* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (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 (41 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * [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 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [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 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 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) 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 (- (* -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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 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) 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 (- (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI))))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 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))) (* 0 (/ 0 (/ 4 PI))))) 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 (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI 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 (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI 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]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 (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI 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 (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI 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]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 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]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 (* (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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]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 (* (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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [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 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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) 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 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 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) 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 (- (* -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 (pow PI 2)) (* 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) 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 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 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 (+ (* -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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 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) 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 (- (* 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) 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 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 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 (+ (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI))))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 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))) (* 0 (/ 0 (/ 4 PI))))) 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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 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 (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI 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]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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 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 (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI 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]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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 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 (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI 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]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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 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 (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI 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]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) * [misc]approximate: Taking taylor expansion of (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) in f * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) 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) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]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 (* (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 (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) in f * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) 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) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]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 (* (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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [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 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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 PI) (+ (* (/ -4 PI) (/ 0 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) 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 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 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) 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 (- (* -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 (pow PI 2)) (* 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 (pow PI 2)) * [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 (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ -4 PI) (* 1/48 (pow PI 2))) (+ (* 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) 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 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 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 (+ (* -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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 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) 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 (- (* 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 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) 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 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 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 (+ (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI))))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 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))) (* 0 (/ 0 (/ 4 PI))))) 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (pow PI 2))) (+ (* 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)) (pow f 2)) (* -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 (pow f 2))))) * [misc]approximate: Taking taylor expansion of (* (/ (- 4) PI) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))))) in f * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) 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) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 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 (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI 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]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 (* (/ (- 4) PI) (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))))) in f * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) 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) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 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 (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI 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]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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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 (* (/ (- 4) PI) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))))) in f * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) 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) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 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 (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI 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]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 (* (/ (- 4) PI) (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))))) in f * [misc]taylor: Taking taylor expansion of (/ (- 4) PI) in f * [misc]taylor: Taking taylor expansion of (- 4) 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) into -4 * [misc]backup-simplify: Simplify (- 4) into -4 * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 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 (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI 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]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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 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: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]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 (* (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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 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 (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* f (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* f (/ PI 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 (/ 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 (* 0 (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/4 PI))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]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 (* (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 (* (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 (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [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 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) 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 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 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) 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 (- (* -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 (pow PI 2)) (* 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 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [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 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* 1/4 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 (+ (* -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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 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) 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 (- (* 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) 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 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 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 (+ (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI))))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 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))) (* 0 (/ 0 (/ 4 PI))))) 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 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (* 1/48 (* (pow PI 2) (pow f 2))) (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 (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 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 (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI 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]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 (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 4)))) (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ 1 f) (/ PI 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 (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 f) (/ PI 4))) (exp (/ (- (/ 1 f)) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ PI 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 (/ 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 (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 f) (/ PI 4))) into (exp (* 1/4 (/ PI 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]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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 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 (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI 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]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 (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 4)))) (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ 1 (- f)) (/ PI 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 (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ 1 (- f)) (/ PI 4))) (exp (/ (- (/ 1 (- f))) (/ 4 PI)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ PI 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 (/ 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 (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- f)) (/ PI 4))) into (exp (* -1/4 (/ PI 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]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: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * * * * [misc]progress: [ 2 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp 1/4) (/ PI f)) (pow (exp -1/4) (/ PI f))))) (- (/ 4 PI))) * * * * [misc]progress: [ 3 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp -1/4) (/ PI f)) (pow (exp 1/4) (/ PI f))))) (- (/ 4 PI))) * * * * [misc]progress: [ 4 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (/ (log (- (+ (/ (/ 4 f) PI) (* 1/12 (* PI f))) (* (* f f) (* (* 1/2880 f) (pow PI 3))))) (/ PI (- 4))) * * * * [misc]progress: [ 5 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (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 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (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 (- 4))) * * * * [misc]progress: [ 6 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (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 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (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 (- 4))) * * * * [misc]progress: [ 7 / 178 ] 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 (pow f 2))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * * * [misc]progress: [ 8 / 178 ] 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 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (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))))) (/ -4 PI)) * * * * [misc]progress: [ 9 / 178 ] 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 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (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))))) (/ -4 PI)) * * * * [misc]progress: [ 10 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (+ (* 1/48 (* (pow PI 2) (pow f 2))) (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 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (* (* (* f PI) (* f PI)) 1/48) (- (- (log (/ 4 PI)) (log f)) (* (* 7/23040 (pow f 4)) (pow PI 4))))) * * * * [misc]progress: [ 11 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (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 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (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 (- 4))) * * * * [misc]progress: [ 12 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (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 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (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 (- 4))) * * * * [misc]progress: [ 13 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* f (/ PI 4)))) (exp (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 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 (exp (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (exp (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 14 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 16 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 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 (exp (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (exp (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 17 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 18 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (pow (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 3) * [exit]simplify: Simplified to (pow (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 3) * * * * [misc]progress: [ 19 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [enter]simplify: Simplifying (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 20 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* f (/ PI 4))) 3) (pow (exp (/ (- f) (/ 4 PI))) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 1 2)) (* (/ f 4) (- PI)))) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 1 2)) (* (/ f 4) (- PI)))) * [enter]simplify: Simplifying (+ (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (* (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (+ (+ (exp (* (+ f f) (/ PI 4))) 1) (pow (exp (- f)) (/ (+ PI PI) 4))) * [exit]simplify: Simplified to (+ (+ (exp (* (+ f f) (/ PI 4))) 1) (pow (exp (- f)) (/ (+ PI PI) 4))) * * * * [misc]progress: [ 21 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (exp (/ (- PI) (/ 4 f)))) * [exit]simplify: Simplified to (- (exp (/ (- PI) (/ 4 f)))) * * * * [misc]progress: [ 22 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (* (exp f) (exp f)) (/ (- PI) 4))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (* (exp f) (exp f)) (/ (- PI) 4))) * [enter]simplify: Simplifying (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 24 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 25 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) * [exit]simplify: Simplified to (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) * * * * [misc]progress: [ 26 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (log (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (- (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 28 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 29 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (exp (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (exp (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 30 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (* (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp PI) (/ f 4)) (exp (/ (- PI) (/ 4 f))))) 3) * * * * [misc]progress: [ 31 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 32 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 3) * * * * [misc]progress: [ 33 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 34 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)))) * [enter]simplify: Simplifying (- (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (- (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 35 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 36 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 37 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ 1 (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ 1 (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 38 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (/ (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (pow (exp f) (/ PI 4)))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (/ (+ (sqrt (exp (* (/ f 4) (- PI)))) (sqrt (pow (exp f) (/ PI 4)))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 39 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ 1 (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ 1 (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 40 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 41 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 42 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 43 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 44 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 45 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 46 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 47 / 178 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 48 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 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 (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 49 / 178 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 50 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 51 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 52 / 178 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 53 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 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 (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (* (- PI) (/ f 4)))) (sqrt (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 54 / 178 ] 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 (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 55 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ 1 (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 57 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 58 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 59 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 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 (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 60 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) 1) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 61 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 62 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) 1) * * [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 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 63 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (cbrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 64 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 65 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 66 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (/ (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 67 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (pow (exp (* f (/ PI 4))) 3) (pow (exp (/ (- f) (/ 4 PI))) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 2 1)) (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp PI) (/ f 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 2 1)) (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 68 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ 1 (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ 1 (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 69 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (+ (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (388 enodes) * [exit]simplify: Simplified to (* (- (+ (pow (exp (/ f 4)) (+ (- PI) (- PI))) (exp (* (/ f 4) (+ PI PI)))) 1) (- (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4))))) * [exit]simplify: Simplified to (* (- (+ (pow (exp (/ f 4)) (+ (- PI) (- PI))) (exp (* (/ f 4) (+ PI PI)))) 1) (- (pow (exp PI) (/ f 4)) (exp (* (- PI) (/ f 4))))) * * * * [misc]progress: [ 70 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))) (- (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (* (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 71 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 72 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- 4) PI)) (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (+ (log (- (/ 4 PI))) (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (+ (log (- (/ 4 PI))) (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * * * * [misc]progress: [ 74 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (log (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (log (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 75 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (pow (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI))) * * * * [misc]progress: [ 76 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- 4) PI) (/ (- 4) PI)) (/ (- 4) PI)) (* (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (* (* (/ (- 4) PI) (* (/ 4 PI) (/ 4 PI))) (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (* (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (* (* (* (/ (- 4) PI) (* (/ 4 PI) (/ 4 PI))) (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (* (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (log (/ (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * * * * [misc]progress: [ 77 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (cbrt (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (cbrt (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (/ 4 PI)))) (cbrt (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (/ 4 PI))))) * [exit]simplify: Simplified to (* (cbrt (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (/ 4 PI)))) (cbrt (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (/ 4 PI))))) * [enter]simplify: Simplifying (cbrt (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (/ PI (- 4)))) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (/ PI (- 4)))) * * * * [misc]progress: [ 78 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * [exit]simplify: Simplified to (pow (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (/ 4 PI))) 3) * [exit]simplify: Simplified to (pow (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (/ 4 PI))) 3) * * * * [misc]progress: [ 79 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (/ PI (- 4)))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (/ PI (- 4)))) * [enter]simplify: Simplifying (sqrt (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (/ PI (- 4)))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (/ PI (- 4)))) * * * * [misc]progress: [ 80 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) (/ (- 2) (/ PI 4))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) (/ (- 2) (/ PI 4))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 82 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 83 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (* (- 2) (/ 4 PI)) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (* (* (- 2) (/ 4 PI)) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 84 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (/ (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (/ (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 85 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) * * * * [misc]progress: [ 86 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (log (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (- PI) (/ f 4)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (- PI) (/ f 4)))))))) * * * * [misc]progress: [ 87 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) * * * * [misc]progress: [ 88 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 89 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 90 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) * * * * [misc]progress: [ 91 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (- PI) (/ f 4)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (- PI) (/ f 4)))))))) * * * * [misc]progress: [ 92 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))))) * * * * [misc]progress: [ 93 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 94 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 95 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 96 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (log (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (- PI) (/ f 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (- PI) (/ f 4)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 97 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 98 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 99 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 100 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 101 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (log (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (- PI) (/ f 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (- PI) (/ f 4)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ PI (- 4))) * * * * [misc]progress: [ 102 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 103 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log 1)) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log 1)) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 104 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (log (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ 1 (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)) * * * * [misc]progress: [ 105 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (pow (exp (* f (/ PI 4))) 3) (pow (exp (/ (- f) (/ 4 PI))) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 2 1)) (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (+ 2 1)) (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (+ (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (* (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (log (+ (+ (exp (/ (+ PI PI) (/ 4 f))) 1) (pow (exp (- PI)) (/ (+ f f) 4)))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (+ (+ (exp (/ (+ PI PI) (/ 4 f))) 1) (pow (exp (- PI)) (/ (+ f f) 4)))) (/ PI (- 4))) * * * * [misc]progress: [ 106 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (log (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (- (/ 4 PI))) * * * * [misc]progress: [ 107 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (* (/ 4 PI) (- 2)) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * [exit]simplify: Simplified to (* (* (/ 4 PI) (- 2)) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * [enter]simplify: Simplifying (* (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 108 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 109 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (* (- 2) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (* (- 2) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 110 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 111 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1)) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4))) * * * * [misc]progress: [ 112 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (* (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4))))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4))))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ (- 4) PI)) * * * * [misc]progress: [ 113 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1)) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4))) * * * * [misc]progress: [ 114 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 115 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 116 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4))) * * * * [misc]progress: [ 117 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) (/ PI (- 4))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ (- 4) PI)) * * * * [misc]progress: [ 118 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ PI (- 4))) * * * * [misc]progress: [ 119 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI (- 4))) * * * * [misc]progress: [ 120 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI (- 4))) * * * * [misc]progress: [ 121 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 122 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (pow (exp f) (/ PI 4))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (pow (exp f) (/ PI 4))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 123 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 124 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI (- 4))) * * * * [misc]progress: [ 125 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI (- 4))) * * * * [misc]progress: [ 126 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 127 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (pow (exp f) (/ PI 4))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (pow (exp f) (/ PI 4))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 128 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 129 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 130 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (log (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ 1 (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)) * * * * [misc]progress: [ 131 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (pow (exp (* f (/ PI 4))) 3) (pow (exp (/ (- f) (/ 4 PI))) 3)))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ f 4)) (* (+ 2 1) (- PI)))))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ f 4)) (* (+ 2 1) (- PI)))))) (/ (- 4) PI)) * [enter]simplify: Simplifying (* (log (+ (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (* (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (* (log (+ (+ (exp (* (+ f f) (/ PI 4))) 1) (pow (exp (- f)) (/ (+ PI PI) 4)))) (/ (- 4) PI)) * [exit]simplify: Simplified to (* (log (+ (+ (exp (* (+ f f) (/ PI 4))) 1) (pow (exp (- f)) (/ (+ PI PI) 4)))) (/ (- 4) PI)) * * * * [misc]progress: [ 132 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (log (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) (- (/ 4 PI))) * * * * [misc]progress: [ 133 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 134 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 135 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (* (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (- (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))) * [exit]simplify: Simplified to (* (- (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4))) * * * * [misc]progress: [ 136 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 137 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 138 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 4) PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (- (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (- (/ 4 PI)))) * * * * [misc]progress: [ 139 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (- 4) PI)) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (- (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (sqrt (- (/ 4 PI)))) * * * * [misc]progress: [ 140 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 141 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) PI) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) PI) * * * * [misc]progress: [ 142 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 4) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))))) (- 4)) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))))) (- 4)) * * * * [misc]progress: [ 143 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * [exit]simplify: Simplified to (log (* (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 145 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 146 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (log (* (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 147 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 148 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 149 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 150 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (- (log (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 151 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (* (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 152 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 153 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 154 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 155 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 156 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- 2)) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- 2)) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 157 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (- (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 158 / 178 ] 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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 159 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) * * [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 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 160 / 178 ] 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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 161 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- 2)) * [exit]simplify: Simplified to (* (log (cbrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (- 2)) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (cbrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (cbrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 162 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (- (log (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (sqrt (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 163 / 178 ] 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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 164 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) * * [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 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (pow (exp f) (/ PI 4))) (sqrt (exp (* (/ f 4) (- PI))))))) * * * * [misc]progress: [ 165 / 178 ] 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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 166 / 178 ] 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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 167 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (/ 1 (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [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 (53 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (- (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 168 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (pow (exp (* f (/ PI 4))) 3) (pow (exp (/ (- f) (/ 4 PI))) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ f 4)) (* (- PI) (+ 2 1)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ f 4)) (* (- PI) (+ 2 1)))))) * [enter]simplify: Simplifying (log (+ (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (+ (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))) (* (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (log (+ (+ 1 (exp (* (/ PI 4) (+ f f)))) (pow (exp (- PI)) (/ (+ f f) 4)))) * [exit]simplify: Simplified to (log (+ (+ 1 (exp (* (/ PI 4) (+ f f)))) (pow (exp (- PI)) (/ (+ f f) 4)))) * * * * [misc]progress: [ 169 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (* (exp (* f (/ PI 4))) (exp (* f (/ PI 4)))) (* (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (- (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (- (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (log (+ (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) * [exit]simplify: Simplified to (log (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) * * * * [misc]progress: [ 170 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (log (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) * * * * [misc]progress: [ 171 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) * * * * [misc]progress: [ 172 / 178 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 174 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 175 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 176 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) 3) * * * * [misc]progress: [ 177 / 178 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * * * * [misc]progress: [ 178 / 178 ] 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 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [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]taylor: Taking taylor expansion of (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [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) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (log f) (- (log (/ 4 PI)))) into (- (log f) (log (/ 4 PI))) * [misc]backup-simplify: Simplify (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log f) (log (/ 4 PI))) 0) (* 0 (/ 4 PI))) into 0 * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log f) (log (/ 4 PI))) 0) (+ (* 0 0) (* 0 (/ 4 PI)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log f) (log (/ 4 PI))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI))))) 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)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 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 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log f) (log (/ 4 PI))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI)))))) 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)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log f) (log (/ 4 PI))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI))))))) 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)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log f) (log (/ 4 PI))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) into (* 4 (/ (- (log f) (log (/ 4 PI))) PI)) * [misc]approximate: Taking taylor expansion of (* (- (log (/ 1 f)) (log (/ 4 PI))) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (log (/ 1 f)) (log (/ 4 PI))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [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]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [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]taylor: Taking taylor expansion of (* (- (log (/ 1 f)) (log (/ 4 PI))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [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]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [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) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (- (log f)) (- (log (/ 4 PI)))) into (- (+ (log f) (log (/ 4 PI)))) * [misc]backup-simplify: Simplify (* (- (+ (log f) (log (/ 4 PI)))) (/ 4 PI)) into (* -4 (/ (+ (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log f) (log (/ 4 PI))) PI)) into (* -4 (/ (+ (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (log f) (log (/ 4 PI)))) 0) (* 0 (/ 4 PI))) into 0 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (* 0 (/ 4 PI)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI))))) 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)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 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 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI)))))) 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)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI))))))) 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)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -4 (/ (+ (log f) (log (/ 4 PI))) PI)) into (* -4 (/ (+ (log f) (log (/ 4 PI))) PI)) * [misc]approximate: Taking taylor expansion of (* (- (log (/ 1 (- f))) (log (/ 4 PI))) (/ 4 PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (- (log (/ 1 (- f))) (log (/ 4 PI))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [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]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [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]taylor: Taking taylor expansion of (* (- (log (/ 1 (- f))) (log (/ 4 PI))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [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]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [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) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (- (log (/ 4 PI)))) into (- (log -1) (+ (log f) (log (/ 4 PI)))) * [misc]backup-simplify: Simplify (* (- (log -1) (+ (log f) (log (/ 4 PI)))) (/ 4 PI)) into (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI)) into (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (+ (log f) (log (/ 4 PI)))) 0) (* 0 (/ 4 PI))) into 0 * [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) 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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (* 0 (/ 4 PI)))) 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI))))) 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)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 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 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI)))))) 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)) (* 0 (/ 0 PI)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI))))))) 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)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (+ (log f) (log (/ 4 PI)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 4 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI)) into (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (* PI 1/12) (* f f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI 1/12) (* f f)) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* PI 1/12) (* f f)) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 1/12) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/12)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 1) (+ (* 0 0) (* 0 0))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (pow f 2)) into (* 1/12 (* PI (pow f 2))) * [misc]approximate: Taking taylor expansion of (* (* PI 1/12) (* (/ 1 f) (/ 1 f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI 1/12) (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 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 (/ 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 (* (* PI 1/12) (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 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 (/ 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 (* PI 1/12) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/12 PI) 1) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/12)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (pow (/ 1 (/ 1 f)) 2)) into (* 1/12 (* PI (pow f 2))) * [misc]approximate: Taking taylor expansion of (* (* PI 1/12) (* (/ 1 (- f)) (/ 1 (- f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI 1/12) (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 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 (/ 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 (* (* PI 1/12) (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 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 (/ 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 (* PI 1/12) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/12 PI) 1) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/12)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (pow (/ 1 (/ 1 (- f))) 2)) into (* 1/12 (* PI (pow f 2))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (+ (- (* (pow f 4) (* (* PI 7/5760) (* PI PI))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (+ (- (* (pow f 4) (* (* PI 7/5760) (* PI PI))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (+ (- (* (pow f 4) (* (* PI 7/5760) (* PI PI))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (+ (- (* (pow f 4) (* (* PI 7/5760) (* PI PI))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (+ (- (* (pow f 4) (* (* PI 7/5760) (* PI PI))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (+ (- (* (pow f 4) (* (* PI 7/5760) (* PI PI))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* -4 (/ (+ (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (+ (* (+ (log f) (log (/ 4 PI))) (/ -4 PI)) (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f)))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (- (log -1) (log f)) (log (/ 4 PI))))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* 1/12 (* PI (pow f 2)))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (- (* (* (* PI PI) (pow f 4)) (* PI 7/5760)) (* (* 1/12 PI) (* f f)))) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* 1/12 (* PI (pow f 2)))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (- (* (* (* PI PI) (pow f 4)) (* PI 7/5760)) (* (* 1/12 PI) (* f f)))) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* 1/12 (* PI (pow f 2)))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (- (* (* (* PI PI) (pow f 4)) (* PI 7/5760)) (* (* 1/12 PI) (* f f)))) * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (log (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * * * * [misc]progress: [ 15 / 72 ] 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 (/ 4 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log (/ 1 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log PI)) * [exit]simplify: Simplified to (- (log PI)) * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log PI) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log PI) * [exit]simplify: Simplified to (log PI) * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 4 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (/ 4 PI))) * [exit]simplify: Simplified to (log (log (/ 4 PI))) * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [enter]simplify: Simplifying (cbrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (log (/ 4 PI))) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ 4 PI)) (log (/ 4 PI))) (log (/ 4 PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 1/12 PI)) * [exit]simplify: Simplified to (log (* 1/12 PI)) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/12 PI)) * [exit]simplify: Simplified to (exp (* 1/12 PI)) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI 1/12)) (cbrt (* PI 1/12))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/12 PI)) (cbrt (* 1/12 PI))) * [exit]simplify: Simplified to (* (cbrt (* 1/12 PI)) (cbrt (* 1/12 PI))) * [enter]simplify: Simplifying (cbrt (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 PI)) * [exit]simplify: Simplified to (cbrt (* 1/12 PI)) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI 1/12) (* PI 1/12)) (* PI 1/12)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (pow (* 1/12 PI) 3) * [exit]simplify: Simplified to (pow (* 1/12 PI) 3) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/12 PI)) * [exit]simplify: Simplified to (sqrt (* 1/12 PI)) * [enter]simplify: Simplifying (sqrt (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/12 PI)) * [exit]simplify: Simplified to (sqrt (* 1/12 PI)) * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (log f) (log (/ 4 PI)))) (log (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (log (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (log (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (pow (/ f (/ 4 PI)) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ f (/ 4 PI)) (/ 4 PI)) * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (- (log f) (log (/ 4 PI)))) (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (* (* (- (log f) (log (/ 4 PI))) (- (log f) (log (/ 4 PI)))) (* (pow (/ 4 PI) 3) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) * [exit]simplify: Simplified to (* (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI)))))) * [enter]simplify: Simplifying (cbrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (cbrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) 3) * [exit]simplify: Simplified to (pow (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) 3) * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [enter]simplify: Simplifying (sqrt (* (- (log f) (log (/ 4 PI))) (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (sqrt (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)) 4) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (* (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)) 4) * [exit]simplify: Simplified to (* (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)) 4) * [enter]simplify: Simplifying (* (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI))))) PI) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (+ (* (+ (log (/ 4 PI)) (log f)) (* PI (log (/ 4 PI)))) (* (* (log f) (log f)) PI)) * [exit]simplify: Simplified to (+ (* (+ (log (/ 4 PI)) (log f)) (* PI (log (/ 4 PI)))) (* (* (log f) (log f)) PI)) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI)))) 4) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (* 4 (- (log f) (log (/ 4 PI)))) (+ (log (/ 4 PI)) (log f))) * [exit]simplify: Simplified to (* (* 4 (- (log f) (log (/ 4 PI)))) (+ (log (/ 4 PI)) (log f))) * [enter]simplify: Simplifying (* (+ (log f) (log (/ 4 PI))) PI) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* PI (+ (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* PI (+ (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- (log f) (log (/ 4 PI))) * [exit]simplify: Simplified to (- (log f) (log (/ 4 PI))) * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 4 (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* 4 (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (cbrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (sqrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqrt (log f)) (sqrt (log (/ 4 PI)))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (- (sqrt (log f)) (sqrt (log (/ 4 PI)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (- (sqrt (log f)) (sqrt (log (/ 4 PI)))) (/ 4 PI)) * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) 4) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 4 (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* 4 (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ (* (log f) (log f)) (/ (/ PI 4) (log f))) (/ (* (log (/ 4 PI)) (log (/ 4 PI))) (/ (/ PI 4) (log (/ 4 PI))))) * [exit]simplify: Simplified to (- (/ (* (log f) (log f)) (/ (/ PI 4) (log f))) (/ (* (log (/ 4 PI)) (log (/ 4 PI))) (/ (/ PI 4) (log (/ 4 PI))))) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI)))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (* (+ (log (/ 4 PI)) (log f)) (/ 4 PI))) * [exit]simplify: Simplified to (* (- (log f) (log (/ 4 PI))) (* (+ (log (/ 4 PI)) (log f)) (/ 4 PI))) * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI 1/12) (* f f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (* f 1/12) (* f PI)) * [exit]simplify: Simplified to (* (* f 1/12) (* f PI)) * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* PI 1/12)) (log (* f f))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (log (* f f)) (log (* 1/12 PI))) * [exit]simplify: Simplified to (+ (log (* f f)) (log (* 1/12 PI))) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (* (* 1/12 PI) (* f f))) * [exit]simplify: Simplified to (log (* (* 1/12 PI) (* f f))) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (* (* f 1/12) (* f PI))) * [exit]simplify: Simplified to (exp (* (* f 1/12) (* f PI))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* PI 1/12) (* PI 1/12)) (* PI 1/12)) (* (* (* f f) (* f f)) (* f f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (pow (* f f) 3) (pow (* 1/12 PI) 3)) * [exit]simplify: Simplified to (* (pow (* f f) 3) (pow (* 1/12 PI) 3)) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* PI 1/12) (* f f))) (cbrt (* (* PI 1/12) (* f f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* f PI) (* f 1/12))) (cbrt (* (* f PI) (* f 1/12)))) * [exit]simplify: Simplified to (* (cbrt (* (* f PI) (* f 1/12))) (cbrt (* (* f PI) (* f 1/12)))) * [enter]simplify: Simplifying (cbrt (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (* (* 1/12 PI) (* f f))) * [exit]simplify: Simplified to (cbrt (* (* 1/12 PI) (* f f))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* PI 1/12) (* f f)) (* (* PI 1/12) (* f f))) (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (pow (* (* f PI) (* f 1/12)) 3) * [exit]simplify: Simplified to (pow (* (* f PI) (* f 1/12)) 3) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (* (* 1/12 PI) (* f f))) * [exit]simplify: Simplified to (sqrt (* (* 1/12 PI) (* f f))) * [enter]simplify: Simplifying (sqrt (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (* (* 1/12 PI) (* f f))) * [exit]simplify: Simplified to (sqrt (* (* 1/12 PI) (* f f))) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI 1/12) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (* f 1/12) PI) * [exit]simplify: Simplified to (* (* f 1/12) PI) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* 1/12 (* f f)) * [exit]simplify: Simplified to (* 1/12 (* f f)) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (* PI 1/12) (* f f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI 1/12) (* f f)) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* PI 1/12) (* f f)) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 1/12) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/12)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 1) (+ (* 0 0) (* 0 0))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (pow f 2)) into (* 1/12 (* PI (pow f 2))) * [misc]approximate: Taking taylor expansion of (* (* PI 1/12) (* (/ 1 f) (/ 1 f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI 1/12) (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 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 (/ 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 (* (* PI 1/12) (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 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 (/ 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 (* PI 1/12) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/12 PI) 1) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/12)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (pow (/ 1 (/ 1 f)) 2)) into (* 1/12 (* PI (pow f 2))) * [misc]approximate: Taking taylor expansion of (* (* PI 1/12) (* (/ 1 (- f)) (/ 1 (- f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (* PI 1/12) (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 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 (/ 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 (* (* PI 1/12) (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI 1/12) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 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 (/ 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 (* PI 1/12) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (* 1/12 PI) 1) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/12)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/12))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/12))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/12 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (pow (/ 1 (/ 1 (- f))) 2)) into (* 1/12 (* PI (pow f 2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (- (log f) (log (/ 4 PI))) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (log f) (log (/ 4 PI))) PI) in f * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (log f) (- (log (/ 4 PI)))) into (- (log f) (log (/ 4 PI))) * [misc]backup-simplify: Simplify (/ (- (log f) (log (/ 4 PI))) PI) into (/ (- (log f) (log (/ 4 PI))) PI) * [misc]taylor: Taking taylor expansion of (/ (- (log f) (log (/ 4 PI))) PI) in f * [misc]taylor: Taking taylor expansion of (- (log f) (log (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (log f) (- (log (/ 4 PI)))) into (- (log f) (log (/ 4 PI))) * [misc]backup-simplify: Simplify (/ (- (log f) (log (/ 4 PI))) PI) into (/ (- (log f) (log (/ 4 PI))) PI) * [misc]backup-simplify: Simplify (/ (- (log f) (log (/ 4 PI))) PI) into (/ (- (log f) (log (/ 4 PI))) PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log f) (log (/ 4 PI))) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log f) (log (/ 4 PI))) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log f) (log (/ 4 PI))) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 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 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log f) (log (/ 4 PI))) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log f) (log (/ 4 PI))) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log f) (log (/ 4 PI))) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (log f) (log (/ 4 PI))) PI) into (/ (- (log f) (log (/ 4 PI))) PI) * [misc]approximate: Taking taylor expansion of (/ (- (log (/ 1 f)) (log (/ 4 PI))) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 f)) (log (/ 4 PI))) PI) in f * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [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]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (- (log f)) (- (log (/ 4 PI)))) into (- (+ (log f) (log (/ 4 PI)))) * [misc]backup-simplify: Simplify (/ (- (+ (log f) (log (/ 4 PI)))) PI) into (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 f)) (log (/ 4 PI))) PI) in f * [misc]taylor: Taking taylor expansion of (- (log (/ 1 f)) (log (/ 4 PI))) in f * [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]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (- (log f)) (- (log (/ 4 PI)))) into (- (+ (log f) (log (/ 4 PI)))) * [misc]backup-simplify: Simplify (/ (- (+ (log f) (log (/ 4 PI)))) PI) into (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) * [misc]backup-simplify: Simplify (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) into (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) * [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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 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 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) into (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)) * [misc]approximate: Taking taylor expansion of (/ (- (log (/ 1 (- f))) (log (/ 4 PI))) PI) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 (- f))) (log (/ 4 PI))) PI) in f * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [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]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (- (log (/ 4 PI)))) into (- (log -1) (+ (log f) (log (/ 4 PI)))) * [misc]backup-simplify: Simplify (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) into (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) * [misc]taylor: Taking taylor expansion of (/ (- (log (/ 1 (- f))) (log (/ 4 PI))) PI) in f * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (- f))) (log (/ 4 PI))) in f * [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]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [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 (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI))) into (- (log (/ 4 PI))) * [misc]backup-simplify: Simplify (+ (- (log -1) (log f)) (- (log (/ 4 PI)))) into (- (log -1) (+ (log f) (log (/ 4 PI)))) * [misc]backup-simplify: Simplify (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) into (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) * [misc]backup-simplify: Simplify (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) into (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) * [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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 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 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ 4 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ 4 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ 4 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ 4 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ 4 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ 4 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ 4 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ 4 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ 4 PI) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) into (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 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 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 2 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 3 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 4 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 5 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 6 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 7 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* 1/12 (* PI (pow f 2)))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* f f) (* 1/12 PI)))) * * * * [misc]progress: [ 8 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* 1/12 (* PI (pow f 2)))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* f f) (* 1/12 PI)))) * * * * [misc]progress: [ 9 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* 1/12 (* PI (pow f 2)))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (+ (* (/ 4 PI) (- (log f) (log (/ 4 PI)))) (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* f f) (* 1/12 PI)))) * * * * [misc]progress: [ 10 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 11 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (* -1 (/ (+ (log f) (log (/ 4 PI))) PI)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (+ (* (+ (log f) (log (/ 4 PI))) (/ (- 4) PI)) (- (* (* (* PI PI) (pow f 4)) (* PI 7/5760)) (* (* PI f) (* 1/12 f)))) * * * * [misc]progress: [ 12 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (* (* (pow f 4) (* PI 7/5760)) (* PI PI)) (* (* PI 1/12) (* f f))) (* 4 (/ (- (log -1) (+ (log f) (log (/ 4 PI)))) PI))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI PI) (* (pow f 4) (* PI 7/5760))) (* (* 1/12 f) (* PI f))) (* (/ 4 PI) (- (- (log -1) (log f)) (log (/ 4 PI))))) * * * * [misc]progress: [ 13 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [enter]simplify: Simplifying (log (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * [exit]simplify: Simplified to (log (cbrt (/ 4 PI))) * * * * [misc]progress: [ 14 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * * * * [misc]progress: [ 15 / 65 ] 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 (/ 4 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 16 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log (/ 1 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log PI)) * [exit]simplify: Simplified to (- (log PI)) * * * * [misc]progress: [ 17 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [exit]simplify: Simplified to (log 4) * [enter]simplify: Simplifying (log PI) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log PI) * [exit]simplify: Simplified to (log PI) * * * * [misc]progress: [ 18 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 4 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (/ 4 PI)) * [exit]simplify: Simplified to (log (/ 4 PI)) * * * * [misc]progress: [ 19 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (/ 4 PI))) * [exit]simplify: Simplified to (log (log (/ 4 PI))) * * * * [misc]progress: [ 21 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 22 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (cbrt (log (/ 4 PI))) (cbrt (log (/ 4 PI)))) * [enter]simplify: Simplifying (cbrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (/ 4 PI))) * [exit]simplify: Simplified to (cbrt (log (/ 4 PI))) * * * * [misc]progress: [ 23 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ 4 PI)) (log (/ 4 PI))) (log (/ 4 PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * [exit]simplify: Simplified to (pow (log (/ 4 PI)) 3) * * * * [misc]progress: [ 24 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [enter]simplify: Simplifying (sqrt (log (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * [exit]simplify: Simplified to (sqrt (log (/ 4 PI))) * * * * [misc]progress: [ 25 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* 1/12 PI)) * [exit]simplify: Simplified to (log (* 1/12 PI)) * * * * [misc]progress: [ 28 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/12 PI)) * [exit]simplify: Simplified to (exp (* 1/12 PI)) * * * * [misc]progress: [ 29 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI 1/12)) (cbrt (* PI 1/12))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/12 PI)) (cbrt (* 1/12 PI))) * [exit]simplify: Simplified to (* (cbrt (* 1/12 PI)) (cbrt (* 1/12 PI))) * [enter]simplify: Simplifying (cbrt (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/12 PI)) * [exit]simplify: Simplified to (cbrt (* 1/12 PI)) * * * * [misc]progress: [ 30 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI 1/12) (* PI 1/12)) (* PI 1/12)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (pow (* 1/12 PI) 3) * [exit]simplify: Simplified to (pow (* 1/12 PI) 3) * * * * [misc]progress: [ 31 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/12 PI)) * [exit]simplify: Simplified to (sqrt (* 1/12 PI)) * [enter]simplify: Simplifying (sqrt (* PI 1/12)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/12 PI)) * [exit]simplify: Simplified to (sqrt (* 1/12 PI)) * * * * [misc]progress: [ 32 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI 1/12) (* f f)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (* f 1/12) (* f PI)) * [exit]simplify: Simplified to (* (* f 1/12) (* f PI)) * * * * [misc]progress: [ 35 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* PI 1/12)) (log (* f f))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (log (* f f)) (log (* 1/12 PI))) * [exit]simplify: Simplified to (+ (log (* f f)) (log (* 1/12 PI))) * * * * [misc]progress: [ 37 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (* (* 1/12 PI) (* f f))) * [exit]simplify: Simplified to (log (* (* 1/12 PI) (* f f))) * * * * [misc]progress: [ 38 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (* (* f 1/12) (* f PI))) * [exit]simplify: Simplified to (exp (* (* f 1/12) (* f PI))) * * * * [misc]progress: [ 39 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* PI 1/12) (* PI 1/12)) (* PI 1/12)) (* (* (* f f) (* f f)) (* f f))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (pow (* f f) 3) (pow (* 1/12 PI) 3)) * [exit]simplify: Simplified to (* (pow (* f f) 3) (pow (* 1/12 PI) 3)) * * * * [misc]progress: [ 40 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* PI 1/12) (* f f))) (cbrt (* (* PI 1/12) (* f f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* f PI) (* f 1/12))) (cbrt (* (* f PI) (* f 1/12)))) * [exit]simplify: Simplified to (* (cbrt (* (* f PI) (* f 1/12))) (cbrt (* (* f PI) (* f 1/12)))) * [enter]simplify: Simplifying (cbrt (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (cbrt (* (* 1/12 PI) (* f f))) * [exit]simplify: Simplified to (cbrt (* (* 1/12 PI) (* f f))) * * * * [misc]progress: [ 41 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* PI 1/12) (* f f)) (* (* PI 1/12) (* f f))) (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (pow (* (* f PI) (* f 1/12)) 3) * [exit]simplify: Simplified to (pow (* (* f PI) (* f 1/12)) 3) * * * * [misc]progress: [ 42 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (* (* 1/12 PI) (* f f))) * [exit]simplify: Simplified to (sqrt (* (* 1/12 PI) (* f f))) * [enter]simplify: Simplifying (sqrt (* (* PI 1/12) (* f f))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (* (* 1/12 PI) (* f f))) * [exit]simplify: Simplified to (sqrt (* (* 1/12 PI) (* f f))) * * * * [misc]progress: [ 43 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI 1/12) f) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (* f 1/12) PI) * [exit]simplify: Simplified to (* (* f 1/12) PI) * * * * [misc]progress: [ 45 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f f)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* 1/12 (* f f)) * [exit]simplify: Simplified to (* 1/12 (* f f)) * * * * [misc]progress: [ 46 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (log f) (log (/ 4 PI))) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (log (/ (- (log f) (log (/ 4 PI))) PI)) * [exit]simplify: Simplified to (log (/ (- (log f) (log (/ 4 PI))) PI)) * * * * [misc]progress: [ 49 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (log f) (log (/ 4 PI))) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (/ (- (log f) (log (/ 4 PI))) PI)) * [exit]simplify: Simplified to (exp (/ (- (log f) (log (/ 4 PI))) PI)) * * * * [misc]progress: [ 50 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (log f) (log (/ 4 PI))) PI)) (cbrt (/ (- (log f) (log (/ 4 PI))) PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (log f) (log (/ 4 PI))) PI)) (cbrt (/ (- (log f) (log (/ 4 PI))) PI))) * [exit]simplify: Simplified to (* (cbrt (/ (- (log f) (log (/ 4 PI))) PI)) (cbrt (/ (- (log f) (log (/ 4 PI))) PI))) * [enter]simplify: Simplifying (cbrt (/ (- (log f) (log (/ 4 PI))) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (log f) (log (/ 4 PI))) PI)) * [exit]simplify: Simplified to (cbrt (/ (- (log f) (log (/ 4 PI))) PI)) * * * * [misc]progress: [ 51 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (log f) (log (/ 4 PI))) PI) (/ (- (log f) (log (/ 4 PI))) PI)) (/ (- (log f) (log (/ 4 PI))) PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (pow (/ (- (log f) (log (/ 4 PI))) PI) 3) * [exit]simplify: Simplified to (pow (/ (- (log f) (log (/ 4 PI))) PI) 3) * * * * [misc]progress: [ 52 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (log f) (log (/ 4 PI))) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (log f) (log (/ 4 PI))) PI)) * [exit]simplify: Simplified to (sqrt (/ (- (log f) (log (/ 4 PI))) PI)) * [enter]simplify: Simplifying (sqrt (/ (- (log f) (log (/ 4 PI))) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (log f) (log (/ 4 PI))) PI)) * [exit]simplify: Simplified to (sqrt (/ (- (log f) (log (/ 4 PI))) PI)) * * * * [misc]progress: [ 53 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (- (- (log f) (log (/ 4 PI)))) * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * * * * [misc]progress: [ 54 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log f) PI) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (log f) PI) * [exit]simplify: Simplified to (/ (log f) PI) * [enter]simplify: Simplifying (/ (log (/ 4 PI)) PI) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (log (/ 4 PI)) PI) * [exit]simplify: Simplified to (/ (log (/ 4 PI)) PI) * * * * [misc]progress: [ 55 / 65 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [exit]simplify: Simplified to (/ 1 PI) * * * * [misc]progress: [ 57 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ PI (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (/ PI (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 58 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (cbrt (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ PI (cbrt (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (/ PI (cbrt (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 59 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- (log f) (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- (log f) (log (/ 4 PI))))) * [exit]simplify: Simplified to (/ PI (sqrt (- (log f) (log (/ 4 PI))))) * * * * [misc]progress: [ 60 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ PI (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (/ PI (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 61 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (sqrt (log f)) (sqrt (log (/ 4 PI))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ PI (- (sqrt (log f)) (sqrt (log (/ 4 PI))))) * [exit]simplify: Simplified to (/ PI (- (sqrt (log f)) (sqrt (log (/ 4 PI))))) * * * * [misc]progress: [ 62 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ PI (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (/ PI (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 63 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ PI (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (/ PI (- (log f) (log (/ 4 PI)))) * * * * [misc]progress: [ 64 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (+ (* (log f) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (log f) (log (/ 4 PI)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (+ (* (* PI (log f)) (log f)) (* (+ (log f) (log (/ 4 PI))) (* PI (log (/ 4 PI))))) * [exit]simplify: Simplified to (+ (* (* PI (log f)) (log f)) (* (+ (log f) (log (/ 4 PI))) (* PI (log (/ 4 PI))))) * * * * [misc]progress: [ 65 / 65 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (+ (log f) (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* PI (+ (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* PI (+ (log f) (log (/ 4 PI)))) * * * [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 (/ (log f) PI) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (log f) PI) * [exit]simplify: Simplified to (/ (log f) PI) * [enter]simplify: Simplifying (/ (log (/ 4 PI)) PI) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (log (/ 4 PI)) PI) * [exit]simplify: Simplified to (/ (log (/ 4 PI)) PI) * [enter]simplify: Simplifying (* (/ (- 4) PI) (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 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (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 (- 4))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (+ (+ (* (* f 1/2) PI) (* (* (* f f) (* PI f)) (* 1/192 (* PI PI)))) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (- (pow (log f) 3) (pow (log (/ 4 PI)) 3)) (/ 4 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ (* (log f) (log f)) (/ (/ PI 4) (log f))) (/ (* (log (/ 4 PI)) (log (/ 4 PI))) (/ (/ PI 4) (log (/ 4 PI))))) * [exit]simplify: Simplified to (- (/ (* (log f) (log f)) (/ (/ PI 4) (log f))) (/ (* (log (/ 4 PI)) (log (/ 4 PI))) (/ (/ PI 4) (log (/ 4 PI))))) * [enter]simplify: Simplifying (* (cbrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * [exit]simplify: Simplified to (* (cbrt (- (log f) (log (/ 4 PI)))) (/ 4 PI)) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))) (- (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f)))))))) * [enter]simplify: Simplifying (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (/ (- f) (/ 4 PI))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (- (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))))) * [enter]simplify: Simplifying (* (+ (log (/ 4 PI)) (log f)) (* PI (log (/ 4 PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (* (log (/ 4 PI)) PI) (+ (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (* (log (/ 4 PI)) PI) (+ (log f) (log (/ 4 PI)))) * [enter]simplify: Simplifying (* (* (log f) (log f)) PI) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (* (log f) (log f)) PI) * [exit]simplify: Simplified to (* (* (log f) (log f)) PI) * [enter]simplify: Simplifying (* (- (* (log f) (log f)) (* (log (/ 4 PI)) (log (/ 4 PI)))) 4) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (* 4 (- (log f) (log (/ 4 PI)))) (+ (log (/ 4 PI)) (log f))) * [exit]simplify: Simplified to (* (* 4 (- (log f) (log (/ 4 PI)))) (+ (log (/ 4 PI)) (log f))) * [enter]simplify: Simplifying (* (+ (log f) (log (/ 4 PI))) PI) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* PI (+ (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* PI (+ (log f) (log (/ 4 PI)))) * [enter]simplify: Simplifying (* (- (log f) (log (/ 4 PI))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI)))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (- (log f) (log (/ 4 PI))))