* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* (/ 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 (43 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) into (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) into (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2880 (pow PI 3))) (pow f 3)) (+ (* (* 1/12 PI) f) (* (/ 4 PI) (/ 1 f)))) into (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3)))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f))))))) into (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))) into (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (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 (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))))) into (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) into (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/48 (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (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 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (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 (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 f)))) into (exp (- (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (- (exp (- (* 1/4 (/ PI f))))) into (- (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (- (exp (- (* 1/4 (/ PI f)))))) into (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) into (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) into (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) into (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (+ (* (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))) (* 0 (/ 0 (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) (- (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f)))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 f)))))) (- (exp (* 1/4 (/ PI (/ 1 f)))) (exp (- (* 1/4 (/ PI (/ 1 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 (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (- (* (/ PI 4) (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (- (exp (* 1/4 (/ PI f)))) into (- (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (- (exp (* 1/4 (/ PI f))))) into (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) into (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (+ (* (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 0 (/ 0 (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 (/ (log (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (- (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- 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: simplifying candidates * * * * [misc]progress: [ 1 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (expm1 (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (expm1 (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 2 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (log1p (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log1p (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 3 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 4 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 5 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 6 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 7 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 9 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (exp (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 10 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 11 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (pow (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) 3) * [exit]simplify: Simplified to (pow (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) 3) * * * * [misc]progress: [ 12 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 13 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [exit]simplify: Simplified to (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [enter]simplify: Simplifying (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1)) * [exit]simplify: Simplified to (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1)) * * * * [misc]progress: [ 14 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 15 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (- (+ f f)))) * [enter]simplify: Simplifying (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 17 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))) * [exit]simplify: Simplified to (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))) * [enter]simplify: Simplifying (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 18 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * [exit]simplify: Simplified to (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) * * * * [misc]progress: [ 19 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * [exit]simplify: Simplified to (/ (- 1) (pow (exp f) (/ PI 4))) * * * * [misc]progress: [ 20 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (expm1 (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 21 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (log1p (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log1p (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 22 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 24 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 25 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (exp (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 26 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) 3) * * * * [misc]progress: [ 27 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 28 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 3) * * * * [misc]progress: [ 29 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (sqrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 30 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (- (- (exp (/ (- PI) (/ 4 f)))) (exp (* (/ PI 4) f))) * [exit]simplify: Simplified to (- (- (exp (/ (- PI) (/ 4 f)))) (exp (* (/ PI 4) f))) * [enter]simplify: Simplifying (- (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (- (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) * [exit]simplify: Simplified to (- (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))) * * * * [misc]progress: [ 31 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 32 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 33 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 34 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 35 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ 1 (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 36 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 37 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 38 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 39 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* (/ PI 4) f))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* (/ PI 4) f))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 40 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 41 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 42 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 43 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 44 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 45 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 46 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 47 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 48 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 49 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ PI (/ 4 f)))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 50 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 51 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) * [exit]simplify: Simplified to (/ 1 (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f))))) * * * * [misc]progress: [ 53 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 54 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 55 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 56 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 57 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 58 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) 1) * * * * [misc]progress: [ 59 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 60 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (/ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 61 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 62 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (/ (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 63 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f))))) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f))))) * * * * [misc]progress: [ 64 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (/ 1 (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ 1 (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 65 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (442 enodes) * [exit]simplify: Simplified to (* (fma (exp (/ (- PI) (/ 4 f))) (exp (/ (- PI) (/ 4 f))) (expm1 (* (+ f f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (* (fma (exp (/ (- PI) (/ 4 f))) (exp (/ (- PI) (/ 4 f))) (expm1 (* (+ f f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 66 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (* (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (* (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4)))) (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 67 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (expm1 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 68 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log1p (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log1p (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 69 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (log (* (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))) * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 70 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 71 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))) * [exit]simplify: Simplified to (log (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 72 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 73 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 74 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 75 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 76 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 77 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 78 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 79 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* (/ PI 4) f)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (* (/ PI 4) f)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 80 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) * * * * [misc]progress: [ 81 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 82 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 83 / 193 ] 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 (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 84 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 85 / 193 ] 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 (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 86 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (+ (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) (- (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 87 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 88 / 193 ] 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 (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 89 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 90 / 193 ] 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 (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 91 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 92 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (log (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (- (log (- (exp (/ (* PI f) 4)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 93 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))) (- (pow (exp (/ PI 4)) (+ (+ f f) f)) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) * [enter]simplify: Simplifying (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (log1p (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (exp (* (+ f f) (/ PI 4))))) * [exit]simplify: Simplified to (log1p (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (exp (* (+ f f) (/ PI 4))))) * * * * [misc]progress: [ 94 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (- (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (- (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 95 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) * [enter]simplify: Simplifying (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 96 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * * * * [misc]progress: [ 97 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 101 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) * * * * [misc]progress: [ 102 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 103 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) 3) * * * * [misc]progress: [ 104 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) * * * * [misc]progress: [ 105 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (expm1 (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * * * * [misc]progress: [ 107 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (log1p (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * * * * [misc]progress: [ 108 / 193 ] simplifiying candidate # * [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 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 109 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4))) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4))) * * * * [misc]progress: [ 111 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4))) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))) (log (/ PI 4))) * * * * [misc]progress: [ 112 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 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 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (log (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * * * * [misc]progress: [ 113 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 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 (75 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ 4 PI)) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ 4 PI)) * * * * [misc]progress: [ 114 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (/ (/ PI 4) (* (/ 4 PI) (/ 4 PI)))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))))) * [exit]simplify: Simplified to (* (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (/ (/ PI 4) (* (/ 4 PI) (/ 4 PI)))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))))) * * * * [misc]progress: [ 115 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (cbrt (* (/ 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 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)))) * [exit]simplify: Simplified to (* (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4))) (cbrt (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)))) * [enter]simplify: Simplifying (cbrt (* (/ 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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (cbrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * * * * [misc]progress: [ 116 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 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 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) 3) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4)) 3) * * * * [misc]progress: [ 117 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [enter]simplify: Simplifying (sqrt (* (/ 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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * [exit]simplify: Simplified to (sqrt (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ PI 4))) * * * * [misc]progress: [ 118 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ (+ 4 4) PI)) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ (+ 4 4) PI)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 120 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 121 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (+ (/ 4 PI) (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (+ (/ 4 PI) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 122 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ 4 PI) (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ 4 PI) (* (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 123 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (+ (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (+ (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (/ 4 PI) (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (/ 4 PI) (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 124 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))) (* (/ 4 PI) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f)))))) (* (/ 4 PI) (log (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 125 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (+ (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (+ (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (/ 4 PI) (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (/ 4 PI) (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 126 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (/ (log (/ (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 127 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 128 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (* (- 4) (/ (log 1) PI))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (* (- 4) (/ (log 1) PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (/ 4 PI) (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (/ 4 PI) (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 129 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * * * * [misc]progress: [ 130 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (* (- 4) (/ (log 1) PI))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (* (- 4) (/ (log 1) PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (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 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (/ 4 PI) (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))))) (/ 4 PI) (* (log (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (- (/ 4 PI)))) * * * * [misc]progress: [ 131 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (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 (81 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (- (+ (/ 4 PI) (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (- (+ (/ 4 PI) (/ 4 PI)))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 132 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 133 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [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 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 134 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 135 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [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 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 136 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (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 (81 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (- (+ (/ 4 PI) (/ 4 PI)))) * [exit]simplify: Simplified to (* (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (- (+ (/ 4 PI) (/ 4 PI)))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 137 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * [exit]simplify: Simplified to (fma (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI)) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 138 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [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 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 139 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4))) * * * * [misc]progress: [ 140 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [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 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 141 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (log 1) (/ 4 PI)) * [exit]simplify: Simplified to (* (log 1) (/ 4 PI)) * [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 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 142 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (- (/ 4 PI))) * * * * [misc]progress: [ 143 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4)) * * * * [misc]progress: [ 144 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (- (* (/ 4 PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (- (* (/ 4 PI) (log (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f)))) (/ PI 4)) * * * * [misc]progress: [ 145 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ PI (+ 4 4))) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ PI (+ 4 4))) * [enter]simplify: Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 146 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))) (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 147 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI (+ 4 4))) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4))))))) (/ PI (+ 4 4))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 148 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI) (* (/ 4 PI) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI) (* (/ 4 PI) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 149 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (+ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (+ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 150 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI) (* (/ 4 PI) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [exit]simplify: Simplified to (fma (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI) (* (/ 4 PI) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))))) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)) * * * * [misc]progress: [ 151 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (* (+ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (+ (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (log (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 152 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (* (log (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 153 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * * * * [misc]progress: [ 154 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI) (* (/ 4 PI) (- (log 1)))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI) (* (/ 4 PI) (- (log 1)))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 155 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (* (/ PI 4) f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)) * * * * [misc]progress: [ 156 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI) (* (/ 4 PI) (- (log 1)))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI) (* (/ 4 PI) (- (log 1)))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))))) (/ 4 PI) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) * * * * [misc]progress: [ 157 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI))) (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (+ (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI))) (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 158 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 159 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 160 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4)))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4)))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (/ (- PI) (/ 4 f)))))))) * * * * [misc]progress: [ 161 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 162 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (+ (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI))) (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)))) * [exit]simplify: Simplified to (+ (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI))) (* (log (cbrt (- (exp (* f (/ PI 4))) (exp (* (- f) (/ PI 4)))))) (- (/ 4 PI)))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 163 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (- (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * * * * [misc]progress: [ 164 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 165 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4)))))) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (+ (sqrt (exp (/ (- PI) (/ 4 f)))) (sqrt (exp (/ (* PI f) 4)))))) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (/ (- PI) (/ 4 f)))))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (/ (- PI) (/ 4 f)))))))) * * * * [misc]progress: [ 166 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 1)) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 167 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [exit]simplify: Simplified to (/ (log 1) (/ PI 4)) * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * * * * [misc]progress: [ 168 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (* (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (418 enodes) * [exit]simplify: Simplified to (/ (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ PI (- 4))) * [exit]simplify: Simplified to (/ (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (/ PI (- 4))) * * * * [misc]progress: [ 169 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) (+ f (+ f f)))) (exp (* (- (/ PI 4)) (+ (+ f f) f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) (+ f (+ f f)))) (exp (* (- (/ PI 4)) (+ (+ f f) f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (+ (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f)))) (* (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4)) * * * * [misc]progress: [ 170 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (/ (- (log (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (- (log (- (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))))) (/ PI 4)) * [enter]simplify: Simplifying (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI)))))) * * * * [misc]progress: [ 171 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 172 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ (cbrt (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))) * * * * [misc]progress: [ 173 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (/ PI 4)) * * * * [misc]progress: [ 174 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [exit]simplify: Simplified to (/ 4 PI) * * * * [misc]progress: [ 175 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 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 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 176 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 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 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 177 / 193 ] simplifiying candidate # * [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 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 178 / 193 ] simplifiying candidate # * [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 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * * * * [misc]progress: [ 179 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* 4 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * [exit]simplify: Simplified to (* 4 (log (/ (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))))) * * * * [misc]progress: [ 180 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) * * * * [misc]progress: [ 181 / 193 ] simplifiying candidate # * * * * [misc]progress: [ 182 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/61440 (* (pow PI 5) (pow f 5))) (+ (* 1/2 (* PI f)) (* 1/192 (* (pow PI 3) (pow f 3))))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 183 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (244 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (+ (/ (- 1) (pow (exp 1/4) (* f PI))) (pow (exp 1/4) (* f PI))))) (/ (/ PI 4) (- 1))) * * * * [misc]progress: [ 184 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ (- 4) PI)) * * * * [misc]progress: [ 185 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* PI f)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow PI 3) (pow f 3))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (* (log (- (fma 1/12 (* f PI) (/ (/ 4 PI) f)) (* (* (* f 1/2880) (* PI PI)) (* (* f PI) f)))) (- (/ 4 PI))) * * * * [misc]progress: [ 186 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* 1/4 PI) (- f)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI)))))) (* (- 1) (/ 4 PI))) * * * * [misc]progress: [ 187 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) * * * * [misc]progress: [ 188 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (- (+ (* 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 (25 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (fma (* f f) (* 1/48 (* PI PI)) (log (/ 4 PI))) (fma 7/23040 (* (pow PI 4) (pow f 4)) (log f)))) * * * * [misc]progress: [ 189 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (- (* 1/4 (* PI f)))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* 1/4 PI) (- f)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI)))))) (* (- 1) (/ 4 PI))) * * * * [misc]progress: [ 190 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) * * * * [misc]progress: [ 191 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* PI (pow f 2)))) (+ (* 7/5760 (* (pow PI 3) (pow f 4))) (* 4 (/ (log f) PI))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/12 PI)) (* f f)) (- (fma (pow f 4) (* (* 7/5760 PI) (* PI PI)) (/ (log f) (/ PI 4))) (* (/ 4 PI) (log (/ 4 PI))))) * * * * [misc]progress: [ 192 / 193 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (+ (pow (exp 1/4) (* PI f)) (exp (* (- f) (* PI 1/4)))) (+ (pow (exp 1/4) (* PI f)) (/ (- 1) (pow (exp 1/4) (* PI f))))))) * * * * [misc]progress: [ 193 / 193 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))))) PI))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (266 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: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 3 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* PI 1/192) PI) (* (* f PI) f)) (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (* (* (* PI 1/192) PI) (* (* f PI) f)) in f * [misc]taylor: Taking taylor expansion of (* (* PI 1/192) PI) in f * [misc]taylor: Taking taylor expansion of (* PI 1/192) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* f PI) f) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow f 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* (* 1/192 PI) PI) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/192 (pow PI 2)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/2 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 1) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))) in f * [misc]taylor: Rewrote expression to (+ (* f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI))) (* 1/61440 (* (pow PI 5) (pow f 5)))) * [misc]taylor: Taking taylor expansion of (* f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* PI 1/192) PI) (* (* f PI) f)) (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (* (* (* PI 1/192) PI) (* (* f PI) f)) in f * [misc]taylor: Taking taylor expansion of (* (* PI 1/192) PI) in f * [misc]taylor: Taking taylor expansion of (* PI 1/192) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* f PI) f) in f * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow f 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* (* 1/192 PI) PI) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (* 1/192 (pow PI 2)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 0 (* 1/2 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 0 1) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 1) (* 0 0))) into PI * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) PI) (+ (* 0 0) (* 0 0))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 (pow PI 3))) (+ (* 1 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (+ (* 0 PI) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (* 1/192 (pow PI 3))) (+ (* 0 0) (* 0 (* 1/2 PI))))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (+ (* 0 0) (+ (* 0 PI) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (* 1/192 (pow PI 3))) (+ (* 0 0) (* 0 (* 1/2 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 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 1/192)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 3))) (+ (* 0 0) (* 0 (* 1/2 PI))))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (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 (* (/ PI 4) (/ 1 f)))) (fma (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI))) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f))) (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (* (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (* PI 1/192) PI) in f * [misc]taylor: Taking taylor expansion of (* PI 1/192) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]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 (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* (* 1/192 PI) PI) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* (* 1/192 (pow PI 2)) PI) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1 (* 1/192 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) (fma (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI))) (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fma (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f)) (* 1/2 PI)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f))) (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (* (* (* PI 1/192) PI) (* (* (/ 1 f) PI) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (* PI 1/192) PI) in f * [misc]taylor: Taking taylor expansion of (* PI 1/192) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) PI) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow (/ 1 f) 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]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 (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* (* 1/192 PI) PI) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* (* 1/192 (pow PI 2)) PI) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1 (* 1/192 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (* 3 (log f)) (log (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* 1/192 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/2 PI)) (+ (* 0 0) (* 0 (* 1/192 (pow PI 3))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 PI)) (+ (* 0 0) (* 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) (pow f -5)) into (/ (pow PI 5) (pow f 5)) * [misc]backup-simplify: Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* PI (pow f 5)))) (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* PI (pow f 5)))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* PI (pow f 5)))) (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* PI (pow f 5))))))) 1)) (pow (* 192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI f))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow f 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (* -1/6 (+ (* 3/160 (/ (* (exp (* -1/4 (/ PI (/ 1 f)))) (pow PI 2)) (* (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow (/ 1 f) 5)))) (* 3/160 (/ (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))))) (pow (/ 1 f) 3)) (+ (* (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 192 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))))) (pow (/ 1 f) 2)) (+ (* 3 (log (/ 1 f))) (log (* 192 (/ (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))) (pow PI 3))))))) into (- (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (/ (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI))) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f)))) (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (* (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (* PI 1/192) PI) in f * [misc]taylor: Taking taylor expansion of (* PI 1/192) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]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 (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* (* 1/192 PI) PI) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) -1) into PI * [misc]backup-simplify: Simplify (* (* 1/192 (pow PI 2)) PI) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (* 1/192 (pow PI 3))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI))) (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (fma (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f))) (* 1/2 PI)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f)))) (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (* (* (* PI 1/192) PI) (* (* (/ 1 (- f)) PI) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (* PI 1/192) PI) in f * [misc]taylor: Taking taylor expansion of (* PI 1/192) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) PI) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow PI 5) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]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 (* PI 1/192) into (* 1/192 PI) * [misc]backup-simplify: Simplify (* (* 1/192 PI) PI) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) -1) into PI * [misc]backup-simplify: Simplify (* (* 1/192 (pow PI 2)) PI) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* -1 (* 1/192 (pow PI 3))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) into (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* 1/192 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 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 (- 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 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (* 1/2 PI)) (+ (* 0 0) (* 0 (* 1/192 (pow PI 3))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (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 (- 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 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/192 (pow PI 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* 1/2 PI)) (+ (* 0 0) (* 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* 1/4 (/ PI f))))) (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* 1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (* -1/2 (+ (* 192 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))) (* 192 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))))) (pow (/ 1 (- f)) 2)) (+ (log (* -192 (/ (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))))) into (- (+ (* 3 (log (/ -1 f))) (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (pow PI 2) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 1/320 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 3 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 2 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (expm1 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (log1p (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log1p (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [enter]simplify: Simplifying (log (cbrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) (* (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* 1/192 PI) f) (* (* PI f) (* PI f)) (* (* PI f) 1/2)))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* 1/192 PI) f) (* (* PI f) (* PI f)) (* (* PI f) 1/2))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* 1/192 PI) f) (* (* PI f) (* PI f)) (* (* PI f) 1/2)))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma 1/61440 (* (pow PI 5) (pow f 5)) (fma (* (* 1/192 PI) f) (* (* PI f) (* PI f)) (* (* PI f) 1/2))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) (sqrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (486 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 (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [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 (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))))) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) (cbrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))))) * [enter]simplify: Simplifying (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (* (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (236 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (* (cbrt (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (* (cbrt (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (cbrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (sqrt (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (- (- (log (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 13 / 72 ] 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 (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (- (- (log (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (cbrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (sqrt (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 16 / 72 ] 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 (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * * * * [misc]progress: [ 17 / 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 (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (log (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) * [enter]simplify: Simplifying (log (/ 1 (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (- (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (- (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (log (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) * [exit]simplify: Simplified to (log (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) * [enter]simplify: Simplifying (log (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (log (fma (* PI f) (fma (* PI f) (* 1/192 (* PI f)) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * [exit]simplify: Simplified to (log (fma (* PI f) (fma (* PI f) (* 1/192 (* PI f)) 1/2) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* PI f) (fma (* (* PI f) 1/192) (* PI f) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* 1/61440 (pow PI 5)) (pow f 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* (* PI f) 1/2)))) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* 1/61440 (pow PI 5)) (pow f 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* (* PI f) 1/2)))) * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* PI f) (* (* PI f) 1/192) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))))) * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* 1/61440 (pow PI 5)) (pow f 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* PI (* 1/2 f)))))) 3) * [exit]simplify: Simplified to (pow (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))) (fma (* 1/61440 (pow PI 5)) (pow f 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* PI (* 1/2 f)))))) 3) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (pow PI 5)) * [exit]simplify: Simplified to (exp (pow PI 5)) * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [enter]simplify: Simplifying (cbrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow PI 5) (pow PI 5)) (pow PI 5)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* PI 1/192) 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 (expm1 (* PI (* 1/192 PI))) * [exit]simplify: Simplified to (expm1 (* PI (* 1/192 PI))) * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* PI 1/192) 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 (log1p (* PI (* 1/192 PI))) * [exit]simplify: Simplified to (log1p (* PI (* 1/192 PI))) * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* PI 1/192) PI)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (log (* PI (* 1/192 PI))) * [exit]simplify: Simplified to (log (* PI (* 1/192 PI))) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* PI 1/192) PI)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (exp (* PI (* 1/192 PI))) * [exit]simplify: Simplified to (exp (* PI (* 1/192 PI))) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* PI 1/192) PI)) (cbrt (* (* PI 1/192) PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI (* 1/192 PI))) (cbrt (* PI (* 1/192 PI)))) * [exit]simplify: Simplified to (* (cbrt (* PI (* 1/192 PI))) (cbrt (* PI (* 1/192 PI)))) * [enter]simplify: Simplifying (cbrt (* (* PI 1/192) 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 (cbrt (* PI (* 1/192 PI))) * [exit]simplify: Simplified to (cbrt (* PI (* 1/192 PI))) * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* PI 1/192) PI) (* (* PI 1/192) PI)) (* (* PI 1/192) PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (pow (* PI (* 1/192 PI)) 3) * [exit]simplify: Simplified to (pow (* PI (* 1/192 PI)) 3) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* PI 1/192) 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 (sqrt (* PI (* 1/192 PI))) * [exit]simplify: Simplified to (sqrt (* PI (* 1/192 PI))) * [enter]simplify: Simplifying (sqrt (* (* PI 1/192) 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 (sqrt (* PI (* 1/192 PI))) * [exit]simplify: Simplified to (sqrt (* PI (* 1/192 PI))) * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/192 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI 1/192) * [exit]simplify: Simplified to (* PI 1/192) * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (expm1 (* 1/192 PI)) * [exit]simplify: Simplified to (expm1 (* 1/192 PI)) * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (log1p (* 1/192 PI)) * [exit]simplify: Simplified to (log1p (* 1/192 PI)) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI 1/192)) * * [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 (* 1/192 PI)) * [exit]simplify: Simplified to (log (* 1/192 PI)) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* 1/192 PI)) * [exit]simplify: Simplified to (exp (* 1/192 PI)) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI 1/192)) (cbrt (* PI 1/192))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* 1/192 PI)) (cbrt (* 1/192 PI))) * [exit]simplify: Simplified to (* (cbrt (* 1/192 PI)) (cbrt (* 1/192 PI))) * [enter]simplify: Simplifying (cbrt (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* 1/192 PI)) * [exit]simplify: Simplified to (cbrt (* 1/192 PI)) * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI 1/192) (* PI 1/192)) (* PI 1/192)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* 1/192 PI) 3) * [exit]simplify: Simplified to (pow (* 1/192 PI) 3) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/192 PI)) * [exit]simplify: Simplified to (sqrt (* 1/192 PI)) * [enter]simplify: Simplifying (sqrt (* PI 1/192)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* 1/192 PI)) * [exit]simplify: Simplified to (sqrt (* 1/192 PI)) * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 72 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (fma (* 1/48 (* PI PI)) (* f f) (log (/ 4 PI))) (fma 7/23040 (* (pow PI 4) (pow f 4)) (log f)))) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (/ (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))))))) * * [misc]simplify: iters left: 6 (48 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * * [misc]simplify: iters left: 4 (439 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (- (log (* 192 (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (- (* 3 (log PI)) (* (log f) (- 3)))) (fma 1/320 (+ (/ (* (* (* PI PI) (* f f)) (pow (exp 1/4) (* PI f))) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (/ (* (* (* PI PI) (* f f)) (pow (exp -1/4) (* PI f))) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (* (/ (/ 96 (* f f)) (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))) (+ (/ (pow (exp 1/4) (* PI f)) (* PI PI)) (/ (pow (exp -1/4) (* PI f)) (* PI PI))))))) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (+ (* 3 (log (/ -1 f))) (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (pow PI 2) (* (exp (* 1/4 (* PI f))) (exp (* 5 (- (log -1) (log (/ -1 f))))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (pow PI 2) (* (pow f 2) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 1/320 (/ (* (pow PI 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* -1/4 (* PI f))))) (* (pow f 3) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))))) * * [misc]simplify: iters left: 6 (55 enodes) * * [misc]simplify: iters left: 5 (168 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (- (- (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow PI 3)))) (/ (* (* 1/320 (* (* PI PI) (pow (exp 1/4) (* PI f)))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))) (* (pow f 3) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (+ (fma 96 (/ (/ (pow (exp 1/4) (* PI f)) (* PI PI)) (* (* f f) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (/ (* (/ (pow (exp -1/4) (* PI f)) (* PI PI)) 96) (* (* f f) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))))) (* (* 1/320 (/ (* PI PI) (pow f 3))) (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (pow (exp -1/4) (* PI f)))))))) * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma f (fma (* (* PI 1/192) PI) (* (* f PI) f) (* 1/2 PI)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (279 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (fma (* (* PI f) (* PI f)) (* 1/192 PI) (* 1/2 PI)) f (* 1/61440 (* (pow PI 5) (pow f 5))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2 3 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/32 (/ (pow PI 2) (sqrt 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/32 (/ (pow PI 2) (sqrt 2))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/6144 (/ (pow PI 4) (sqrt 2))) (* 1/2048 (/ (pow PI 4) (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/6144 (/ (pow PI 4) (sqrt 2))) (* 1/2048 (/ (pow PI 4) (pow (sqrt 2) 3))))) 1)) (pow (sqrt 2) 1)))) 24) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) (pow f 2)) (log (sqrt 2)))) into (- (+ (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/32 (/ (* (pow PI 2) (pow f 2)) (pow (sqrt 2) 2))))) (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))) into (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) into (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 f))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 f)) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/192 (* (* PI f) (* PI f)) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI f) (* PI f))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI f) (* PI f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI f) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 f))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 f)) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/192 (* (* PI f) (* PI f)) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI f) (* PI f))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI f) (* PI f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI f) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* 2 (/ (sqrt 2) PI)))) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (- (log (* 2 (/ (sqrt 2) PI))) (log f)) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI PI) (* 0 0))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) (+ (* 0 0) (* 0 0))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 (pow PI 2))) (+ (* PI 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)))) 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 (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 2) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 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 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) 1) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ (sqrt 2) PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3)))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 24) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) (pow f 2)) (- (log (* 2 (/ (sqrt 2) PI))) (log f)))) into (- (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (* 1/46080 (* (pow PI 4) (pow f 4)))))) (+ (log f) (+ (* 1/96 (* (pow f 2) (pow PI 2))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ 1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ 1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (* 3 (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* 3 (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (* 3 (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ -96 (pow PI 2)) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (pow f -5)) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 6) into (* -1/320 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (* -1/320 (/ (pow PI 2) (pow f 5))) into (* -1/320 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* (* -1/320 (/ (pow PI 2) (pow (/ 1 f) 5))) (pow (/ 1 f) 3)) (+ (* (/ -96 (pow PI 2)) (pow (/ 1 f) 2)) (+ (* 3 (log (/ 1 f))) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))))))) into (- (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (* (pow PI 2) (pow f 2))) (* 96 (/ 1 (* (pow PI 2) (pow f 2)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ -1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1 PI)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ -1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1 PI)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 3 (log f))) into (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 3 (log f))) * [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 (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ -1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ -96 (pow PI 2)) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 6) into (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [misc]backup-simplify: Simplify (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) into (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/320 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (pow PI 2))) (pow (/ 1 (- f)) 3)) (+ (* (/ -96 (pow PI 2)) (pow (/ 1 (- f)) 2)) (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (* 3 (log (/ 1 (- f))))))) into (- (+ (* 3 (log (/ -1 f))) (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))) (+ (* 96 (/ 1 (* (pow PI 2) (pow f 2)))) (* 1/320 (/ (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f)))))) (pow f 3))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2 3 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 f))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 f)) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/192 (* (* PI f) (* PI f)) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI f) (* PI f))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI f) (* PI f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI f) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) in f * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 f))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 f)) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/192 (* (* PI f) (* PI f)) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI f) (* PI f))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI f) (* PI f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI f) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* 2 (/ (sqrt 2) PI)))) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (+ (log (sqrt 2)) (- (log (* 2 (/ (sqrt 2) PI))) (log f))) into (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) PI)))) (log f)) * [misc]backup-simplify: Simplify (* (/ -4 PI) (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) PI)))) (log f))) into (* -4 (/ (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) PI)))) (log f)) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) PI)))) (log f)) PI)) into (* -4 (/ (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) PI)))) (log f)) PI)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI PI) (* 0 0))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) (+ (* 0 0) (* 0 0))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 (pow PI 2))) (+ (* PI 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (/ -4 PI) 0) (* 0 (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) 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 (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)))) 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 (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 2) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2))))) into (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/96 (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 (+ (* (/ -4 PI) (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/96 (pow PI 2)))) (+ (* 0 0) (* 0 (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) PI)))) (log f))))) into (- (* 1/24 PI) (* 1/4 (/ PI (pow (sqrt 2) 2)))) * [misc]backup-simplify: Simplify (- (* 1/24 PI) (* 1/4 (/ PI (pow (sqrt 2) 2)))) into (- (* 1/24 PI) (* 1/4 (/ PI (pow (sqrt 2) 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/32 (/ (pow PI 2) (sqrt 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (/ -4 PI) 0) (+ (* 0 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/96 (pow PI 2)))) (+ (* 0 0) (* 0 (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/32 (/ (pow PI 2) (sqrt 2))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/6144 (/ (pow PI 4) (sqrt 2))) (* 1/2048 (/ (pow PI 4) (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/6144 (/ (pow PI 4) (sqrt 2))) (* 1/2048 (/ (pow PI 4) (pow (sqrt 2) 3))))) 1)) (pow (sqrt 2) 1)))) 24) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 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 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) 1) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ (sqrt 2) PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3)))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 24) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4)))))) into (- (+ (* 1/3072 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/46080 (pow PI 4))) (* 1/512 (/ (pow PI 4) (pow (sqrt 2) 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 (+ (* (/ -4 PI) (- (+ (* 1/3072 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/46080 (pow PI 4))) (* 1/512 (/ (pow PI 4) (pow (sqrt 2) 4))))) (+ (* 0 0) (+ (* 0 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/96 (pow PI 2)))) (+ (* 0 0) (* 0 (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) PI)))) (log f))))))) into (- (* 1/128 (/ (pow PI 3) (pow (sqrt 2) 4))) (+ (* 1/768 (/ (pow PI 3) (pow (sqrt 2) 2))) (* 1/11520 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 1/128 (/ (pow PI 3) (pow (sqrt 2) 4))) (+ (* 1/768 (/ (pow PI 3) (pow (sqrt 2) 2))) (* 1/11520 (pow PI 3)))) into (- (* 1/128 (/ (pow PI 3) (pow (sqrt 2) 4))) (+ (* 1/768 (/ (pow PI 3) (pow (sqrt 2) 2))) (* 1/11520 (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/128 (/ (pow PI 3) (pow (sqrt 2) 4))) (+ (* 1/768 (/ (pow PI 3) (pow (sqrt 2) 2))) (* 1/11520 (pow PI 3)))) (pow f 4)) (+ (* (- (* 1/24 PI) (* 1/4 (/ PI (pow (sqrt 2) 2)))) (pow f 2)) (* -4 (/ (- (+ (log (sqrt 2)) (log (* 2 (/ (sqrt 2) PI)))) (log f)) PI)))) into (- (+ (* 1/24 (* PI (pow f 2))) (+ (* 4 (/ (log f) PI)) (* 1/128 (/ (* (pow f 4) (pow PI 3)) (pow (sqrt 2) 4))))) (+ (* 4 (/ (log (sqrt 2)) PI)) (+ (* 1/768 (/ (* (pow f 4) (pow PI 3)) (pow (sqrt 2) 2))) (+ (* 1/11520 (* (pow f 4) (pow PI 3))) (+ (* 1/4 (/ (* PI (pow f 2)) (pow (sqrt 2) 2))) (* 4 (/ (log (* 2 (/ (sqrt 2) PI))) PI))))))) * [misc]approximate: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))))) 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 (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ 1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))))) 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 (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))))) in f * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ 1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (* 3 (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (* 3 (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))) into (+ (* 3 (log f)) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (* (/ -4 PI) (+ (* 3 (log f)) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (* -4 (/ (+ (* 3 (log f)) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (* 3 (log f)) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) PI)) into (* -4 (/ (+ (* 3 (log f)) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) PI)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (/ -4 PI) 0) (* 0 (+ (* 3 (log f)) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (log (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -96 (pow PI 2))) into (- (* 96 (/ 1 (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 (+ (* (/ -4 PI) (- (* 96 (/ 1 (pow PI 2))))) (+ (* 0 0) (* 0 (+ (* 3 (log f)) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (* 384 (/ 1 (pow PI 3))) * [misc]backup-simplify: Simplify (* 384 (/ 1 (pow PI 3))) into (/ 384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (pow f -5)) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 6) into (* -1/320 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* -1/320 (/ (pow PI 2) (pow f 5)))) into (- (* 1/320 (/ (pow PI 2) (pow f 5)))) * [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) (- (* 1/320 (/ (pow PI 2) (pow f 5))))) (+ (* 0 (- (* 96 (/ 1 (pow PI 2))))) (+ (* 0 0) (* 0 (+ (* 3 (log f)) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) into (* 1/80 (/ PI (pow f 5))) * [misc]backup-simplify: Simplify (* 1/80 (/ PI (pow f 5))) into (* 1/80 (/ PI (pow f 5))) * [misc]backup-simplify: Simplify (+ (* (* 1/80 (/ PI (pow (/ 1 f) 5))) (pow (/ 1 f) 3)) (+ (* (/ 384 (pow PI 3)) (pow (/ 1 f) 2)) (* -4 (/ (+ (* 3 (log (/ 1 f))) (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (log (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) PI)))) into (- (+ (* 384 (/ 1 (* (pow PI 3) (pow f 2)))) (* 1/80 (* PI (pow f 2)))) (+ (* 12 (/ (log (/ 1 f)) PI)) (+ (* 4 (/ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) PI)) (* 4 (/ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) PI))))) * [misc]approximate: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))))) 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 (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ -1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1 PI)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))))) 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 (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))))) in f * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ -1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1 PI)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 3 (log f)))) into (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 3 (log f)) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (* (/ -4 PI) (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 3 (log f)) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (* -4 (/ (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 3 (log f)) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) PI)) * [misc]backup-simplify: Simplify (* -4 (/ (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 3 (log f)) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) PI)) into (* -4 (/ (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 3 (log f)) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) PI)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* (/ -4 PI) 0) (* 0 (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 3 (log f)) (log (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ -1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -96 (pow PI 2))) into (- (* 96 (/ 1 (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 (+ (* (/ -4 PI) (- (* 96 (/ 1 (pow PI 2))))) (+ (* 0 0) (* 0 (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 3 (log f)) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))))) into (* 384 (/ 1 (pow PI 3))) * [misc]backup-simplify: Simplify (* 384 (/ 1 (pow PI 3))) into (/ 384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 6) into (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2)))) into (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [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) (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2)))) (+ (* 0 (- (* 96 (/ 1 (pow PI 2))))) (+ (* 0 0) (* 0 (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (+ (* 3 (log f)) (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))))))) into (- (* 1/80 (* (exp (* 5 (- (log -1) (log f)))) PI))) * [misc]backup-simplify: Simplify (- (* 1/80 (* (exp (* 5 (- (log -1) (log f)))) PI))) into (- (* 1/80 (* (exp (* 5 (- (log -1) (log f)))) PI))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/80 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) PI))) (pow (/ 1 (- f)) 3)) (+ (* (/ 384 (pow PI 3)) (pow (/ 1 (- f)) 2)) (* -4 (/ (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (+ (* 3 (log (/ 1 (- f)))) (log (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) PI)))) into (- (+ (* 1/80 (/ (* PI (exp (* 5 (- (log -1) (log (/ -1 f)))))) (pow f 3))) (* 384 (/ 1 (* (pow PI 3) (pow f 2))))) (+ (* 4 (/ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (* 4 (/ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) PI))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 2 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 3 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1))) (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1))) (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1)))) * [enter]simplify: Simplifying (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 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 (80 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * * * * [misc]progress: [ 4 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 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 (80 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 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 (80 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * * * * [misc]progress: [ 5 / 108 ] 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * * * * [misc]progress: [ 6 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * * [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 (78 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * * * * [misc]progress: [ 7 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * * [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 (78 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * * * * [misc]progress: [ 8 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * * * * [misc]progress: [ 9 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 12 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 13 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) 1))) (cbrt (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) 1)))) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) 1))) (cbrt (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) 1)))) * [enter]simplify: Simplifying (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 14 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))) 1)) 3) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))) 1)) 3) * * * * [misc]progress: [ 15 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 16 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 18 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 19 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (log (* (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [enter]simplify: Simplifying (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * * * [misc]progress: [ 20 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * * * [misc]progress: [ 21 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 22 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 23 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 24 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 25 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 26 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1)) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 27 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 28 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 29 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 30 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 31 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 32 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 33 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 34 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 35 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 36 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 37 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 38 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 39 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [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 (449 enodes) * [exit]simplify: Simplified to (- (log (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [exit]simplify: Simplified to (- (log (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 40 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 41 / 108 ] 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 (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 42 / 108 ] 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 (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 43 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (log (/ 1 (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (- (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))) * [exit]simplify: Simplified to (- (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))) * * * * [misc]progress: [ 44 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) * [exit]simplify: Simplified to (log (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) * * * * [misc]progress: [ 45 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 46 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 50 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 51 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * [enter]simplify: Simplifying (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 52 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) 3) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) 3) * * * * [misc]progress: [ 53 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 54 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 56 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 57 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 58 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 60 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (pow PI 5)) * [exit]simplify: Simplified to (exp (pow PI 5)) * * * * [misc]progress: [ 61 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [enter]simplify: Simplifying (cbrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * * * * [misc]progress: [ 62 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow PI 5) (pow PI 5)) (pow PI 5)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * * * * [misc]progress: [ 63 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * * * * [misc]progress: [ 64 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (expm1 (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * [exit]simplify: Simplified to (expm1 (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * * * * [misc]progress: [ 66 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (log1p (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * [exit]simplify: Simplified to (log1p (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * * * * [misc]progress: [ 67 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (log 1)) (- (/ 4 PI))))) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (log 1)) (- (/ 4 PI))))) * * * * [misc]progress: [ 68 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- 4) PI)) (log (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (+ (log (+ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) 1)))) (log (- (/ 4 PI)))) * [exit]simplify: Simplified to (+ (log (+ (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) 1)))) (log (- (/ 4 PI)))) * * * * [misc]progress: [ 70 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (log (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * [exit]simplify: Simplified to (log (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * * * * [misc]progress: [ 71 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (pow (* (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) 1) (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (pow (* (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) 1) (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 72 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- 4) PI) (/ (- 4) PI)) (/ (- 4) PI)) (* (* (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (340 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ 4 PI) (/ 4 PI)) (/ PI (- 4))) (+ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1)) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (* (+ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1)) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (+ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1)) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * [exit]simplify: Simplified to (* (* (/ (* (/ 4 PI) (/ 4 PI)) (/ PI (- 4))) (+ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1)) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) (* (+ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1)) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (+ (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1)) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* 1/61440 (* (pow PI 5) (pow f 5))))))))) * * * * [misc]progress: [ 73 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) (cbrt (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (- (/ 4 PI)) (* (- (/ 4 PI)) (- (log 1)))))) (cbrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (- (/ 4 PI)) (* (- (/ 4 PI)) (- (log 1))))))) * [exit]simplify: Simplified to (* (cbrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (- (/ 4 PI)) (* (- (/ 4 PI)) (- (log 1)))))) (cbrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (- (/ 4 PI)) (* (- (/ 4 PI)) (- (log 1))))))) * [enter]simplify: Simplifying (cbrt (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (cbrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * [exit]simplify: Simplified to (cbrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * * * * [misc]progress: [ 74 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (pow (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) 1)))) 3) * [exit]simplify: Simplified to (pow (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) 1)))) 3) * * * * [misc]progress: [ 75 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (sqrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * [exit]simplify: Simplified to (sqrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * [enter]simplify: Simplifying (sqrt (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (sqrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * [exit]simplify: Simplified to (sqrt (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (/ 4 PI)) (- (log 1)))))) * * * * [misc]progress: [ 76 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 4) (+ (pow (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) 3) (pow (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) 3))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (- (* (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (- 4))) (* (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) 4) (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) (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))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (fma (* (* f PI) 1/192) (* f PI) 1/2) (* f PI) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (- 4))) (* (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) 4) (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1))))) * [enter]simplify: Simplifying (* PI (+ (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) (- (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * * [misc]simplify: iters left: 3 (476 enodes) * [exit]simplify: Simplified to (fma (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) PI) (- (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1))) (* (fma (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) PI (- (* PI (log 1)))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)))) * [exit]simplify: Simplified to (fma (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) PI) (- (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1))) (* (fma (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) PI (- (* PI (log 1)))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) 1)))) * * * * [misc]progress: [ 77 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 4) (- (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (497 enodes) * [exit]simplify: Simplified to (* (- (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (* (- 4) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * [exit]simplify: Simplified to (* (- (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (* (- 4) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) * [enter]simplify: Simplifying (* PI (- (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (- (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) PI) * [exit]simplify: Simplified to (* (- (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) PI) * * * * [misc]progress: [ 78 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (fma (/ 4 PI) (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (- (log 1)) (/ 4 PI)))) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (fma (/ 4 PI) (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (- (log 1)) (/ 4 PI)))) * * * * [misc]progress: [ 80 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [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 (111 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))))) (- (/ 4 PI)) (* (log 1) (/ 4 PI))) * [exit]simplify: Simplified to (fma (log (sqrt (+ (exp (* PI (/ f 4))) (exp (* (/ PI 4) (- f)))))) (- (/ 4 PI)) (* (log 1) (/ 4 PI))) * [enter]simplify: Simplifying (* (/ (- 4) PI) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * * * * [misc]progress: [ 81 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (/ (- 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 (108 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (* (log 1) (/ 4 PI))) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (* (log 1) (/ 4 PI))) * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (/ (- 4) PI)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 82 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (* (cbrt (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) (cbrt (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) 1)))) (- 4)) (/ PI (cbrt (+ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) 1)))))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) 1)))) (- 4)) (/ PI (cbrt (+ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) 1)))))) * * * * [misc]progress: [ 83 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (sqrt (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) 1)))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (sqrt (+ (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) 1)))) (- (/ 4 PI))) * * * * [misc]progress: [ 84 / 108 ] 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 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 85 / 108 ] 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 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 86 / 108 ] 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 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 87 / 108 ] 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 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 88 / 108 ] 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 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (- (/ 4 PI)) * [exit]simplify: Simplified to (- (/ 4 PI)) * * * * [misc]progress: [ 89 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 4) PI)) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (- (/ 4 PI))) (fma (log (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) (cbrt (- (/ 4 PI))) (* (cbrt (- (/ 4 PI))) (- (log 1))))) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (- (/ 4 PI))) (fma (log (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) (cbrt (- (/ 4 PI))) (* (cbrt (- (/ 4 PI))) (- (log 1))))) * * * * [misc]progress: [ 90 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (- 4) PI)) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (42 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (sqrt (- (/ 4 PI))) (fma (log (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) (sqrt (- (/ 4 PI))) (* (sqrt (- (/ 4 PI))) (- (log 1))))) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (sqrt (- (/ 4 PI))) (fma (log (sqrt (+ (exp (* (- PI) (/ f 4))) (pow (exp f) (/ PI 4))))) (sqrt (- (/ 4 PI))) (* (sqrt (- (/ 4 PI))) (- (log 1))))) * * * * [misc]progress: [ 91 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (log 1)) (- (/ 4 PI))))) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (log 1)) (- (/ 4 PI))))) * * * * [misc]progress: [ 92 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ 1 PI) (fma (/ 1 PI) (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (* (/ 1 PI) (- (log 1))))) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (/ 1 PI) (fma (/ 1 PI) (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (* (/ 1 PI) (- (log 1))))) * * * * [misc]progress: [ 93 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (pow (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) 3) (pow (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) 3))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (fma (* (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow PI 5) (* (pow f 5) 1/61440))))) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow PI 5) (* (pow f 5) 1/61440))))) (- (/ 4 PI))) (* (* (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) 1)) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) 1))) (* (- (/ 4 PI)) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) 1))))) * [exit]simplify: Simplified to (fma (* (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow PI 5) (* (pow f 5) 1/61440))))) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (* (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow PI 5) (* (pow f 5) 1/61440))))) (- (/ 4 PI))) (* (* (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) 1)) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) 1))) (* (- (/ 4 PI)) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) 1))))) * * * * [misc]progress: [ 94 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (- (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (* (- (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (fma (fma (* (* PI f) 1/192) (* PI f) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (fma (fma (* (* PI f) 1/192) (* PI f) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) (- (/ 4 PI))) * [exit]simplify: Simplified to (* (* (- (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (fma (fma (* (* PI f) 1/192) (* PI f) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) (fma (fma (* (* PI f) 1/192) (* PI f) 1/2) (* PI f) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) (- (/ 4 PI))) * * * * [misc]progress: [ 95 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) (- 4) (fma (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- 4) (- (* (- 4) (log 1))))) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow f 5) 1/61440) (pow PI 5))))) (- 4) (fma (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4)))))) (- 4) (- (* (- 4) (log 1))))) * * * * [misc]progress: [ 96 / 108 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (- (+ (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/32 (/ (* (pow PI 2) (pow f 2)) (pow (sqrt 2) 2))))) (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (320 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* PI f) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (fma (/ (* (* PI f) (* PI f)) 2) 1/32 (fma (* (/ (pow f 4) 2) (pow PI 4)) 1/6144 (log (sqrt 2)))) (* (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)) (* (- 1/1024) (- (/ 4 PI)))))) * * * * [misc]progress: [ 98 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (- (log (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) (log (sqrt (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))))))) * * * * [misc]progress: [ 99 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (- (log (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) (log (sqrt (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))))))) * * * * [misc]progress: [ 100 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (- (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (* 1/46080 (* (pow PI 4) (pow f 4)))))) (+ (log f) (+ (* 1/96 (* (pow f 2) (pow PI 2))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))))))) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (132 enodes) * * [misc]simplify: iters left: 4 (391 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (/ f 4) (- PI))))) 1)) (* (- (/ 4 PI)) (+ (fma 1/32 (/ (* f f) (/ (/ 2 PI) PI)) (log (* (/ 2 PI) (sqrt 2)))) (- (fma (* (pow PI 4) (pow f 4)) 1/46080 (* (/ 1/6144 2) (* (pow PI 4) (pow f 4)))) (fma (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)) 1/1024 (fma (* (* f f) 1/96) (* PI PI) (log f))))))) * * * * [misc]progress: [ 101 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (- (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (* (pow PI 2) (pow f 2))) (* 96 (/ 1 (* (pow PI 2) (pow f 2)))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (124 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1)) (fma (- (/ 4 PI)) (- (log (sqrt (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (- (* 3 (log PI)) (log 192))) (* (- (/ 4 PI)) (- (* (log f) (- 3)) (fma (* (* f f) (* PI PI)) 1/320 (/ (/ 96 (* f f)) (* PI PI))))))) * * * * [misc]progress: [ 102 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (- (+ (* 3 (log (/ -1 f))) (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))) (+ (* 96 (/ 1 (* (pow PI 2) (pow f 2)))) (* 1/320 (/ (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f)))))) (pow f 3))))))) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (143 enodes) * * [misc]simplify: iters left: 4 (386 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ PI 4) (- f))))) 1)) (fma (- (/ 4 PI)) (+ (+ (fma (log (/ -1 f)) 3 (log -192)) (- (* 3 (log PI)))) (log (sqrt (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f)))))) (* (- (/ (- 96) (* (* PI PI) (* f f))) (* (/ (* (* PI PI) 1/320) (pow f 3)) (pow (exp 5) (+ 0 (log f))))) (- (/ 4 PI))))) * * * * [misc]progress: [ 103 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (log 1)) (- (/ 4 PI))))) * * * * [misc]progress: [ 104 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (log 1)) (- (/ 4 PI))))) * * * * [misc]progress: [ 105 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 4) PI) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (fma (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (- (/ 4 PI)) (fma (- (/ 4 PI)) (log (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))))) (* (- (log 1)) (- (/ 4 PI))))) * * * * [misc]progress: [ 106 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* PI (pow f 2))) (+ (* 4 (/ (log f) PI)) (* 1/128 (/ (* (pow f 4) (pow PI 3)) (pow (sqrt 2) 4))))) (+ (* 4 (/ (log (sqrt 2)) PI)) (+ (* 1/768 (/ (* (pow f 4) (pow PI 3)) (pow (sqrt 2) 2))) (+ (* 1/11520 (* (pow f 4) (pow PI 3))) (+ (* 1/4 (/ (* PI (pow f 2)) (pow (sqrt 2) 2))) (* 4 (/ (log (* 2 (/ (sqrt 2) PI))) PI))))))) * * [misc]simplify: iters left: 6 (44 enodes) * * [misc]simplify: iters left: 5 (113 enodes) * * [misc]simplify: iters left: 4 (332 enodes) * [exit]simplify: Simplified to (- (- (fma 1/128 (/ (* (pow f 4) (pow PI 3)) (pow (sqrt 2) 4)) (fma (* f f) (* PI 1/24) (* (/ 4 PI) (log f)))) (fma (/ (pow f 4) (/ (/ 2 PI) (* PI PI))) 1/768 (* (/ 4 PI) (log (sqrt 2))))) (fma 4 (/ (log (* (/ 2 PI) (sqrt 2))) PI) (fma 1/4 (* (* f f) (/ PI 2)) (* (* 1/11520 (* PI PI)) (* (pow f 4) PI))))) * * * * [misc]progress: [ 107 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 384 (/ 1 (* (pow PI 3) (pow f 2)))) (* 1/80 (* PI (pow f 2)))) (+ (* 12 (/ (log (/ 1 f)) PI)) (+ (* 4 (/ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) PI)) (* 4 (/ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) PI))))) * * [misc]simplify: iters left: 6 (43 enodes) * * [misc]simplify: iters left: 5 (108 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (- (- (fma (* 1/80 (* PI f)) f (- (/ (/ 384 f) (* (* PI f) (* PI PI))) (* (/ 12 PI) (- (log f))))) (* (/ 4 PI) (log (sqrt (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))))) (* (/ 4 PI) (- (log (sqrt (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (- (* 3 (log PI)) (log 192))))) * * * * [misc]progress: [ 108 / 108 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/80 (/ (* PI (exp (* 5 (- (log -1) (log (/ -1 f)))))) (pow f 3))) (* 384 (/ 1 (* (pow PI 3) (pow f 2))))) (+ (* 4 (/ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (* 4 (/ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) PI))))) * * [misc]simplify: iters left: 6 (51 enodes) * * [misc]simplify: iters left: 5 (121 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (- (- (- (fma (* (/ (/ PI f) (* f f)) (pow (exp 5) (+ 0 (log f)))) 1/80 (/ (/ 384 f) (* (* f PI) (* PI PI)))) (* (/ 12 PI) (log (/ -1 f)))) (* (/ 4 PI) (log (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (* (/ 4 PI) (- (log (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (- (* 3 (log PI)) (log -192))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 1 2 3 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- f) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- f) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (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 (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 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 (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/32 (/ (pow PI 2) (sqrt 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 4 PI)) (+ (* (* -1/4 PI) (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))) (* 0 (/ 0 (/ 4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/32 (/ (pow PI 2) (sqrt 2))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/6144 (/ (pow PI 4) (sqrt 2))) (* 1/2048 (/ (pow PI 4) (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/6144 (/ (pow PI 4) (sqrt 2))) (* 1/2048 (/ (pow PI 4) (pow (sqrt 2) 3))))) 1)) (pow (sqrt 2) 1)))) 24) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) (pow f 2)) (log (sqrt 2)))) into (- (+ (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/32 (/ (* (pow PI 2) (pow f 2)) (pow (sqrt 2) 2))))) (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 f)) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 f)) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 f)) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ 4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 f)) (/ 4 PI))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))) into (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1)) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) 1) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (/ (- (/ 1 (- f))) (/ 4 PI))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (/ (- (/ 1 (- f))) (/ 4 PI))) in f * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (- f))) (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- (/ 1 (- f))) (/ 4 PI))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in f * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 1) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (/ 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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (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 (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))) into (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 f))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 f)) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/192 (* (* PI f) (* PI f)) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI f) (* PI f))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI f) (* PI f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI f) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 f))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 f)) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/192 (* (* PI f) (* PI f)) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI f) (* PI f))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI f) (* PI f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI f) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* 2 (/ (sqrt 2) PI)))) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (- (log (* 2 (/ (sqrt 2) PI))) (log f)) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI PI) (* 0 0))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) (+ (* 0 0) (* 0 0))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 (pow PI 2))) (+ (* PI 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)))) 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 (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 2) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 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 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) 1) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ (sqrt 2) PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2))))) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3)))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 24) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) (pow f 2)) (- (log (* 2 (/ (sqrt 2) PI))) (log f)))) into (- (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (* 1/46080 (* (pow PI 4) (pow f 4)))))) (+ (log f) (+ (* 1/96 (* (pow f 2) (pow PI 2))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ 1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ 1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (* 3 (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* 3 (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (* 3 (log f)) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ -96 (pow PI 2)) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (pow f -5)) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 6) into (* -1/320 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (* -1/320 (/ (pow PI 2) (pow f 5))) into (* -1/320 (/ (pow PI 2) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* (* -1/320 (/ (pow PI 2) (pow (/ 1 f) 5))) (pow (/ 1 f) 3)) (+ (* (/ -96 (pow PI 2)) (pow (/ 1 f) 2)) (+ (* 3 (log (/ 1 f))) (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))))))) into (- (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (* (pow PI 2) (pow f 2))) (* 96 (/ 1 (* (pow PI 2) (pow f 2)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ -1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1 PI)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ -1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1 PI)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) into (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 3 (log f))) into (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (* 3 (log f))) * [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 (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ -1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ -96 (pow PI 2)) into (/ -96 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))))) 1)) (pow (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 1)))) 6) into (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [misc]backup-simplify: Simplify (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) into (* 1/320 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* (* 1/320 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (pow PI 2))) (pow (/ 1 (- f)) 3)) (+ (* (/ -96 (pow PI 2)) (pow (/ 1 (- f)) 2)) (+ (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (* 3 (log (/ 1 (- f))))))) into (- (+ (* 3 (log (/ -1 f))) (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))) (+ (* 96 (/ 1 (* (pow PI 2) (pow f 2)))) (* 1/320 (/ (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f)))))) (pow f 3))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 1 2 3 1 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 f))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 f)) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/192 (* (* PI f) (* PI f)) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI f) (* PI f))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI f) (* PI f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI f) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) in f * [misc]taylor: Taking taylor expansion of (pow (exp f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp f)) in f * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 f))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 f)) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))) * [misc]taylor: Taking taylor expansion of (* (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma 1/192 (* (* PI f) (* PI f)) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI f) (* PI f))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI f) (* PI f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI f) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow f 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* PI 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/2)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (* 2 (/ (sqrt 2) PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI PI) (* 0 0))) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) (+ (* 0 0) (* 0 0))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/192 (pow PI 2))) (+ (* PI 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)))) 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 (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/6) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 1/6) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* PI 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 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (pow PI 2)) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) 1) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))))) * [misc]backup-simplify: Simplify (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))))) into (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/46080 (* (pow PI 3) (sqrt 2))) (+ (* 1/3072 (/ (pow PI 3) (sqrt 2))) (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))))) (pow f 3)) (+ (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* PI (sqrt 2)))) f) (* (* 2 (/ (sqrt 2) PI)) (/ 1 f)))) into (- (+ (* 2 (/ (sqrt 2) (* PI f))) (+ (* 1/16 (/ (* f PI) (sqrt 2))) (* 7/46080 (* (pow PI 3) (* (pow f 3) (sqrt 2)))))) (+ (* 1/48 (* f (* PI (sqrt 2)))) (+ (* 1/1024 (/ (* (pow PI 3) (pow f 3)) (pow (sqrt 2) 3))) (* 1/3072 (/ (* (pow PI 3) (pow f 3)) (sqrt 2)))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ 1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 f)) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 f)) into (exp (/ 1 f)) * [misc]backup-simplify: Simplify (log (exp (/ 1 f))) into (/ 1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ 1 f)) into (* 1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* 1/4 (/ PI f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ 1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 (fma 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 f)) (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [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 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 f) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (* 1/192 (pow PI 3))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ 1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ 1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 f)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (/ PI f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (pow f -5)) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (- (* 3/5 (* (/ 1 (* PI (pow f 5))) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 3/5 (* (/ 1 (* PI (pow (/ 1 f) 5))) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (pow (/ 1 f) 6)) (+ (* (- (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f))))))))) (pow (/ 1 f) 5)) (* (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 f)))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (pow (/ 1 f) 3)))) into (- (* 192 (* (/ 1 (* (pow PI 3) (pow f 3))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 3/5 (* (/ 1 (* f PI)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 18432 (* (/ 1 (* (pow PI 5) (pow f 5))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ -1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1 PI)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (+ (pow (exp (/ 1 (- f))) (/ PI 4)) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (pow (exp (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (log (exp (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (log (exp (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (log (exp (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- f))) into (exp (/ -1 f)) * [misc]backup-simplify: Simplify (log (exp (/ -1 f))) into (/ -1 f) * [misc]backup-simplify: Simplify (* (* 1/4 PI) (/ -1 f)) into (* -1/4 (/ PI f)) * [misc]backup-simplify: Simplify (exp (* -1/4 (/ PI f))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (/ (- PI) (/ 4 (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (/ (- PI) (/ 4 (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (- PI) 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [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 (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ -1 f)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (* 0 (/ -1 f))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2)) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (fma 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) 1/2) in f * [misc]taylor: Rewrote expression to (+ (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) 1/2) * [misc]taylor: Taking taylor expansion of (* 1/192 (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) 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 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (* (pow PI 5) 1/61440) (pow (/ 1 (- f)) 5)) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) (* -1 PI)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 2)) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/192 (pow PI 2))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))) (- (* 1/192 (pow PI 3)))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [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 (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (* 0 (/ -1 f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) into (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ -1 f)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ -1 f)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ -1 f)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 f))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (/ PI f))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) 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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (* 1/61440 (pow PI 5)) (exp (* 5 (- (log -1) (log f))))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) into (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 3/5 (* (/ (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) PI) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 6)) (+ (* (* 18432 (* (/ 1 (pow PI 5)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))) (pow (/ 1 (- f)) 5)) (* (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (/ PI (/ 1 (- f))))) (exp (* 1/4 (/ PI (/ 1 (- f))))))))) (pow (/ 1 (- f)) 3)))) into (- (* 192 (* (/ 1 (* (pow PI 3) (pow f 3))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 3/5 (* (/ (exp (* 5 (- (log -1) (log (/ -1 f))))) (* PI (pow f 6))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 18432 (* (/ 1 (* (pow PI 5) (pow f 5))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 2 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 3 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1))) (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1))) (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (/ f 4) (- PI))))) 1)))) * [enter]simplify: Simplifying (log (cbrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 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 (80 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * * * * [misc]progress: [ 4 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 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 (80 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 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 (80 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (* (- PI) (/ f 4))))) 1))) * * * * [misc]progress: [ 5 / 123 ] 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 (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * * * * [misc]progress: [ 6 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * * [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 (78 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * * * * [misc]progress: [ 7 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))))) * * [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 (78 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * * * * [misc]progress: [ 8 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- PI) (/ f 4))))) 1)) * * * * [misc]progress: [ 9 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 12 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) * [exit]simplify: Simplified to (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) * * * * [misc]progress: [ 13 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) 1))) (cbrt (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) 1)))) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) 1))) (cbrt (log (/ (sqrt (+ (exp (* PI (/ f 4))) (exp (* (- PI) (/ f 4))))) 1)))) * [enter]simplify: Simplifying (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 14 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))) 1)) 3) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))) 1)) 3) * * * * [misc]progress: [ 15 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))) 1))) * * * * [misc]progress: [ 16 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (expm1 (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 18 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log1p (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 19 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [exit]simplify: Simplified to (log (* (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))))) * [enter]simplify: Simplifying (log (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * * * [misc]progress: [ 20 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * * * [misc]progress: [ 21 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * * [misc]simplify: iters left: 2 (487 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [exit]simplify: Simplified to (+ (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 22 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))) (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 23 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))))) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))))) * [enter]simplify: Simplifying (log (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 24 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 25 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 26 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1)) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 27 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 28 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 29 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 30 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 31 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 32 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 33 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (/ (sqrt 1) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 34 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 35 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [exit]simplify: Simplified to (log (/ (sqrt 1) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 36 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 37 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * * * * [misc]progress: [ 38 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) 1)) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) 1)) * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 39 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [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 (449 enodes) * [exit]simplify: Simplified to (- (log (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [exit]simplify: Simplified to (- (log (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 40 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [exit]simplify: Simplified to (- (log (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))))) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 41 / 123 ] 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 (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 42 / 123 ] 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 (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 43 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (log (/ 1 (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (- (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))) * [exit]simplify: Simplified to (- (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))) * * * * [misc]progress: [ 44 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (log (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) * [exit]simplify: Simplified to (log (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) * * * * [misc]progress: [ 45 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 46 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (log (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 50 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))) * * * * [misc]progress: [ 51 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * [exit]simplify: Simplified to (* (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) * [enter]simplify: Simplifying (cbrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (cbrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 52 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) 3) * [exit]simplify: Simplified to (pow (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) 3) * * * * [misc]progress: [ 53 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [enter]simplify: Simplifying (sqrt (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [exit]simplify: Simplified to (sqrt (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * * * * [misc]progress: [ 54 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * [exit]simplify: Simplified to (expm1 (pow PI 5)) * * * * [misc]progress: [ 56 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (pow PI 5)) * [exit]simplify: Simplified to (log1p (pow PI 5)) * * * * [misc]progress: [ 57 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log PI) 5) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 58 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (* 5 (log PI)) * [exit]simplify: Simplified to (* 5 (log PI)) * * * * [misc]progress: [ 60 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (pow PI 5)) * [exit]simplify: Simplified to (exp (pow PI 5)) * * * * [misc]progress: [ 61 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [exit]simplify: Simplified to (* (cbrt (pow PI 5)) (cbrt (pow PI 5))) * [enter]simplify: Simplifying (cbrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * [exit]simplify: Simplified to (cbrt (pow PI 5)) * * * * [misc]progress: [ 62 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow PI 5) (pow PI 5)) (pow PI 5)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * [exit]simplify: Simplified to (pow (pow PI 5) 3) * * * * [misc]progress: [ 63 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [enter]simplify: Simplifying (sqrt (pow PI 5)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * [exit]simplify: Simplified to (sqrt (pow PI 5)) * * * * [misc]progress: [ 64 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (expm1 (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (expm1 (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 66 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (log1p (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log1p (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 67 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (log (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * [exit]simplify: Simplified to (- (log (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (log (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow f 5) (pow PI 5)))))) * * * * [misc]progress: [ 69 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 70 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (exp (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 71 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (* (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))) (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))) (/ (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))) (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))) (/ (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * * * [misc]progress: [ 72 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 73 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))) (/ (* (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440)) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))) (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))) (/ (* (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440)) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))) (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 74 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 75 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (- (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [enter]simplify: Simplifying (- (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (fma (* (- f) PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (- 1/61440) (pow f 5)))) * [exit]simplify: Simplified to (fma (* (- f) PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (- 1/61440) (pow f 5)))) * * * * [misc]progress: [ 76 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ (cbrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 77 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 78 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1) (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1) (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * * * [misc]progress: [ 79 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 80 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* 1/61440 (* (pow PI 5) (pow f 5)))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 81 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * * * [misc]progress: [ 82 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 83 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 84 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * * * [misc]progress: [ 85 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 86 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 87 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))) * * * * [misc]progress: [ 88 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 89 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (pow f 5) (* 1/61440 (pow PI 5)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 90 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))) * * * * [misc]progress: [ 91 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (/ (- f) (/ 4 PI))) (pow (exp f) (/ PI 4))))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (cbrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 92 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (sqrt (fma (* f PI) (fma (* (* f PI) 1/192) (* f PI) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * * * [misc]progress: [ 93 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) 1) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * * * [misc]progress: [ 94 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 95 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * [exit]simplify: Simplified to (/ 1 (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 96 / 123 ] 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 (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma (* 1/192 (* f PI)) (* f PI) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))) * * * * [misc]progress: [ 97 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * [exit]simplify: Simplified to (/ 1 (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))) * [exit]simplify: Simplified to (/ 1 (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440))) * * * * [misc]progress: [ 99 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 100 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (* (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (* (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))) (cbrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * * * * [misc]progress: [ 101 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) (sqrt (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5))))) * * * * [misc]progress: [ 102 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (pow (exp f) (/ PI 4)))) 1) * * * * [misc]progress: [ 103 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)) (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)) (cbrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 104 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)) (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)) (sqrt (cbrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 105 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)) (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)) (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 106 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 107 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 108 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)) (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)) (sqrt (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))) * * * * [misc]progress: [ 109 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * [exit]simplify: Simplified to (/ (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))) (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))) * * * * [misc]progress: [ 110 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (+ (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))) (- (* (exp (/ (- PI) (/ 4 f))) (exp (/ (- PI) (/ 4 f)))) (* (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (* (sqrt (fma (exp (/ (- PI) (/ 4 f))) (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))) * [exit]simplify: Simplified to (* (sqrt (fma (exp (/ (- PI) (/ 4 f))) (- (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4))) (* (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))) * * * * [misc]progress: [ 111 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))) (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))) * [exit]simplify: Simplified to (* (sqrt (- (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440)))) * * * * [misc]progress: [ 112 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (- (+ (* 1/6144 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/32 (/ (* (pow PI 2) (pow f 2)) (pow (sqrt 2) 2))))) (* 1/1024 (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) PI) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (310 enodes) * [exit]simplify: Simplified to (/ (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (fma (/ (pow f 4) (/ 2 (pow PI 4))) 1/6144 (- (fma (/ (* (* f PI) (* f PI)) 2) 1/32 (log (sqrt 2))) (/ (* (* (pow f 4) 1/1024) (pow PI 4)) (pow (sqrt 2) 4))))) (/ PI (- 4))) * * * * [misc]progress: [ 113 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) PI) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (* (log (sqrt (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ (- 4) PI))) * * * * [misc]progress: [ 114 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) PI) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma (* (* PI f) (* PI f)) 1/192 1/2) (* (* (pow PI 5) (pow f 5)) 1/61440)))) (* (log (sqrt (+ (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ (- 4) PI))) * * * * [misc]progress: [ 115 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (- (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (* 1/46080 (* (pow PI 4) (pow f 4)))))) (+ (log f) (+ (* 1/96 (* (pow f 2) (pow PI 2))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))))))) PI) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (- (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (- (- (log 1) (fma (* (* PI PI) (/ f (/ 2 f))) 1/32 (log (* (/ 2 PI) (sqrt 2))))) (- (fma 1/46080 (* (pow PI 4) (pow f 4)) (* (/ 1/6144 2) (* (pow PI 4) (pow f 4)))) (fma 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)) (fma 1/96 (* (* PI PI) (* f f)) (log f))))))) * * * * [misc]progress: [ 116 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (- (+ (log (* 192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (* (pow PI 2) (pow f 2))) (* 96 (/ 1 (* (pow PI 2) (pow f 2)))))))) PI) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (125 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (+ (+ (- (* (- 3) (log f)) (fma 1/320 (* (* f f) (* PI PI)) (/ 96 (* (* f f) (* PI PI))))) (log 192)) (- (log (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* 3 (log PI)))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI))))) 1)))) * * * * [misc]progress: [ 117 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (- (+ (* 3 (log (/ -1 f))) (log (* -192 (* (/ 1 (pow PI 3)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))))) (+ (* 96 (/ 1 (* (pow PI 2) (pow f 2)))) (* 1/320 (/ (* (pow PI 2) (exp (* 5 (- (log -1) (log (/ -1 f)))))) (pow f 3))))))) PI) * * [misc]simplify: iters left: 6 (59 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (379 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) 1)) (- (- (log (sqrt (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (- (* 3 (log PI)) (log -192))) (- (fma 1/320 (* (/ (* PI PI) (pow f 3)) (pow (exp 5) (+ 0 (log f)))) (/ 96 (* (* f f) (* PI PI)))) (* 3 (log (/ -1 f))))))) * * * * [misc]progress: [ 118 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) PI) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * * * * [misc]progress: [ 119 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) PI) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * * * * [misc]progress: [ 120 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) PI) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow PI 5) (* (pow f 5) 1/61440))))))) * * * * [misc]progress: [ 121 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (- (+ (* 2 (/ (sqrt 2) (* PI f))) (+ (* 1/16 (/ (* f PI) (sqrt 2))) (* 7/46080 (* (pow PI 3) (* (pow f 3) (sqrt 2)))))) (+ (* 1/48 (* f (* PI (sqrt 2)))) (+ (* 1/1024 (/ (* (pow PI 3) (pow f 3)) (pow (sqrt 2) 3))) (* 1/3072 (/ (* (pow PI 3) (pow f 3)) (sqrt 2))))))))) PI) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (138 enodes) * * [misc]simplify: iters left: 4 (415 enodes) * [exit]simplify: Simplified to (* (+ (log (- (fma (* (* 7/46080 (* f f)) (* (* f PI) (* PI PI))) (sqrt 2) (fma 2 (/ (sqrt 2) (* f PI)) (* 1/16 (/ (* f PI) (sqrt 2))))) (fma (* 1/48 (* f PI)) (sqrt 2) (* (/ (* (* f PI) (* PI PI)) (/ (sqrt 2) (* f f))) (+ 1/3072 (/ 1/1024 2)))))) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) 1))) (- (/ 4 PI))) * * * * [misc]progress: [ 122 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (- (* 192 (* (/ 1 (* (pow PI 3) (pow f 3))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 3/5 (* (/ 1 (* f PI)) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 18432 (* (/ 1 (* (pow PI 5) (pow f 5))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))))) PI) * * [misc]simplify: iters left: 6 (52 enodes) * * [misc]simplify: iters left: 5 (126 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (* (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (log (* (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (- (- (* (/ 192 (pow f 3)) (/ (/ 1 PI) (* PI PI))) (/ 3/5 (* f PI))) (/ (/ 18432 (pow PI 5)) (pow f 5)))))) (- (/ 4 PI))) * * * * [misc]progress: [ 123 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (- (* 192 (* (/ 1 (* (pow PI 3) (pow f 3))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (+ (* 3/5 (* (/ (exp (* 5 (- (log -1) (log (/ -1 f))))) (* PI (pow f 6))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* 18432 (* (/ 1 (* (pow PI 5) (pow f 5))) (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))))) PI) * * [misc]simplify: iters left: 6 (61 enodes) * * [misc]simplify: iters left: 5 (145 enodes) * * [misc]simplify: iters left: 4 (358 enodes) * [exit]simplify: Simplified to (* (- (/ 4 PI)) (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) 1)) (log (* (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (- (* (/ 192 (pow f 3)) (/ (/ 1 PI) (* PI PI))) (fma 3/5 (/ (pow (exp 5) (+ 0 (log f))) (* (pow f 6) PI)) (/ 18432 (* (pow PI 5) (pow f 5))))))))) * * * [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 (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* (- 4) (+ (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) 1)) (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * * [misc]simplify: iters left: 6 (40 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to (* (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) 1)) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (- 4)) * [exit]simplify: Simplified to (* (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) 1)) (log (/ (sqrt (+ (exp (/ (- PI) (/ 4 f))) (pow (exp f) (/ PI 4)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (- 4))