280 (/ (pow PI 5) (pow f 8))) (* 1/471859200 (/ (pow PI 7) (pow f 10)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/4608 (/ (pow PI 3) (pow f 6))) (+ (* 1/737280 (/ (pow PI 5) (pow f 8))) (* 1/471859200 (/ (pow PI 7) (pow f 10)))))) into (- (+ (* 1/4608 (/ (pow PI 3) (pow f 6))) (+ (* 1/737280 (/ (pow PI 5) (pow f 8))) (* 1/471859200 (/ (pow PI 7) (pow f 10)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/4608 (/ (pow PI 3) (pow f 6))) (+ (* 1/737280 (/ (pow PI 5) (pow f 8))) (* 1/471859200 (/ (pow PI 7) (pow f 10)))))) (sqr (/ 1 f))) (+ (* (+ (* 1/24 (/ PI (pow f 3))) (* 1/7680 (/ (pow PI 3) (pow f 5)))) (/ 1 f)) (* -4 (/ (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (* 1/2 PI))) PI)))) into (- (+ (* 4 (/ (log (* 1/2 PI)) PI)) (+ (* 1/7680 (/ (pow PI 3) (pow f 6))) (* 1/24 (/ PI (pow f 4))))) (+ (* 1/4608 (/ (pow PI 3) (pow f 8))) (+ (* 4 (/ (log f) PI)) (+ (* 1/737280 (/ (pow PI 5) (pow f 10))) (+ (* 4 (/ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) PI)) (* 1/471859200 (/ (pow PI 7) (pow f 12)))))))) * [misc]approximate: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (+ (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (* PI -1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 (- f)) 4))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (- (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (* (* 1/2 PI) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- f))) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]taylor: Rewrote expression to (pow (/ 1 (- f)) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))))))) in f * [misc]taylor: Taking taylor expansion of (- (/ (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (+ (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) (- (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* PI (/ (/ 1 (- f)) 4)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* PI (/ (/ 1 (- f)) 4))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ (/ 1 (- f)) 4)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ -1 4) into -1/4 * [misc]backup-simplify: Simplify (* PI -1/4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* PI (/ (/ 1 (- f)) 4))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (- (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))))) in f * [misc]taylor: Taking taylor expansion of (log (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (+ (* (* 1/2 PI) (/ 1 (- f))) (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (* (* 1/2 PI) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Taking taylor expansion of (* (* (cube (/ 1 (- f))) 1/192) (cube PI)) in f * [misc]taylor: Taking taylor expansion of (* (cube (/ 1 (- f))) 1/192) in f * [misc]taylor: Taking taylor expansion of (cube (/ 1 (- f))) in f * [misc]taylor: Rewrote expression to (pow (/ 1 (- f)) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (cube PI) in f * [misc]taylor: Rewrote expression to (pow PI 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log f)) * [misc]backup-simplify: Simplify (- (- (log (- (* 1/2 PI))) (log f))) into (- (log f) (log (- (* 1/2 PI)))) * [misc]backup-simplify: Simplify (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (log f) (log (- (* 1/2 PI))))) into (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (- (* 1/2 PI)))) * [misc]backup-simplify: Simplify (* (- (* 4 (/ 1 PI))) (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (- (* 1/2 PI))))) into (* -4 (/ (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (- (* 1/2 PI)))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (- (* 1/2 PI)))) PI)) into (* -4 (/ (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (- (* 1/2 PI)))) PI)) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) 1/192) into (* 1/192 (exp (* 3 (- (log -1) (log f))))) * [misc]backup-simplify: Simplify (* (* 1/192 (exp (* 3 (- (log -1) (log f))))) (pow PI 3)) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (* 1/61440 (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into (* -1 (+ (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4))) (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (sqr PI))))) * [misc]backup-simplify: Simplify (- (* -1 (+ (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4))) (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (sqr PI)))))) into (+ (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4))) (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (sqr PI)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4))) (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (sqr PI))))) into (+ (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4))) (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (sqr PI)))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (+ (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4))) (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (sqr PI))))) (* 0 (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (- (* 1/2 PI)))))) into (- (+ (* 1/24 (* (exp (* 3 (- (log -1) (log f)))) PI)) (* 1/7680 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (- (+ (* 1/24 (* (exp (* 3 (- (log -1) (log f)))) PI)) (* 1/7680 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3))))) into (- (+ (* 1/24 (* (exp (* 3 (- (log -1) (log f)))) PI)) (* 1/7680 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (- (/ 4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (exp (* 3 (- (log -1) (log f))))) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 5) 0) (* 0 1/61440)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (* 1/61440 (pow PI 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into (* -1/2 (+ (* 1/9216 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 4))) (+ (* 1/943718400 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 8))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6))))))) * [misc]backup-simplify: Simplify (- (* -1/2 (+ (* 1/9216 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 4))) (+ (* 1/943718400 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 8))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6)))))))) into (+ (* 1/18432 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 4))) (+ (* 1/1887436800 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 8))) (* 1/2949120 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6)))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/18432 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 4))) (+ (* 1/1887436800 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 8))) (* 1/2949120 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6))))))) into (+ (* 1/18432 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 4))) (+ (* 1/1887436800 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 8))) (* 1/2949120 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 4 (/ 1 PI))) (+ (* 1/18432 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 4))) (+ (* 1/1887436800 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 8))) (* 1/2949120 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 6))))))) (+ (* 0 (+ (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4))) (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (sqr PI))))) (* 0 (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (- (* 1/2 PI))))))) into (- (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 3))) (+ (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 7))) (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 3))) (+ (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 7))) (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))))) into (- (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 3))) (+ (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 7))) (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/4608 (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 3))) (+ (* 1/471859200 (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 7))) (* 1/737280 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))))) (sqr (/ 1 (- f)))) (+ (* (- (+ (* 1/24 (* (exp (* 3 (- (log -1) (log f)))) PI)) (* 1/7680 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3))))) (/ 1 (- f))) (* -4 (/ (- (+ (log f) (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (log (- (* 1/2 PI)))) PI)))) into (- (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) PI) f)) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) f)) (* 4 (/ (log (- (* 1/2 PI))) PI)))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 3)) (sqr f))) (+ (* 4 (/ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) PI)) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (sqr f))) (+ (* 4 (/ (log f) PI)) (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 7)) (sqr f)))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 1 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 2 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (- (+ (* 1/32 (* (sqr PI) (sqr f))) (log 2)) (* 1/3072 (* (pow PI 4) (pow f 4)))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (+ (* (* 1/2 PI) f) (* (cube f) (* 1/192 (cube PI)))))) (- (+ (- (* (* (* f PI) (* f PI)) 1/32) (* (pow f 4) (* 1/3072 (pow PI 4)))) (log 2)))) (/ (/ PI 4))) * * * * [misc]progress: [ 2 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (log (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* 1/2 PI) f) (* (* (* f 1/192) (* f f)) (cube PI))))))) * * * * [misc]progress: [ 3 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (log (+ (* (pow PI 5) (* (pow f 5) 1/61440)) (+ (* (* 1/2 PI) f) (* (* (* f 1/192) (* f f)) (cube PI))))))) * * * * [misc]progress: [ 4 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 5 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 6 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 7 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 8 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 9 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 10 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log f) PI)) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log (* 1/2 PI)) PI)))) (+ (* 1/12 (* PI (sqr f))) (* 4 (/ (log 2) PI)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (- (+ (* (pow f 4) (* (sqr PI) (* PI 7/5760))) (- (* (log f) (/ 4 PI)) (* (sqr f) (* 1/12 PI)))) (* (/ 4 PI) (- (log 2) (log (* 1/2 PI))))) * * * * [misc]progress: [ 11 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (* 1/2 PI)) PI)) (+ (* 1/7680 (/ (pow PI 3) (pow f 6))) (* 1/24 (/ PI (pow f 4))))) (+ (* 1/4608 (/ (pow PI 3) (pow f 8))) (+ (* 4 (/ (log f) PI)) (+ (* 1/737280 (/ (pow PI 5) (pow f 10))) (+ (* 4 (/ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) PI)) (* 1/471859200 (/ (pow PI 7) (pow f 12)))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (109 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (log (* PI 1/2)) (/ 4 PI)) (/ (* 1/24 PI) (pow f 4))) (- (* (/ (cube PI) (pow f 6)) 1/7680) (/ (log f) (/ PI 4)))) (+ (/ (log (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (/ PI 4)) (+ (* (/ (cube PI) (pow f 8)) 1/4608) (+ (/ (pow PI 7) (/ (pow f 12) 1/471859200)) (* (pow PI 5) (/ 1/737280 (pow f 10))))))) * * * * [misc]progress: [ 12 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) PI) f)) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) f)) (* 4 (/ (log (- (* 1/2 PI))) PI)))) (+ (* 1/4608 (/ (* (sqr (exp (* 3 (- (log -1) (log f))))) (pow PI 3)) (sqr f))) (+ (* 4 (/ (log (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) PI)) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (sqr f))) (+ (* 4 (/ (log f) PI)) (* 1/471859200 (/ (* (sqr (exp (* 5 (- (log -1) (log f))))) (pow PI 7)) (sqr f)))))))) * * [misc]simplify: iters left: 6 (67 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (- (+ (/ (* (* (* 1/7680 PI) (sqr PI)) (pow (exp 5) (- (log -1) (log f)))) f) (+ (- (* (/ 4 PI) (log (* (- PI) 1/2))) (* (/ 1/4608 (/ f PI)) (/ (pow (/ -1 f) (+ 3 3)) (/ (/ f PI) PI)))) (* 1/24 (/ (cube (/ -1 f)) (/ f PI))))) (+ (+ (* (/ 4 PI) (log (+ (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (+ (/ (log f) (/ PI 4)) (/ (* 1/737280 (pow (/ -1 f) (+ 3 5))) (* f (/ f (pow PI 5)))))) (/ (* (pow (/ -1 f) (+ 5 5)) 1/471859200) (/ (* f f) (pow PI 7))))) * * * * [misc]progress: [ 13 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 14 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 15 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow (exp (/ (- f) (/ 4 PI))) 3) (pow (exp (* PI (/ f 4))) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (log (+ (exp (* (- (/ f 4)) (+ PI (+ PI PI)))) (cube (pow (exp PI) (/ f 4))))) * [exit]simplify: Simplified to (log (+ (exp (* (- (/ f 4)) (+ PI (+ PI PI)))) (cube (pow (exp PI) (/ f 4))))) * [enter]simplify: Simplifying (log (+ (sqr (exp (/ (- f) (/ 4 PI)))) (- (sqr (exp (* PI (/ f 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (log (+ (- (exp (* (/ PI 4) (+ f f))) 1) (pow (exp (/ f 4)) (+ (- PI) (- PI))))) * [exit]simplify: Simplified to (log (+ (- (exp (* (/ PI 4) (+ f f))) 1) (pow (exp (/ f 4)) (+ (- PI) (- PI))))) * * * * [misc]progress: [ 16 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr (exp (/ (- f) (/ 4 PI)))) (sqr (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (log (- (pow (exp (- PI)) (+ (/ f 4) (/ f 4))) (exp (* (/ f 4) (+ PI PI))))) * [exit]simplify: Simplified to (log (- (pow (exp (- PI)) (+ (/ f 4) (/ f 4))) (exp (* (/ f 4) (+ PI PI))))) * [enter]simplify: Simplifying (log (- (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (log (- (exp (* (- f) (/ PI 4))) (pow (exp PI) (/ f 4)))) * [exit]simplify: Simplified to (log (- (exp (* (- f) (/ PI 4))) (pow (exp PI) (/ f 4)))) * * * * [misc]progress: [ 17 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 18 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (log (log (+ (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (log (+ (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 20 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (+ (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 21 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (log (+ (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (cbrt (log (+ (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 22 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (cube (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (cube (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 23 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (sqrt (log (+ (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (sqrt (log (+ (pow (exp PI) (/ f 4)) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 24 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (log (cube PI)) * [exit]simplify: Simplified to (log (cube PI)) * * * * [misc]progress: [ 28 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (exp (cube PI)) * [exit]simplify: Simplified to (exp (cube PI)) * * * * [misc]progress: [ 29 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 30 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (cube (cube PI)) * [exit]simplify: Simplified to (cube (cube PI)) * * * * [misc]progress: [ 31 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI PI) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* PI PI) * [exit]simplify: Simplified to (* PI PI) * * * * [misc]progress: [ 32 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube PI)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (sqrt (cube PI)) * [exit]simplify: Simplified to (sqrt (cube PI)) * * * * [misc]progress: [ 33 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 35 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 37 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (pow PI 5)) * [exit]simplify: Simplified to (exp (pow PI 5)) * * * * [misc]progress: [ 38 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * * * * [misc]progress: [ 39 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (pow PI 5)) * [exit]simplify: Simplified to (cube (pow PI 5)) * * * * [misc]progress: [ 40 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * * * * [misc]progress: [ 41 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 43 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ (/ PI 4)))) (log (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (+ (log (+ (- (log (+ (* (* (* f f) (* f 1/192)) (cube PI)) (+ (* (* 1/2 f) PI) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4)))))) (log (- (/ (/ PI 4))))) * [exit]simplify: Simplified to (+ (log (+ (- (log (+ (* (* (* f f) (* f 1/192)) (cube PI)) (+ (* (* 1/2 f) PI) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4)))))) (log (- (/ (/ PI 4))))) * * * * [misc]progress: [ 45 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (log (* (+ (log (+ (* (* 1/192 (cube f)) (cube PI)) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* f (* 1/2 PI))))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI))))))) (/ (/ PI 4)))) * [exit]simplify: Simplified to (log (* (+ (log (+ (* (* 1/192 (cube f)) (cube PI)) (+ (* (* (pow f 5) 1/61440) (pow PI 5)) (* f (* 1/2 PI))))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI))))))) (/ (/ PI 4)))) * * * * [misc]progress: [ 46 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 f) (* f f)) (cube PI)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (* PI (* 1/2 f)) (+ (* (* (* 1/192 f) (* f f)) (cube PI)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (- (/ (/ PI 4)))) * * * * [misc]progress: [ 47 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (- (/ (/ PI 4)))) (cube (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (* (* (- (/ (/ PI 4))) (* (/ (/ PI 4)) (/ (/ PI 4)))) (cube (+ (- (log (+ (+ (* (* (cube f) 1/192) (cube PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* 1/2 f))))) (log (+ (exp (/ (- PI) (/ 4 f))) (pow (exp PI) (/ f 4))))))) * [exit]simplify: Simplified to (* (* (- (/ (/ PI 4))) (* (/ (/ PI 4)) (/ (/ PI 4)))) (cube (+ (- (log (+ (+ (* (* (cube f) 1/192) (cube PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* PI (* 1/2 f))))) (log (+ (exp (/ (- PI) (/ 4 f))) (pow (exp PI) (/ f 4))))))) * * * * [misc]progress: [ 48 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) (log (+ (* f (* 1/2 PI)) (+ (* (cube f) (* (* PI 1/192) (* PI PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))))) * [exit]simplify: Simplified to (cbrt (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) (log (+ (* f (* 1/2 PI)) (+ (* (cube f) (* (* PI 1/192) (* PI PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))))) * * * * [misc]progress: [ 49 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (cube (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) (log (+ (* (* 1/192 (cube f)) (cube PI)) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))))) * [exit]simplify: Simplified to (cube (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) (log (+ (* (* 1/192 (cube f)) (cube PI)) (+ (* (* (pow PI 5) (pow f 5)) 1/61440) (* f (* 1/2 PI)))))))) * * * * [misc]progress: [ 50 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (/ PI 4)))) (cbrt (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI 4)))) (cbrt (+ (- (log (+ (* (* (* f f) (* f 1/192)) (cube PI)) (+ (* (* 1/2 f) PI) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))))))) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI 4)))) (cbrt (+ (- (log (+ (* (* (* f f) (* f 1/192)) (cube PI)) (+ (* (* 1/2 f) PI) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))))))) * * * * [misc]progress: [ 51 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) (log (+ (* f (* 1/2 PI)) (+ (* (cube f) (* (* PI 1/192) (* PI PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))))) * [exit]simplify: Simplified to (sqrt (* (/ (/ PI 4)) (+ (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) (log (+ (* f (* 1/2 PI)) (+ (* (cube f) (* (* PI 1/192) (* PI PI))) (* (* (pow f 5) 1/61440) (pow PI 5)))))))) * * * * [misc]progress: [ 52 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (/ (/ PI 4)))) (sqrt (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ (/ PI 4)))) (sqrt (+ (- (log (+ (* (* (* f f) (* f 1/192)) (cube PI)) (+ (* (* 1/2 f) PI) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))))))) * [exit]simplify: Simplified to (* (sqrt (- (/ (/ PI 4)))) (sqrt (+ (- (log (+ (* (* (* f f) (* f 1/192)) (cube PI)) (+ (* (* 1/2 f) PI) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))))))) * * * * [misc]progress: [ 53 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (log (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI PI) (* (* PI 1/192) (cube f))) (* (* 1/2 f) PI)))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (+ (* (pow f 5) (* (pow PI 5) 1/61440)) (+ (* (* PI PI) (* (* PI 1/192) (cube f))) (* (* 1/2 f) PI)))) (/ (/ PI 4))) * * * * [misc]progress: [ 55 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (* (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (- (/ (/ PI 4)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (+ (+ (* (* (sqr PI) (* 1/192 PI)) (cube f)) (* (* f PI) 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (log (+ (+ (* (* (sqr PI) (* 1/192 PI)) (cube f)) (* (* f PI) 1/2)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 56 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (+ (* (- (/ (/ PI 4))) (log (+ (+ (* (* PI PI) (* (* PI 1/192) (cube f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* 1/2 PI) f)))) (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (/ (/ PI 4)))) * [exit]simplify: Simplified to (+ (* (- (/ (/ PI 4))) (log (+ (+ (* (* PI PI) (* (* PI 1/192) (cube f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* 1/2 PI) f)))) (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (/ (/ PI 4)))) * * * * [misc]progress: [ 57 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 58 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 59 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 60 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 61 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 62 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 63 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * * * * [misc]progress: [ 64 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 65 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (+ (* (- (/ (/ PI 4))) (log (+ (+ (* (* PI PI) (* (* PI 1/192) (cube f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* 1/2 PI) f)))) (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (/ (/ PI 4)))) * [exit]simplify: Simplified to (+ (* (- (/ (/ PI 4))) (log (+ (+ (* (* PI PI) (* (* PI 1/192) (cube f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* 1/2 PI) f)))) (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (/ (/ PI 4)))) * * * * [misc]progress: [ 66 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (/ PI 4)) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (+ (* (- (/ (/ PI 4))) (log (+ (+ (* (* PI PI) (* (* PI 1/192) (cube f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* 1/2 PI) f)))) (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (/ (/ PI 4)))) * [exit]simplify: Simplified to (+ (* (- (/ (/ PI 4))) (log (+ (+ (* (* PI PI) (* (* PI 1/192) (cube f))) (* (* 1/61440 (pow PI 5)) (pow f 5))) (* (* 1/2 PI) f)))) (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (/ (/ PI 4)))) * * * * [misc]progress: [ 67 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (+ (log (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/2 f) PI) (* (* (cube PI) (cube f)) 1/192)))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (/ (/ PI 4))) * * * * [misc]progress: [ 68 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (+ (pow (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4))))) 3) (pow (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) 3))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (+ (* (sqr (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (cube (log (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (cube PI) (* (* f f) (* 1/192 f)))) (* (* 1/2 PI) f)))))) * [exit]simplify: Simplified to (* (/ (/ PI 4)) (+ (* (sqr (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))))) (cube (log (+ (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (cube PI) (* (* f f) (* 1/192 f)))) (* (* 1/2 PI) f)))))) * * * * [misc]progress: [ 69 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (- (sqr (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) (sqr (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (* (* (- (/ (/ PI 4))) (+ (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* (* (cube f) 1/192) (cube PI)) (+ (* (* f 1/2) PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* (* (cube f) 1/192) (cube PI)) (+ (* (* f 1/2) PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (* (* (- (/ (/ PI 4))) (+ (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* (* (cube f) 1/192) (cube PI)) (+ (* (* f 1/2) PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* (* (cube f) 1/192) (cube PI)) (+ (* (* f 1/2) PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * * * [misc]progress: [ 70 / 70 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 f +inf.0)) , with alts (#) * [enter]simplify: Simplifying (- (+ (* (sqr (* PI f)) 1/48) (- (log (/ 4 PI)) (log f))) (* (pow PI 4) (* 7/23040 (pow f 4)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (- (+ (* (* (* f PI) (* f PI)) 1/48) (- (log (/ 4 PI)) (log f))) (* (* 7/23040 (pow f 4)) (pow PI 4))) * [exit]simplify: Simplified to (- (+ (* (* (* f PI) (* f PI)) 1/48) (- (log (/ 4 PI)) (log f))) (* (* 7/23040 (pow f 4)) (pow PI 4))) * [enter]simplify: Simplifying (- (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [enter]simplify: Simplifying (- (/ (/ PI 4))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [exit]simplify: Simplified to (- (/ (/ PI 4))) * [enter]simplify: Simplifying (log (- (exp (* PI (/ f 4))) (exp (* (- f) (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * [exit]simplify: Simplified to (log (- (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (log (- (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI))))) * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (* (/ 1/4 f) (- PI))) (pow (exp 1/4) (/ PI f))) (- (pow (exp 1/4) (/ PI f)) (exp (* (/ 1/4 f) (- PI))))))) * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (sqrt (- (exp (* (/ f 4) PI)) (exp (/ (- f) (/ 4 PI))))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (- (sqr (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) (sqr (- (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (* (* (- (/ (/ PI 4))) (+ (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* (* (cube f) 1/192) (cube PI)) (+ (* (* f 1/2) PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* (* (cube f) 1/192) (cube PI)) (+ (* (* f 1/2) PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (* (* (- (/ (/ PI 4))) (+ (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* (* (cube f) 1/192) (cube PI)) (+ (* (* f 1/2) PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (- (log (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f))))) (log (+ (* (* (cube f) 1/192) (cube PI)) (+ (* (* f 1/2) PI) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (+ (* (pow f 4) (* (sqr PI) (* PI 7/5760))) (- (* (log f) (/ 4 PI)) (* (sqr f) (* 1/12 PI)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (+ (- (* (/ 4 PI) (log f)) (* (* f f) (* 1/12 PI))) (* (* (pow f 4) (* PI 7/5760)) (sqr PI))) * [exit]simplify: Simplified to (+ (- (* (/ 4 PI) (log f)) (* (* f f) (* 1/12 PI))) (* (* (pow f 4) (* PI 7/5760)) (sqr PI))) * [enter]simplify: Simplifying (* (/ 4 PI) (- (log 2) (log (* 1/2 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (- (log 2) (log (* 1/2 PI))) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (log 2) (log (* 1/2 PI))) (/ 4 PI)) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (- (sqr (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI)))) (sqr (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI)))) (- (* (+ (* 1/2 (* f PI)) (* (* PI PI) (* (* 1/192 PI) (cube f)))) (+ (* 1/2 (* f PI)) (* (* PI PI) (* (* 1/192 PI) (cube f))))) (* (* (pow f 5) (* (pow PI 5) 1/61440)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ f 4) (- PI)))) (- (* (+ (* 1/2 (* f PI)) (* (* PI PI) (* (* 1/192 PI) (cube f)))) (+ (* 1/2 (* f PI)) (* (* PI PI) (* (* 1/192 PI) (cube f))))) (* (* (pow f 5) (* (pow PI 5) 1/61440)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (- (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (* (* 1/192 (cube f)) (cube PI)) (- (* 1/2 (* f PI)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (* (- (/ (/ PI 4))) (log (+ (* (* 1/192 (cube f)) (cube PI)) (- (* 1/2 (* f PI)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4)))) (+ (+ (* (* (* f 1/192) (* f f)) (cube PI)) (* (* 1/2 f) PI)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (* (cube (- (/ (/ PI 4)))) (cube (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))) (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (* (- (cube (/ (/ PI 4)))) (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (cube f) (* 1/192 PI)) (* PI PI))))))) (sqr (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (cube f) (* 1/192 PI)) (* PI PI)))))))) * [exit]simplify: Simplified to (* (* (- (cube (/ (/ PI 4)))) (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (cube f) (* 1/192 PI)) (* PI PI))))))) (sqr (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp PI) (/ f 4))) (+ (* f (* 1/2 PI)) (+ (* 1/61440 (* (pow f 5) (pow PI 5))) (* (* (cube f) (* 1/192 PI)) (* PI PI)))))))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* PI (/ f 4)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (- (/ (/ PI 4)))) * [exit]simplify: Simplified to (* (log (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) (- (/ (/ PI 4)))) * [enter]simplify: Simplifying (* (- (/ (/ PI 4))) (log (/ 1 (+ (+ (* (* (cube f) 1/192) (cube PI)) (* f (* 1/2 PI))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (* (log (+ (+ (* (cube PI) (* (* 1/192 f) (* f f))) (* PI (* f 1/2))) (* (* (pow PI 5) (pow f 5)) 1/61440))) (/ (/ PI 4))) * [exit]simplify: Simplified to (* (log (+ (+ (* (cube PI) (* (* 1/192 f) (* f f))) (* PI (* f 1/2))) (* (* (pow PI 5) (pow f 5)) 1/61440))) (/ (/ PI 4))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (log (+ (* (* 1/2 PI) f) (+ (* (* (cube f) 1/192) (cube PI)) (* (pow f 5) (* (pow PI 5) 1/61440))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (log (+ (* (cube PI) (* (* f 1/192) (sqr f))) (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (* (* f PI) 1/2)))) * [exit]simplify: Simplified to (log (+ (* (cube PI) (* (* f 1/192) (sqr f))) (+ (* (* (pow f 5) (pow PI 5)) 1/61440) (* (* f PI) 1/2)))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp PI) (/ f 4)) (exp (/ (- f) (/ 4 PI))))) * [exit]simplify: Simplified to (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp PI) (/ f 4)) (exp (/ (- f) (/ 4 PI))))) * [enter]simplify: Simplifying (/ (/ PI 4)) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ (/ PI 4)) * [exit]simplify: Simplified to (/ (/ PI 4)) * [enter]simplify: Simplifying (log (+ (sqrt (exp (/ (- f) (/ 4 PI)))) (sqrt (exp (/ PI (/ 4 f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (exp (* (/ f 4) PI))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (+ (sqrt (exp (* (/ f 4) PI))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (- (+ (* 1/2304 (/ (* (pow PI 3) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (pow PI 3) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 8) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/7680 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 6) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/471859200 (/ (* (pow PI 7) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 12) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/368640 (/ (* (pow PI 5) (* (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* -1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 1/24 (/ (* PI (exp (* 1/4 (/ PI f)))) (* (pow f 4) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (pow PI 5) (sqr (exp (* 1/4 (/ PI f))))) (* (pow f 10) (sqr (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))))))))))) (+ (* 4 (/ (log f) PI)) (+ (* 1/368640 (/ (* (pow PI 5) (exp (* -1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* -1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (pow PI 3) (exp (* 1/4 (/ PI f)))) (* (pow f 8) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* -1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (+ (* 4 (/ (log (* 2 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) PI))) PI)) (+ (* 1/235929600 (/ (* (pow PI 7) (exp (* 1/4 (/ PI f)))) (* (pow f 12) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 1/368640 (/ (* (pow PI 5) (exp (* 1/4 (/ PI f)))) (* (pow f 10) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))))) * * [misc]simplify: iters left: 6 (130 enodes) * * [misc]simplify: iters left: 5 (406 enodes) * [exit]simplify: Simplified to (- (+ (+ (* 1/2304 (/ (/ (* (pow (exp 1/4) (/ PI f)) (cube PI)) (/ (pow f 8) (pow (exp -1/4) (/ PI f)))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (+ (/ (/ (* (* 1/24 PI) (pow (exp -1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (pow f 4)) (* (/ 1/4608 (pow f 8)) (/ (* (cube PI) (* (pow (exp -1/4) (/ PI f)) (pow (exp -1/4) (/ PI f)))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))))) (+ (+ (/ (/ (* (* 1/7680 (cube PI)) (pow (exp -1/4) (/ PI f))) (pow f 6)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* (* 1/4608 (/ (cube PI) (pow f 8))) (* (/ (pow (exp 1/4) (/ PI f)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 1/4) (/ PI f)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (* (/ 1/235929600 (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 7) (exp (* (/ PI f) (+ 1/4 -1/4)))) (pow f 12))) (* (/ 1/7680 (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 6) (cube PI))))) (+ (+ (* (/ 1/471859200 (pow f 12)) (/ (* (* (pow PI 7) (pow (exp -1/4) (/ PI f))) (pow (exp -1/4) (/ PI f))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))))) (* (/ 1/471859200 (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (* (pow (exp 1/4) (/ PI f)) (pow PI 7)) (pow (exp 1/4) (/ PI f))) (pow f 12)))) (+ (+ (* (/ 1/368640 (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (pow PI 5) (exp (* (/ PI f) (+ 1/4 -1/4)))) (pow f 10))) (* (/ 1/737280 (pow f 10)) (/ (* (* (pow (exp -1/4) (/ PI f)) (pow PI 5)) (pow (exp -1/4) (/ PI f))) (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (/ (/ (* (* 1/24 PI) (pow (exp 1/4) (/ PI f))) (pow f 4)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* (/ 1/737280 (sqr (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (sqr (pow (exp 1/4) (/ PI f))) (pow PI 5)) (pow f 10))))))))) (+ (/ (* 4 (log f)) PI) (+ (+ (/ (* (* 1/368640 (pow PI 5)) (pow (exp -1/4) (/ PI f))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow f 10))) (* 1/2304 (+ (/ (/ (pow (exp -1/4) (/ PI f)) (/ (pow f 8) (cube PI))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (/ (/ (pow (exp 1/4) (/ PI f)) (/ (pow f 8) (cube PI))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))))) (+ (+ (/ (* (* 1/235929600 (pow PI 7)) (pow (exp 1/4) (/ PI f))) (* (pow f 12) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (/ (* (* 1/368640 (pow PI 5)) (pow (exp 1/4) (/ PI f))) (* (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (pow f 10)))) (+ (/ (/ (* (* 1/235929600 (pow PI 7)) (pow (exp -1/4) (/ PI f))) (pow f 12)) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) (* 4 (/ (log (/ (+ (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))) (+ (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f)))) PI)) PI)))))))