* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 191 additional inputs, on iter 1 have 65 / 256 * * * * [misc]points: Computing exacts on every 11 of 191 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 191 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 191 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 191 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 134 additional inputs, on iter 2 have 122 / 256 * * * * [misc]points: Computing exacts on every 8 of 134 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 134 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 134 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 134 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 99 additional inputs, on iter 3 have 157 / 256 * * * * [misc]points: Computing exacts on every 6 of 99 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 99 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 99 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 84 additional inputs, on iter 4 have 172 / 256 * * * * [misc]points: Computing exacts on every 5 of 84 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 84 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 84 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 56 additional inputs, on iter 5 have 200 / 256 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 56 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 44 additional inputs, on iter 6 have 212 / 256 * * * * [misc]points: Computing exacts on every 2 of 44 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 44 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 31 additional inputs, on iter 7 have 225 / 256 * * * * [misc]points: Computing exacts for 31 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 8 have 234 / 256 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 9 have 239 / 256 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 10 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 11 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [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 (89 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ -4 PI)) * * [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) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) * [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 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 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) * [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 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * [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: [ 4 / 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 (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log 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]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: simplifying candidates * * * * [misc]progress: [ 1 / 182 ] 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 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (log (exp (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))))))) * * * * [misc]progress: [ 2 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 182 ] 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 (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))) * [misc]simplify: Simplified (2 1 2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ (- PI) (/ 4 f))))) (- (sqrt (exp (* (/ PI 4) f))) (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 (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))))))) * * * * [misc]progress: [ 13 / 182 ] 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 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (* 1 (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))))) * * * * [misc]progress: [ 14 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 182 ] 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 (51 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (exp (- (log (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (log (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))))))) * * * * [misc]progress: [ 17 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 182 ] 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 (171 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) 3) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (cbrt (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) 3)))))) * * * * [misc]progress: [ 20 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 182 ] 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 (65 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * [exit]simplify: Simplified to (* (/ (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))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (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))))))) (/ (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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 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))))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))))) * * * * [misc]progress: [ 25 / 182 ] 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 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (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))))) (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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 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)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))))) * * * * [misc]progress: [ 26 / 182 ] 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 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 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))))) (- (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 (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))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 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))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))) * * * * [misc]progress: [ 27 / 182 ] 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))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 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))))) (/ (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)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 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)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f))))))))))) * * * * [misc]progress: [ 28 / 182 ] 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 (49 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 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))))) (- (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 (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))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 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))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))) * * * * [misc]progress: [ 29 / 182 ] 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 (51 enodes) * * [misc]simplify: iters left: 3 (58 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)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 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)))))) (/ (sqrt (+ (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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 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))))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))))) * * * * [misc]progress: [ 30 / 182 ] 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (/ (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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))))) * * * * [misc]progress: [ 31 / 182 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))) * * * * [misc]progress: [ 32 / 182 ] 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))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (* (/ PI 4) f))))) (/ (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)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) (- f))))))))))) * * * * [misc]progress: [ 33 / 182 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))) * * * * [misc]progress: [ 34 / 182 ] 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (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)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))) * * * * [misc]progress: [ 35 / 182 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))) * * * * [misc]progress: [ 36 / 182 ] 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 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 37 / 182 ] 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 f) 4))) (sqrt (exp (* (- f) (/ PI 4)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (* (- f) (/ PI 4)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (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 (* (- f) (/ PI 4)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))))))) * * * * [misc]progress: [ 38 / 182 ] 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 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 39 / 182 ] 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (- (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)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))) * * * * [misc]progress: [ 40 / 182 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))))))) * * * * [misc]progress: [ 41 / 182 ] 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 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 42 / 182 ] 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 f) 4))) (sqrt (exp (* (- f) (/ PI 4)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (/ (* PI f) 4))) (sqrt (exp (* (- f) (/ PI 4)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (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 (* (- f) (/ PI 4)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4))))))))))) * * * * [misc]progress: [ 43 / 182 ] 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 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 44 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (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 (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))))) * * * * [misc]progress: [ 48 / 182 ] 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 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))))))) * * * * [misc]progress: [ 49 / 182 ] 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 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))) * * * * [misc]progress: [ 50 / 182 ] 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 (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 (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 51 / 182 ] 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 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) 1) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))) * * * * [misc]progress: [ 52 / 182 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (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)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 53 / 182 ] 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 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 54 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 182 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (+ (+ (pow (* (exp f) (exp f)) (- (/ PI 4))) (exp (* (+ f f) (/ PI 4)))) 1) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))) (+ (+ (pow (* (exp f) (exp f)) (- (/ PI 4))) (exp (* (+ f f) (/ PI 4)))) 1)))))) * * * * [misc]progress: [ 57 / 182 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * [exit]simplify: Simplified to (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 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)))))) (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))))))) * * * * [misc]progress: [ 58 / 182 ] 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 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (+ (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f 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]progress: [ 59 / 182 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) (+ f f))) (pow (* (exp f) (exp f)) (- (/ PI 4)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (- (exp (* (/ PI 4) (+ f f))) (pow (* (exp f) (exp f)) (- (/ PI 4)))) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 60 / 182 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 61 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 182 ] 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 (63 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ PI 4))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ PI 4)))))) * * * * [misc]progress: [ 63 / 182 ] 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 (72 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (log (/ PI 4))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))))) (log (/ PI 4)))))) * * * * [misc]progress: [ 64 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 182 ] 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 (126 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (* (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f))))))) (/ (log (/ (+ (exp (/ (- PI) (/ 4 f))) (exp (/ (* PI f) 4))) (- (exp (/ (* PI f) 4)) (exp (/ (- PI) (/ 4 f)))))) (* (/ PI 4) (* (/ PI 4) (/ PI 4)))))))) * * * * [misc]progress: [ 67 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 182 ] 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)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (187 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)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 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))))))))) (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))))) * * * * [misc]progress: [ 72 / 182 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (187 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)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))))) * * * * [misc]progress: [ 73 / 182 ] 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)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 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))))))))) (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))))))) * * * * [misc]progress: [ 74 / 182 ] simplifiying candidate # * [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 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 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)))))))) (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))))))) * * * * [misc]progress: [ 75 / 182 ] 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))))))) * * [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 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))))) * * * * [misc]progress: [ 76 / 182 ] simplifiying candidate # * [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 (292 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 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)))))))) (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 77 / 182 ] 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))))))) * * [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 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (* (log (/ (cbrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))))) * * * * [misc]progress: [ 78 / 182 ] 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)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 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))))))))) (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))))))) * * * * [misc]progress: [ 79 / 182 ] 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 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))))))) * * * * [misc]progress: [ 80 / 182 ] 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 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (* (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))))) * * * * [misc]progress: [ 81 / 182 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ PI (/ 4 f))))) (- (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 82 / 182 ] 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 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (* (log (/ (sqrt (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f))))) (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI)))))) (/ 4 PI))))) * * * * [misc]progress: [ 83 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 84 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 85 / 182 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 86 / 182 ] simplifiying candidate # * [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 (290 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI))))))))))) * * * * [misc]progress: [ 87 / 182 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 88 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 89 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (/ PI (/ 4 f)))) (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ f 4) (- PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 90 / 182 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 91 / 182 ] simplifiying candidate # * [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 (290 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI))))))))))) * * * * [misc]progress: [ 92 / 182 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 93 / 182 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 94 / 182 ] simplifiying candidate # * [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 (148 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (/ (log (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (/ (/ PI 4) -1)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (log (- (exp (/ PI (/ 4 f))) (exp (* (/ PI 4) (- f))))) (/ (/ PI 4) -1))))) * * * * [misc]progress: [ 95 / 182 ] 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 (108 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (/ (log (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (+ 1 (exp (* (+ f f) (/ PI 4)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) (/ (log (+ (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (+ 1 (exp (* (+ f f) (/ PI 4)))))) (/ PI 4))))) * * * * [misc]progress: [ 96 / 182 ] 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 (152 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 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)))))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (/ PI 4))))) * * * * [misc]progress: [ 97 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (222 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)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (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))) (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))))) * * * * [misc]progress: [ 98 / 182 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (222 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)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ PI 4))))) * * * * [misc]progress: [ 99 / 182 ] 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 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (429 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)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (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))) (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 100 / 182 ] simplifiying candidate # * [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 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (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))) (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 101 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI))))) * * * * [misc]progress: [ 102 / 182 ] simplifiying candidate # * [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 (142 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (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))) (/ (log (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))))) * * * * [misc]progress: [ 103 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI))))) * * * * [misc]progress: [ 104 / 182 ] simplifiying candidate # * [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 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (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))) (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 105 / 182 ] 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 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 106 / 182 ] 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 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI))))) * * * * [misc]progress: [ 107 / 182 ] 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 (41 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (432 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)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ PI 4))))) * * * * [misc]progress: [ 108 / 182 ] 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 (39 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))) (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))))) (/ 4 PI))))) * * * * [misc]progress: [ 109 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI))))) * * * * [misc]progress: [ 110 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI))))) * * * * [misc]progress: [ 111 / 182 ] simplifiying candidate # * [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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))))) * * * * [misc]progress: [ 112 / 182 ] simplifiying candidate # * [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 (138 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 113 / 182 ] simplifiying candidate # * [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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))))) * * * * [misc]progress: [ 114 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI))))) * * * * [misc]progress: [ 115 / 182 ] simplifiying candidate # * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f)))) (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- PI) (/ 4 f))))))) (/ 4 PI))))) * * * * [misc]progress: [ 116 / 182 ] simplifiying candidate # * [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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))))) * * * * [misc]progress: [ 117 / 182 ] simplifiying candidate # * [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 (138 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (* (/ f 4) (- PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 118 / 182 ] simplifiying candidate # * [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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))))) * * * * [misc]progress: [ 119 / 182 ] simplifiying candidate # * [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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) (/ PI 4))))) * * * * [misc]progress: [ 120 / 182 ] simplifiying candidate # * [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 (156 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * [exit]simplify: Simplified to (* (/ -4 PI) (log (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (* (/ -4 PI) (log (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))))))) * * * * [misc]progress: [ 121 / 182 ] 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 (108 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (+ (+ (pow (exp (/ PI 4)) (- (+ f f))) (exp (/ (+ f f) (/ 4 PI)))) 1))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (+ (+ (pow (exp (/ PI 4)) (- (+ f f))) (exp (/ (+ f f) (/ 4 PI)))) 1)))))) * * * * [misc]progress: [ 122 / 182 ] 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 (99 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (log (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (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))) (/ (log (+ (exp (* f (/ PI 4))) (exp (* (/ PI 4) (- f))))) (/ PI 4))))) * * * * [misc]progress: [ 123 / 182 ] 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 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))) * * * * [misc]progress: [ 124 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 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))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 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))))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))) * * * * [misc]progress: [ 125 / 182 ] 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 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))))) * * * * [misc]progress: [ 126 / 182 ] 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 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))))) * * * * [misc]progress: [ 127 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 128 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 129 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 131 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (/ 1 PI) (* 4 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 132 / 182 ] 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 (57 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (/ PI 4)))) * * * * [misc]progress: [ 133 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 182 ] 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 (51 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 135 / 182 ] 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 136 / 182 ] 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 (77 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 137 / 182 ] 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 (61 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (/ (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (sqrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))) (cbrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 138 / 182 ] 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 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 139 / 182 ] 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 (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (+ (sqrt (exp (* (- f) (/ PI 4)))) (sqrt (exp (/ PI (/ 4 f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 140 / 182 ] 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 (57 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f)))))) (log (cbrt (+ (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 141 / 182 ] 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 (59 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (* (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (* (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 142 / 182 ] 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 (54 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 143 / 182 ] 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 144 / 182 ] 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 (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (/ (* f PI) 4)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (+ (sqrt (exp (* (/ PI 4) (- f)))) (sqrt (exp (/ (* f PI) 4)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 145 / 182 ] 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 146 / 182 ] 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 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (86 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)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (- (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (- (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 147 / 182 ] 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 (57 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 148 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 149 / 182 ] 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 150 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 151 / 182 ] 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 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (86 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)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (- (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (- (log (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 152 / 182 ] 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 (57 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 153 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 154 / 182 ] 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (- (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (+ (sqrt (exp (/ PI (/ 4 f)))) (sqrt (exp (* (/ PI 4) (- f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 155 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 156 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 157 / 182 ] 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 (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 158 / 182 ] 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 (78 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (- (pow (exp (/ PI 4)) (+ f (+ f f))) (pow (exp (/ PI 4)) (- (- f) (+ f f)))))) (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]progress: [ 159 / 182 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (331 enodes) * [exit]simplify: Simplified to (- (log (+ (pow (exp f) (/ PI 4)) (/ -1 (pow (exp f) (/ PI 4)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (+ (pow (exp f) (/ PI 4)) (/ -1 (pow (exp f) (/ PI 4)))))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 160 / 182 ] 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 (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 161 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 182 ] 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 (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 164 / 182 ] 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 (25 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)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))))) * * * * [misc]progress: [ 165 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 168 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 169 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 170 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* PI f) 1/2)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (* (* (* PI f) 1/192) (* (* PI f) (* PI f))) (* 1/61440 (* (pow PI 5) (pow f 5)))) (* (* PI f) 1/2))))))) * * * * [misc]progress: [ 172 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) * * * * [misc]progress: [ 173 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/4 (* PI f))) (exp (* -1/4 (* PI f)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))))) * * * * [misc]progress: [ 174 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* -1/2880 (* PI PI)) (* (* f f) (* PI f)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* -1/2880 (* PI PI)) (* (* f f) (* PI f)))))))) * * * * [misc]progress: [ 175 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (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 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * [exit]simplify: Simplified to (/ (+ (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]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (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: [ 176 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (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 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (+ (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]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (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: [ 177 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) * * * * [misc]progress: [ 178 / 182 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (148 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]simplify: Simplified (2 1) to (λ (f) (- (/ (log (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ PI 4)))) * * * * [misc]progress: [ 179 / 182 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (* (log (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (* (log (/ (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (- (pow (exp 1/4) (* PI f)) (pow (exp -1/4) (* PI f))))) (/ 4 PI)))) * * * * [misc]progress: [ 180 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 181 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * [exit]simplify: Simplified to (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]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (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: [ 182 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (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 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (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]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (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: 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 1 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log 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 (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) in f * [misc]taylor: Taking taylor expansion of (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow f 2) (pow PI 2))) in f * [misc]taylor: Taking taylor expansion of 1/48 in f * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow f 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) in f * [misc]taylor: Taking taylor expansion of (* 7/23040 (* (pow f 4) (pow PI 4))) in f * [misc]taylor: Taking taylor expansion of 7/23040 in f * [misc]backup-simplify: Simplify 7/23040 into 7/23040 * [misc]taylor: Taking taylor expansion of (* (pow f 4) (pow PI 4)) in f * [misc]taylor: Taking taylor expansion of (pow f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log 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 (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) in f * [misc]taylor: Taking taylor expansion of (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow f 2) (pow PI 2))) in f * [misc]taylor: Taking taylor expansion of 1/48 in f * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow f 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) in f * [misc]taylor: Taking taylor expansion of (* 7/23040 (* (pow f 4) (pow PI 4))) in f * [misc]taylor: Taking taylor expansion of 7/23040 in f * [misc]backup-simplify: Simplify 7/23040 into 7/23040 * [misc]taylor: Taking taylor expansion of (* (pow f 4) (pow PI 4)) in f * [misc]taylor: Taking taylor expansion of (pow f 4) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (log f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (log (/ 4 PI)) 0) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) 0) into (log f) * [misc]backup-simplify: Simplify (+ 0 (log f)) into (log f) * [misc]backup-simplify: Simplify (- (log f)) into (- (log f)) * [misc]backup-simplify: Simplify (+ (log (/ 4 PI)) (- (log f))) 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 (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) 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 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 (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 4 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (pow PI 2))) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow PI 2)) 0) 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 (+ (* (/ 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 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 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 (* 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 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ 4 PI) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) * [misc]backup-simplify: Simplify (* 1 (pow PI 4)) into (pow PI 4) * [misc]backup-simplify: Simplify (* 7/23040 (pow PI 4)) into (* 7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 (pow PI 4)) 0) 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 (+ 0 (- (* 7/23040 (pow PI 4)))) 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 (+ (* (/ 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 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) (log (/ 1 f))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) (log (/ 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 (/ 4 PI)) (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2)))) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2))) in f * [misc]taylor: Taking taylor expansion of 1/48 in f * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 2) 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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) in f * [misc]taylor: Taking taylor expansion of 7/23040 in f * [misc]backup-simplify: Simplify 7/23040 into 7/23040 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 4) (pow PI 4)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) (log (/ 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 (/ 4 PI)) (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2)))) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow (/ 1 f) 2) (pow PI 2))) in f * [misc]taylor: Taking taylor expansion of 1/48 in f * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 2) 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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 7/23040 (* (pow (/ 1 f) 4) (pow PI 4))) in f * [misc]taylor: Taking taylor expansion of 7/23040 in f * [misc]backup-simplify: Simplify 7/23040 into 7/23040 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 4) (pow PI 4)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [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 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) * [misc]backup-simplify: Simplify (* 1 (pow PI 4)) into (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)) 0) 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 (+ 0 (- (* 7/23040 (pow PI 4)))) into (- (* 7/23040 (pow PI 4))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (* 7/23040 (pow PI 4)))) 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 (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 4))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 0) (* 0 (pow PI 4))) 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 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 (- (* 7/23040 (pow PI 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (pow PI 2))) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 0) (+ (* 0 0) (* 0 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow PI 2)) 0) 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 (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (* 7/23040 (pow PI 4)))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4))))) 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 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 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (* 7/23040 (pow PI 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (log (/ 4 PI)) 0) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ 0 (- (log f))) into (- (log f)) * [misc]backup-simplify: Simplify (- (- (log f))) into (log f) * [misc]backup-simplify: Simplify (+ (log (/ 4 PI)) (log f)) into (+ (log (/ 4 PI)) (log f)) * [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) (+ (log (/ 4 PI)) (log f))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (* 7/23040 (pow PI 4)))))))) into (+ (* 4 (/ (log f) PI)) (* 4 (/ (log (/ 4 PI)) PI))) * [misc]backup-simplify: Simplify (+ (* 4 (/ (log f) PI)) (* 4 (/ (log (/ 4 PI)) PI))) into (+ (* 4 (/ (log f) PI)) (* 4 (/ (log (/ 4 PI)) PI))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (+ (* (* 1/12 PI) (pow (/ 1 (/ 1 f)) 2)) (* (* -7/5760 (pow PI 3)) (pow (/ 1 (/ 1 f)) 4)))) into (- (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI)))) (* 7/5760 (* (pow f 4) (pow PI 3)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) (log (/ 1 (- f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) (log (/ 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 (/ 4 PI)) (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2)))) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2))) in f * [misc]taylor: Taking taylor expansion of 1/48 in f * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 2) 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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) in f * [misc]taylor: Taking taylor expansion of 7/23040 in f * [misc]backup-simplify: Simplify 7/23040 into 7/23040 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 4) (pow PI 4)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) (log (/ 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 (/ 4 PI)) (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2)))) (+ (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (+ (log (/ 4 PI)) (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2)))) in f * [misc]taylor: Taking taylor expansion of (log (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* 1/48 (* (pow (/ 1 (- f)) 2) (pow PI 2))) in f * [misc]taylor: Taking taylor expansion of 1/48 in f * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 2) 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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* 7/23040 (* (pow (/ 1 (- f)) 4) (pow PI 4))) in f * [misc]taylor: Taking taylor expansion of 7/23040 in f * [misc]backup-simplify: Simplify 7/23040 into 7/23040 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 4) (pow PI 4)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 4) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [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 -1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) * [misc]backup-simplify: Simplify (* 1 (pow PI 4)) into (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)) 0) 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 (+ 0 (- (* 7/23040 (pow PI 4)))) into (- (* 7/23040 (pow PI 4))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (* 7/23040 (pow PI 4)))) 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 (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 4))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 0) (* 0 (pow PI 4))) 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 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 (- (* 7/23040 (pow PI 4))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (pow PI 2))) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 0) (+ (* 0 0) (* 0 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (pow PI 2)) 0) 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 (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (* 7/23040 (pow PI 4)))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4))))) 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 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 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (* 7/23040 (pow PI 4))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ (log (/ 4 PI)) 0) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 7/23040 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 4)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ 0 (- (log -1) (log f))) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (- (- (log -1) (log f))) into (- (log f) (log -1)) * [misc]backup-simplify: Simplify (+ (log (/ 4 PI)) (- (log f) (log -1))) into (- (+ (log (/ 4 PI)) (log f)) (log -1)) * [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) (- (+ (log (/ 4 PI)) (log f)) (log -1))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (* 7/23040 (pow PI 4)))))))) into (- (+ (* 4 (/ (log f) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (* 4 (/ (log -1) PI))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ (log f) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (* 4 (/ (log -1) PI))) into (- (+ (* 4 (/ (log f) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (* 4 (/ (log -1) PI))) * [misc]backup-simplify: Simplify (+ (- (+ (* 4 (/ (log (/ 1 (- f))) PI)) (* 4 (/ (log (/ 4 PI)) PI))) (* 4 (/ (log -1) PI))) (+ (* (* 1/12 PI) (pow (/ 1 (/ 1 (- f))) 2)) (* (* -7/5760 (pow PI 3)) (pow (/ 1 (/ 1 (- f))) 4)))) into (- (+ (* 4 (/ (log (/ -1 f)) PI)) (+ (* 1/12 (* (pow f 2) PI)) (* 4 (/ (log (/ 4 PI)) PI)))) (+ (* 7/5760 (* (pow f 4) (pow PI 3))) (* 4 (/ (log -1) PI)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 2 2) * [misc]approximate: Taking taylor expansion of (* (pow f 2) (pow PI 2)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (pow f 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (pow f 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow f 2) in f * [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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (pow PI 2) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow f 2)) into (* (pow f 2) (pow PI 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 f) 2) (pow PI 2)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 2) 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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 2) 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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (pow PI 2) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow (/ 1 (/ 1 f)) 2)) into (* (pow f 2) (pow PI 2)) * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 (- f)) 2) (pow PI 2)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 2) 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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 2) (pow PI 2)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 2) 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 (pow PI 2) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) * [misc]backup-simplify: Simplify (pow PI 2) into (pow PI 2) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow (/ 1 (/ 1 (- f))) 2)) into (* (pow f 2) (pow PI 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (+ (log (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) (log (cbrt (/ 4 PI)))) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 2 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 3 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (+ 0 (log (/ 4 PI))) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 4 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (+ (log 4) (log (/ 1 PI))) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 5 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 4) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (- (log 4) (log PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 6 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 4 PI) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 9 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (487 enodes) * [exit]simplify: Simplified to (+ (+ (* (* (/ 4 PI) 1/48) (* (* f PI) (* f PI))) (* (log (/ 4 PI)) (/ 4 PI))) (+ (* (- (log f)) (/ 4 PI)) (* (* (pow f 4) -7/23040) (* (pow PI 4) (/ 4 PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (+ (+ (* (* (/ 4 PI) 1/48) (* (* f PI) (* f PI))) (* (log (/ 4 PI)) (/ 4 PI))) (+ (* (- (log f)) (/ 4 PI)) (* (* (pow f 4) -7/23040) (* (pow PI 4) (/ 4 PI))))) 1))) * * * * [misc]progress: [ 24 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (- (- (* (* (* PI f) (* PI f)) 1/48) (log f)) (- (* (* 7/23040 (pow f 4)) (pow PI 4)) (log (/ 4 PI)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (+ (log (/ 4 PI)) (log (- (- (* (* (* PI f) (* PI f)) 1/48) (log f)) (- (* (* 7/23040 (pow f 4)) (pow PI 4)) (log (/ 4 PI))))))))) * * * * [misc]progress: [ 26 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (+ (log (- (* (* (* PI f) (* PI f)) 1/48) (+ (* (* 7/23040 (pow f 4)) (pow PI 4)) (- (log f) (log (/ 4 PI)))))) (log (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (+ (log (- (* (* (* PI f) (* PI f)) 1/48) (+ (* (* 7/23040 (pow f 4)) (pow PI 4)) (- (log f) (log (/ 4 PI)))))) (log (/ 4 PI)))))) * * * * [misc]progress: [ 27 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (* (+ (- (* (* (pow f 4) (pow PI 4)) -7/23040) (log f)) (+ (* (* (* PI PI) (* f f)) 1/48) (log (/ 4 PI)))) (+ (- (* (* (pow f 4) (pow PI 4)) -7/23040) (log f)) (+ (* (* (* PI PI) (* f f)) 1/48) (log (/ 4 PI))))) (* (pow (/ 4 PI) 3) (+ (- (* (* (pow f 4) (pow PI 4)) -7/23040) (log f)) (+ (* (* (* PI PI) (* f f)) 1/48) (log (/ 4 PI)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (+ (- (* (* (pow f 4) (pow PI 4)) -7/23040) (log f)) (+ (* (* (* PI PI) (* f f)) 1/48) (log (/ 4 PI)))) (+ (- (* (* (pow f 4) (pow PI 4)) -7/23040) (log f)) (+ (* (* (* PI PI) (* f f)) 1/48) (log (/ 4 PI))))) (* (pow (/ 4 PI) 3) (+ (- (* (* (pow f 4) (pow PI 4)) -7/23040) (log f)) (+ (* (* (* PI PI) (* f f)) 1/48) (log (/ 4 PI))))))))) * * * * [misc]progress: [ 30 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (* (+ (pow (log (/ 4 PI)) 3) (pow (* 1/48 (* (pow f 2) (pow PI 2))) 3)) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (+ (pow (* 7/23040 (* (pow f 4) (pow PI 4))) 3) (pow (log f) 3))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (117 enodes) * * [misc]simplify: iters left: 4 (436 enodes) * [exit]simplify: Simplified to (- (* (+ (* (* 49/530841600 (* (pow PI 4) (pow f 4))) (* (pow PI 4) (pow f 4))) (- (* (log f) (log f)) (* (* 7/23040 (pow PI 4)) (* (pow f 4) (log f))))) (+ (pow (log (/ 4 PI)) 3) (* (* 1/110592 (* (* f f) (* PI PI))) (* (* (* f f) (* PI PI)) (* (* f f) (* PI PI)))))) (* (+ (* (* 343/12230590464000 (* (pow PI 4) (pow f 4))) (* (* (pow PI 4) (pow f 4)) (* (pow PI 4) (pow f 4)))) (pow (log f) 3)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (- (* (* 1/48 f) (* (* f PI) PI)) (log (/ 4 PI))) (* (* 1/48 f) (* (* f PI) PI)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (- (* (+ (* (* 49/530841600 (* (pow PI 4) (pow f 4))) (* (pow PI 4) (pow f 4))) (- (* (log f) (log f)) (* (* 7/23040 (pow PI 4)) (* (pow f 4) (log f))))) (+ (pow (log (/ 4 PI)) 3) (* (* 1/110592 (* (* f f) (* PI PI))) (* (* (* f f) (* PI PI)) (* (* f f) (* PI PI)))))) (* (+ (* (* 343/12230590464000 (* (pow PI 4) (pow f 4))) (* (* (pow PI 4) (pow f 4)) (* (pow PI 4) (pow f 4)))) (pow (log f) 3)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (- (* (* 1/48 f) (* (* f PI) PI)) (log (/ 4 PI))) (* (* 1/48 f) (* (* f PI) PI)))))) (* (/ PI 4) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))))) * [enter]simplify: Simplifying (* (/ PI 4) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (* (* (/ PI 4) (+ (* (* (pow f 4) (pow PI 4)) (* (* (pow f 4) (pow PI 4)) 49/530841600)) (- (* (log f) (log f)) (* (* (pow PI 4) (log f)) (* (pow f 4) 7/23040))))) (+ (* (- (* (* f 1/48) (* (* f PI) PI)) (log (/ 4 PI))) (* (* f 1/48) (* (* f PI) PI))) (* (log (/ 4 PI)) (log (/ 4 PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* 1 (- (* (+ (pow (log (/ 4 PI)) 3) (pow (* 1/48 (* (pow f 2) (pow PI 2))) 3)) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (+ (pow (* 7/23040 (* (pow f 4) (pow PI 4))) 3) (pow (log f) 3))))) (* (* (/ PI 4) (+ (* (* (pow f 4) (pow PI 4)) (* (* (pow f 4) (pow PI 4)) 49/530841600)) (- (* (log f) (log f)) (* (* (pow PI 4) (log f)) (* (pow f 4) 7/23040))))) (+ (* (- (* (* f 1/48) (* (* f PI) PI)) (log (/ 4 PI))) (* (* f 1/48) (* (* f PI) PI))) (* (log (/ 4 PI)) (log (/ 4 PI)))))))) * * * * [misc]progress: [ 34 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (* (+ (pow (log (/ 4 PI)) 3) (pow (* 1/48 (* (pow f 2) (pow PI 2))) 3)) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (- (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (* (log f) (log f)))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* (* (* PI PI) (* 1/48 f)) f) (- (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI)))) (* (log (/ 4 PI)) (log (/ 4 PI)))) (* (+ (* 7/23040 (* (pow PI 4) (pow f 4))) (log f)) (- (- (* 7/23040 (* (pow PI 4) (pow f 4))) (log f))))) (* (- (* 7/23040 (* (pow PI 4) (pow f 4))) (log f)) (+ (pow (log (/ 4 PI)) 3) (* (* 1/110592 (* (* f f) (* PI PI))) (* (* (* f f) (* PI PI)) (* (* f f) (* PI PI))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (+ (* (+ (* (* (* (* PI PI) (* 1/48 f)) f) (- (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI)))) (* (log (/ 4 PI)) (log (/ 4 PI)))) (* (+ (* 7/23040 (* (pow PI 4) (pow f 4))) (log f)) (- (- (* 7/23040 (* (pow PI 4) (pow f 4))) (log f))))) (* (- (* 7/23040 (* (pow PI 4) (pow f 4))) (log f)) (+ (pow (log (/ 4 PI)) 3) (* (* 1/110592 (* (* f f) (* PI PI))) (* (* (* f f) (* PI PI)) (* (* f f) (* PI PI))))))) (* (/ PI 4) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))) * [enter]simplify: Simplifying (* (/ PI 4) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (* f f) (* PI PI)) 1/48) (- (* (* (* f f) (* PI PI)) 1/48) (log (/ 4 PI)))) (* (log (/ 4 PI)) (log (/ 4 PI)))) (* (- (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f)) (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* 1 (- (* (+ (pow (log (/ 4 PI)) 3) (pow (* 1/48 (* (pow f 2) (pow PI 2))) 3)) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (- (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (* (log f) (log f)))))) (* (+ (* (* (* (* f f) (* PI PI)) 1/48) (- (* (* (* f f) (* PI PI)) 1/48) (log (/ 4 PI)))) (* (log (/ 4 PI)) (log (/ 4 PI)))) (* (- (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f)) (/ PI 4)))))) * * * * [misc]progress: [ 35 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (* (- (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2))))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (pow (* 7/23040 (* (pow f 4) (pow PI 4))) 3) (pow (log f) 3))))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (384 enodes) * [exit]simplify: Simplified to (- (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* (* (* f f) (* PI PI)) -1/2304) (* (* f f) (* PI PI)))) (+ (- (* (log f) (log f)) (* (* (pow PI 4) (log f)) (* 7/23040 (pow f 4)))) (* (* 49/530841600 (* (pow f 4) (pow PI 4))) (* (pow f 4) (pow PI 4))))) (* (+ (* (* 343/12230590464000 (* (pow f 4) (pow PI 4))) (* (* (pow f 4) (pow PI 4)) (* (pow f 4) (pow PI 4)))) (pow (log f) 3)) (+ (* (* PI PI) (* (* f f) -1/48)) (log (/ 4 PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (- (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* (* (* f f) (* PI PI)) -1/2304) (* (* f f) (* PI PI)))) (+ (- (* (log f) (log f)) (* (* (pow PI 4) (log f)) (* 7/23040 (pow f 4)))) (* (* 49/530841600 (* (pow f 4) (pow PI 4))) (* (pow f 4) (pow PI 4))))) (* (+ (* (* 343/12230590464000 (* (pow f 4) (pow PI 4))) (* (* (pow f 4) (pow PI 4)) (* (pow f 4) (pow PI 4)))) (pow (log f) 3)) (+ (* (* PI PI) (* (* f f) -1/48)) (log (/ 4 PI))))) (* (/ PI 4) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))))) * [enter]simplify: Simplifying (* (/ PI 4) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (258 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* (pow PI 4) (pow f 4)) (* (pow PI 4) (pow f 4))) 49/530841600) (- (* (log f) (log f)) (* (* 7/23040 (log f)) (* (pow PI 4) (pow f 4))))) (+ (* (log (/ 4 PI)) (/ PI 4)) (* (* (* f f) -1/48) (* (* PI PI) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* 1 (- (* (- (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2))))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (pow (* 7/23040 (* (pow f 4) (pow PI 4))) 3) (pow (log f) 3))))) (* (+ (* (* (* (pow PI 4) (pow f 4)) (* (pow PI 4) (pow f 4))) 49/530841600) (- (* (log f) (log f)) (* (* 7/23040 (log f)) (* (pow PI 4) (pow f 4))))) (+ (* (log (/ 4 PI)) (/ PI 4)) (* (* (* f f) -1/48) (* (* PI PI) (/ PI 4)))))))) * * * * [misc]progress: [ 36 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (* (- (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2))))) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (- (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (* (log f) (log f)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* f f) (* PI PI)) -1/48) (log (/ 4 PI))) (- (* (- (* (* 7/23040 (pow f 4)) (pow PI 4)) (log f)) (+ (* (* (* f f) (* PI PI)) 1/48) (log (/ 4 PI)))) (* (+ (log f) (* (* 7/23040 (pow f 4)) (pow PI 4))) (- (* (* 7/23040 (pow f 4)) (pow PI 4)) (log f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (* (+ (* (* (* f f) (* PI PI)) -1/48) (log (/ 4 PI))) (- (* (- (* (* 7/23040 (pow f 4)) (pow PI 4)) (log f)) (+ (* (* (* f f) (* PI PI)) 1/48) (log (/ 4 PI)))) (* (+ (log f) (* (* 7/23040 (pow f 4)) (pow PI 4))) (- (* (* 7/23040 (pow f 4)) (pow PI 4)) (log f))))) (* (/ PI 4) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))) * [enter]simplify: Simplifying (* (/ PI 4) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* f f) -1/48) (* (* PI PI) (/ PI 4))) (* (log (/ 4 PI)) (/ PI 4))) (- (* (pow PI 4) (* (pow f 4) 7/23040)) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (+ (* (* (* f f) (* PI PI)) -1/48) (log (/ 4 PI))) (- (* (- (* (* 7/23040 (pow f 4)) (pow PI 4)) (log f)) (+ (* (* (* f f) (* PI PI)) 1/48) (log (/ 4 PI)))) (* (+ (log f) (* (* 7/23040 (pow f 4)) (pow PI 4))) (- (* (* 7/23040 (pow f 4)) (pow PI 4)) (log f))))) (* (+ (* (* (* f f) -1/48) (* (* PI PI) (/ PI 4))) (* (log (/ 4 PI)) (/ PI 4))) (- (* (pow PI 4) (* (pow f 4) 7/23040)) (log f)))))) * * * * [misc]progress: [ 37 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (pow (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) 3) (pow (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) 3))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (- (pow (+ (log (/ 4 PI)) (* (* (* PI PI) 1/48) (* f f))) 3) (pow (+ (log f) (* (* (pow f 4) (pow PI 4)) 7/23040)) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (- (pow (+ (log (/ 4 PI)) (* (* (* PI PI) 1/48) (* f f))) 3) (pow (+ (log f) (* (* (pow f 4) (pow PI 4)) 7/23040)) 3)) (* (/ PI 4) (+ (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (+ (* (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))))) * [enter]simplify: Simplifying (* (/ PI 4) (+ (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (+ (* (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (+ (/ (* (+ (log (/ 4 PI)) (* (* (* PI PI) 1/48) (* f f))) (+ (log (/ 4 PI)) (* (* (* PI PI) 1/48) (* f f)))) (/ 4 PI)) (* (* (/ PI 4) (+ (log f) (* (pow PI 4) (* (pow f 4) 7/23040)))) (+ (+ (* (pow PI 4) (* (pow f 4) 7/23040)) (+ (log f) (log (/ 4 PI)))) (* (* (* PI PI) 1/48) (* f f))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (- (pow (+ (log (/ 4 PI)) (* (* (* PI PI) 1/48) (* f f))) 3) (pow (+ (log f) (* (* (pow f 4) (pow PI 4)) 7/23040)) 3)) (+ (/ (* (+ (log (/ 4 PI)) (* (* (* PI PI) 1/48) (* f f))) (+ (log (/ 4 PI)) (* (* (* PI PI) 1/48) (* f f)))) (/ 4 PI)) (* (* (/ PI 4) (+ (log f) (* (pow PI 4) (* (pow f 4) 7/23040)))) (+ (+ (* (pow PI 4) (* (pow f 4) 7/23040)) (+ (log f) (log (/ 4 PI)))) (* (* (* PI PI) 1/48) (* f f)))))))) * * * * [misc]progress: [ 38 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (* (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (- (* (+ (log (/ 4 PI)) (* (* (* f f) 1/48) (* PI PI))) (+ (log (/ 4 PI)) (* (* (* f f) 1/48) (* PI PI)))) (* (+ (log f) (* (* (pow f 4) 7/23040) (pow PI 4))) (+ (log f) (* (* (pow f 4) 7/23040) (pow PI 4))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (- (* (+ (log (/ 4 PI)) (* (* (* f f) 1/48) (* PI PI))) (+ (log (/ 4 PI)) (* (* (* f f) 1/48) (* PI PI)))) (* (+ (log f) (* (* (pow f 4) 7/23040) (pow PI 4))) (+ (log f) (* (* (pow f 4) 7/23040) (pow PI 4))))) (* (/ PI 4) (+ (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))) * [enter]simplify: Simplifying (* (/ PI 4) (+ (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (478 enodes) * [exit]simplify: Simplified to (+ (* (/ PI 4) (+ (log (/ 4 PI)) (log f))) (+ (* (* (* PI f) (* PI f)) (* (/ PI 4) 1/48)) (* (* (/ PI 4) (pow f 4)) (* 7/23040 (pow PI 4))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (- (* (+ (log (/ 4 PI)) (* (* (* f f) 1/48) (* PI PI))) (+ (log (/ 4 PI)) (* (* (* f f) 1/48) (* PI PI)))) (* (+ (log f) (* (* (pow f 4) 7/23040) (pow PI 4))) (+ (log f) (* (* (pow f 4) 7/23040) (pow PI 4))))) (+ (* (/ PI 4) (+ (log (/ 4 PI)) (log f))) (+ (* (* (* PI f) (* PI f)) (* (/ PI 4) 1/48)) (* (* (/ PI 4) (pow f 4)) (* 7/23040 (pow PI 4)))))))) * * * * [misc]progress: [ 39 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (- (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (- (* (/ -4 PI) (log f)) (* (* (pow f 4) (pow PI 4)) (/ 7/5760 PI))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (- (* (/ -4 PI) (log f)) (* (* (pow f 4) (pow PI 4)) (/ 7/5760 PI)))))) * * * * [misc]progress: [ 41 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (- (* 1/48 (* (pow f 2) (pow PI 2))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (- (- (* (* (* f PI) (* f PI)) (/ 1/12 PI)) (/ (log f) (/ PI 4))) (/ (* 7/23040 (pow PI 4)) (/ (/ PI 4) (pow f 4)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 4 PI))) (- (- (* (* (* f PI) (* f PI)) (/ 1/12 PI)) (/ (log f) (/ PI 4))) (/ (* 7/23040 (pow PI 4)) (/ (/ PI 4) (pow f 4))))))) * * * * [misc]progress: [ 42 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (- (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (- (* (/ -4 PI) (log f)) (* (* (pow f 4) (pow PI 4)) (/ 7/5760 PI))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (- (* (/ -4 PI) (log f)) (* (* (pow f 4) (pow PI 4)) (/ 7/5760 PI)))))) * * * * [misc]progress: [ 43 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (- (/ (* -7/23040 (pow f 4)) (/ (/ PI 4) (pow PI 4))) (/ (log f) (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (/ 1 (/ PI 4))) (- (/ (* -7/23040 (pow f 4)) (/ (/ PI 4) (pow PI 4))) (/ (log f) (/ PI 4)))))) * * * * [misc]progress: [ 44 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1/48 (* (pow f 2) (pow PI 2))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (- (- (* (* (* f PI) (* f PI)) (/ 1/12 PI)) (/ (log f) (/ PI 4))) (/ (* (pow PI 4) 7/23040) (/ (/ PI 4) (pow f 4)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 4 PI)) (/ 1 (/ PI 4))) (- (- (* (* (* f PI) (* f PI)) (/ 1/12 PI)) (/ (log f) (/ PI 4))) (/ (* (pow PI 4) 7/23040) (/ (/ PI 4) (pow f 4))))))) * * * * [misc]progress: [ 45 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (- (/ (* -7/23040 (pow f 4)) (/ (/ PI 4) (pow PI 4))) (/ (log f) (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (/ 1 (/ PI 4))) (- (/ (* -7/23040 (pow f 4)) (/ (/ PI 4) (pow PI 4))) (/ (log f) (/ PI 4)))))) * * * * [misc]progress: [ 46 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ (log (/ 4 PI)) (* (* (pow PI 4) -7/23040) (pow f 4))) (- (* 1/48 (* (* f PI) (* f PI))) (log f)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) (cbrt (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) (cbrt (+ (+ (log (/ 4 PI)) (* (* (pow PI 4) -7/23040) (pow f 4))) (- (* 1/48 (* (* f PI) (* f PI))) (log f))))))) * * * * [misc]progress: [ 47 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (log (/ 4 PI)) (* (* (pow PI 4) -7/23040) (pow f 4))) (- (* 1/48 (* (* f PI) (* f PI))) (log f)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (sqrt (+ (+ (log (/ 4 PI)) (* (* (pow PI 4) -7/23040) (pow f 4))) (- (* 1/48 (* (* f PI) (* f PI))) (log f))))))) * * * * [misc]progress: [ 48 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 49 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (sqrt (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (439 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (* 1/48 (* (* f PI) (* f PI))) (log (/ 4 PI)))) (sqrt (+ (* (pow PI 4) (* (pow f 4) 7/23040)) (log f)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (+ (sqrt (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (sqrt (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (- (sqrt (+ (* 1/48 (* (* f PI) (* f PI))) (log (/ 4 PI)))) (sqrt (+ (* (pow PI 4) (* (pow f 4) 7/23040)) (log f))))))) * * * * [misc]progress: [ 50 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 51 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 1 (/ PI 4))) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))) * * * * [misc]progress: [ 52 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))) * * * * [misc]progress: [ 53 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (/ 1 PI) (* 4 (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))))) * * * * [misc]progress: [ 56 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (+ (* (* 49/530841600 (* (pow PI 4) (pow f 4))) (* (pow PI 4) (pow f 4))) (- (* (log f) (log f)) (* (* (pow f 4) (log f)) (* 7/23040 (pow PI 4))))) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* (* (* f f) (* 1/48 PI)) PI) (- (* (* (* f f) (* 1/48 PI)) PI) (log (/ 4 PI)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (/ 1 (/ PI 4)) (- (* (+ (pow (log (/ 4 PI)) 3) (pow (* 1/48 (* (pow f 2) (pow PI 2))) 3)) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (+ (pow (* 7/23040 (* (pow f 4) (pow PI 4))) 3) (pow (log f) 3))))) (* (+ (* (* 49/530841600 (* (pow PI 4) (pow f 4))) (* (pow PI 4) (pow f 4))) (- (* (log f) (log f)) (* (* (pow f 4) (log f)) (* 7/23040 (pow PI 4))))) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* (* (* f f) (* 1/48 PI)) PI) (- (* (* (* f f) (* 1/48 PI)) PI) (log (/ 4 PI))))))))) * * * * [misc]progress: [ 57 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (* (- (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (- (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI))) (* (* (* PI PI) (* 1/48 f)) f)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (/ 1 (/ PI 4)) (- (* (+ (pow (log (/ 4 PI)) 3) (pow (* 1/48 (* (pow f 2) (pow PI 2))) 3)) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (* (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (- (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2)))) (* (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))))) (- (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (* (log f) (log f)))))) (* (- (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f)) (+ (* (log (/ 4 PI)) (log (/ 4 PI))) (* (- (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI))) (* (* (* PI PI) (* 1/48 f)) f))))))) * * * * [misc]progress: [ 58 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (+ (* (* -1/48 (* f f)) (* PI PI)) (log (/ 4 PI))) (+ (* (* 49/530841600 (* (pow PI 4) (pow f 4))) (* (pow PI 4) (pow f 4))) (- (* (log f) (log f)) (* (* (pow f 4) 7/23040) (* (pow PI 4) (log f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (/ 1 (/ PI 4)) (- (* (- (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2))))) (+ (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (- (* (log f) (log f)) (* (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (pow (* 7/23040 (* (pow f 4) (pow PI 4))) 3) (pow (log f) 3))))) (* (+ (* (* -1/48 (* f f)) (* PI PI)) (log (/ 4 PI))) (+ (* (* 49/530841600 (* (pow PI 4) (pow f 4))) (* (pow PI 4) (pow f 4))) (- (* (log f) (log f)) (* (* (pow f 4) 7/23040) (* (pow PI 4) (log f))))))))) * * * * [misc]progress: [ 59 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (* (+ (* (* (* f PI) (* f PI)) -1/48) (log (/ 4 PI))) (- (* (pow PI 4) (* (pow f 4) 7/23040)) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (/ 1 (/ PI 4)) (- (* (- (* (log (/ 4 PI)) (log (/ 4 PI))) (* (* 1/48 (* (pow f 2) (pow PI 2))) (* 1/48 (* (pow f 2) (pow PI 2))))) (- (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (* (- (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (- (* (* 7/23040 (* (pow f 4) (pow PI 4))) (* 7/23040 (* (pow f 4) (pow PI 4)))) (* (log f) (log f)))))) (* (+ (* (* (* f PI) (* f PI)) -1/48) (log (/ 4 PI))) (- (* (pow PI 4) (* (pow f 4) 7/23040)) (log f)))))) * * * * [misc]progress: [ 60 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (+ (* (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f)) (+ (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI)))) (+ (* (+ (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f)) (+ (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f))) (* (+ (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI))) (+ (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (/ 1 (/ PI 4)) (- (pow (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) 3) (pow (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) 3))) (+ (* (+ (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f)) (+ (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI)))) (+ (* (+ (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f)) (+ (* (* 7/23040 (pow PI 4)) (pow f 4)) (log f))) (* (+ (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI))) (+ (* (* (* PI PI) (* 1/48 f)) f) (log (/ 4 PI))))))))) * * * * [misc]progress: [ 61 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (- (- (log (/ 4 PI)) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (* (* (* f PI) (* f PI)) -1/48) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (/ 1 (/ PI 4)) (- (* (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2))))) (* (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))))) (- (- (log (/ 4 PI)) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (* (* (* f PI) (* f PI)) -1/48) (log f)))))) * * * * [misc]progress: [ 62 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (310 enodes) * [exit]simplify: Simplified to (- (- (* (* (* f PI) (* f PI)) 1/48) (log f)) (- (* (* (pow f 4) 7/23040) (pow PI 4)) (log (/ 4 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (- (- (* (* (* f PI) (* f PI)) 1/48) (log f)) (- (* (* (pow f 4) 7/23040) (pow PI 4)) (log (/ 4 PI)))) (/ PI 4)))) * * * * [misc]progress: [ 63 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* f PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* f PI) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (pow (* f PI) 2))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 65 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log f) 2) (* (log PI) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* 2 (+ (log f) (log PI))) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (exp (* 2 (+ (log f) (log PI)))))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 67 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (log f) 2) (log (pow PI 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log f) (log PI))) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (exp (* 2 (+ (log f) (log PI)))))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 68 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow f 2)) (* (log PI) 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (* 2 (+ (log PI) (log f))) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (exp (* 2 (+ (log PI) (log f)))))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 69 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (pow f 2)) (log (pow PI 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (log PI) (log f)) 2) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (exp (* (+ (log PI) (log f)) 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 70 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (pow f 2) (pow f 2)) (pow f 2)) (* (* (pow PI 2) (pow PI 2)) (pow PI 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (pow (* f f) 3) (pow (* PI PI) 3)) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (cbrt (* (pow (* f f) 3) (pow (* PI PI) 3))))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 73 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow PI 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI PI)) * [misc]simplify: Simplified (2 1 2 1 2 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (* (pow f 2) (* (cbrt (pow PI 2)) (cbrt (pow PI 2)))) (cbrt (* PI PI))))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 79 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow PI 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs PI) * [misc]simplify: Simplified (2 1 2 1 2 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (* (pow f 2) (sqrt (pow PI 2))) (fabs PI)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 80 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (pow PI 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (* PI PI) * [misc]simplify: Simplified (2 1 2 1 2 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (* (pow f 2) 1) (* PI PI)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 81 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow f 2)) (cbrt (pow f 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* f f)) (cbrt (* f f))) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (* (cbrt (* f f)) (cbrt (* f f))) (* (cbrt (pow f 2)) (pow PI 2))))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 83 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow f 2)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (fabs f) * [misc]simplify: Simplified (2 1 2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (fabs f) (* (sqrt (pow f 2)) (pow PI 2))))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 84 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 87 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 4 PI)) (* 1/48 (* (pow f 2) (pow PI 2)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (* 1/48 (* (* f PI) (* f PI))) (* (* (pow PI 4) (pow f 4)) -7/23040)) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 88 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) * * * * [misc]progress: [ 89 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI)))) (* 7/5760 (* (pow f 4) (pow PI 3)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (+ (+ (* (* -7/5760 PI) (* (* PI PI) (pow f 4))) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (+ (- (log f)) (log (/ 4 PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (+ (* (* -7/5760 PI) (* (* PI PI) (pow f 4))) (* (* f 1/12) (* f PI))) (* (/ 4 PI) (+ (- (log f)) (log (/ 4 PI))))))) * * * * [misc]progress: [ 90 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (/ -1 f)) PI)) (+ (* 1/12 (* (pow f 2) PI)) (* 4 (/ (log (/ 4 PI)) PI)))) (+ (* 7/5760 (* (pow f 4) (pow PI 3))) (* 4 (/ (log -1) PI)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (+ (- (- (* (* 1/12 PI) (* f f)) (/ (log -1) (/ PI 4))) (* (* PI PI) (* (* PI 7/5760) (pow f 4)))) (+ (* (/ 4 PI) (log (/ -1 f))) (* (/ 4 PI) (log (/ 4 PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (- (- (* (* 1/12 PI) (* f f)) (/ (log -1) (/ PI 4))) (* (* PI PI) (* (* PI 7/5760) (pow f 4)))) (+ (* (/ 4 PI) (log (/ -1 f))) (* (/ 4 PI) (log (/ 4 PI))))))) * * * * [misc]progress: [ 91 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow f 2) (pow PI 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI PI) (* f f)) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (* PI PI) (* f f)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 92 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow f 2) (pow PI 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI PI) (* f f)) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (* PI PI) (* f f)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * * [misc]progress: [ 93 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow f 2) (pow PI 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI PI) (* f f)) * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (+ (log (/ 4 PI)) (* 1/48 (* (* PI PI) (* f f)))) (+ (* 7/23040 (* (pow f 4) (pow PI 4))) (log f)))))) * * * [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 1 2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) 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 (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 (* 4 (/ 1 (* PI 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 (* 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]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 PI))) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) 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 (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 (* 4 (/ 1 (* PI 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 (* 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]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 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 (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 4 (/ 1 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 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 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 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 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 (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (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))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 4 (/ 1 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (* 4 (/ 1 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (* 4 (/ 1 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 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) 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 (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 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 (* 4 (/ 1 (* PI (/ 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 (* 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]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) 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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (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))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) 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 (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 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 (* 4 (/ 1 (* PI (/ 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 (* 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]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) 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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (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))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))) into (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) into (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 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 (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 2) into (/ -240 (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 (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 960 (/ 1 (pow PI 3)))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 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 (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 1/2880 (pow PI 3))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4 (/ 1 PI))) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 24) into (/ -40320 (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 (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (- (* 161280 (/ 1 (pow PI 5)))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 161280 (/ 1 (pow PI 5)))) (pow (/ 1 f) 4)) (+ (* (- (* 960 (/ 1 (pow PI 3)))) (pow (/ 1 f) 2)) (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log (/ 1 f)))) PI)))) into (- (* 4 (/ (log (- (* 1/2880 (pow PI 3)))) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (+ (* 960 (/ 1 (* (pow PI 3) (pow f 2)))) (* 12 (/ (log (/ 1 f)) PI))))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) 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 (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 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 (* 4 (/ 1 (* PI (/ 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 (* 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]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) 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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) 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 (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) 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 (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 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 (* 4 (/ 1 (* PI (/ 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 (* 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]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) 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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) 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 (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))) into (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) into (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (* -1 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2880 (pow PI 3)) 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 (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (+ (* -1/12 PI) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/12 PI)) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 2) into (/ -240 (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 (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 960 (/ 1 (pow PI 3)))) into (- (* 960 (/ 1 (pow PI 3)))) * [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 (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 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 (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ -1 PI)) into (/ -4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ -4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 PI))) 0) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2880 (pow PI 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4 (/ 1 PI)))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 24) into (/ -40320 (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 (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (- (* 161280 (/ 1 (pow PI 5)))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 161280 (/ 1 (pow PI 5)))) (pow (/ 1 (- f)) 4)) (+ (* (- (* 960 (/ 1 (pow PI 3)))) (pow (/ 1 (- f)) 2)) (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log (/ 1 (- f))))) PI)))) into (- (* 4 (/ (log (* 1/2880 (pow PI 3))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (* 960 (/ 1 (* (pow PI 3) (pow f 2))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* 1/12 (* f PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) f) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 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 (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 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]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (/ 1 (/ 1 f))) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 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 (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 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]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (* -1/12 PI) into (* -1/12 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/12 PI) (/ 1 (/ 1 (- f)))) into (* 1/12 (* f PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 1 f)) into (/ 1 (* f PI)) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [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 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 1 f)) into (/ 1 (* f PI)) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 PI) (/ 1 (- f))) into (/ 1 (* f PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (log (+ (+ (* PI (* 1/12 f)) (/ 4 (* f PI))) (* (* (* PI PI) (* f PI)) (* (* f f) -1/2880)))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (/ (log (+ (+ (* PI (* 1/12 f)) (/ 4 (* f PI))) (* (* (* PI PI) (* f PI)) (* (* f f) -1/2880)))) (/ PI 4)) 1))) * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (292 enodes) * [exit]simplify: Simplified to (- (log (log (+ (+ (/ 4 (* PI f)) (* PI (* 1/12 f))) (* (* (* PI f) (* PI PI)) (* (* f f) -1/2880))))) (log (/ PI 4))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (+ (+ (/ 4 (* PI f)) (* PI (* 1/12 f))) (* (* (* PI f) (* PI PI)) (* (* f f) -1/2880))))) (log (/ PI 4)))))) * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (log (+ (* (* (* PI f) (* f f)) (* (* PI PI) -1/2880)) (+ (/ (/ 4 PI) f) (* (* f 1/12) PI)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (+ (log (/ 4 PI)) (log (log (+ (* (* (* PI f) (* f f)) (* (* PI PI) -1/2880)) (+ (/ (/ 4 PI) f) (* (* f 1/12) PI))))))))) * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (pow (/ 4 PI) 3) (log (- (+ (/ (/ 4 PI) f) (* (* f PI) 1/12)) (* (* (* f f) 1/2880) (* (* PI PI) (* f PI)))))) (* (log (- (+ (/ (/ 4 PI) f) (* (* f PI) 1/12)) (* (* (* f f) 1/2880) (* (* PI PI) (* f PI))))) (log (- (+ (/ (/ 4 PI) f) (* (* f PI) 1/12)) (* (* (* f f) 1/2880) (* (* PI PI) (* f PI))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (pow (/ 4 PI) 3) (log (- (+ (/ (/ 4 PI) f) (* (* f PI) 1/12)) (* (* (* f f) 1/2880) (* (* PI PI) (* f PI)))))) (* (log (- (+ (/ (/ 4 PI) f) (* (* f PI) 1/12)) (* (* (* f f) 1/2880) (* (* PI PI) (* f PI))))) (log (- (+ (/ (/ 4 PI) f) (* (* f PI) 1/12)) (* (* (* f f) 1/2880) (* (* PI PI) (* f PI)))))))))) * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (- (+ (* f (* 1/12 PI)) (/ 4 (* f PI))) (* (* (* PI 1/2880) (* f f)) (* PI (* f PI))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (* (/ 4 PI) (log (cbrt (- (+ (* f (* 1/12 PI)) (/ 4 (* f PI))) (* (* (* PI 1/2880) (* f f)) (* PI (* f PI)))))))))) * * * * [misc]progress: [ 23 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (- (+ (* f (* 1/12 PI)) (/ 4 (* f PI))) (* (* (* PI 1/2880) (* f f)) (* PI (* f PI))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (* (/ 4 PI) (log (sqrt (- (+ (* f (* 1/12 PI)) (/ 4 (* f PI))) (* (* (* PI 1/2880) (* f f)) (* PI (* f PI)))))))))) * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (log (+ (+ (* PI (* 1/12 f)) (/ 4 (* f PI))) (* (* (* PI PI) (* f PI)) (* (* f f) -1/2880)))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (/ (log (+ (+ (* PI (* 1/12 f)) (/ 4 (* f PI))) (* (* (* PI PI) (* f PI)) (* (* f f) -1/2880)))) (/ PI 4))))) * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (+ (* (* (* PI f) (* f f)) (* (* PI PI) -1/2880)) (+ (* (* PI f) 1/12) (/ (/ 4 f) PI)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (cbrt (+ (* (* (* PI f) (* f f)) (* (* PI PI) -1/2880)) (+ (* (* PI f) 1/12) (/ (/ 4 f) PI))))))))) * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (+ (* (* (* PI f) (* f f)) (* (* PI PI) -1/2880)) (+ (* (* PI f) 1/12) (/ (/ 4 f) PI)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (sqrt (+ (* (* (* PI f) (* f f)) (* (* PI PI) -1/2880)) (+ (* (* PI f) 1/12) (/ (/ 4 f) PI))))))))) * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (/ (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* -1/2880 (* PI PI)) (* (* f f) (* PI f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (/ (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* -1/2880 (* PI PI)) (* (* f f) (* PI f))))) (/ PI 4))))) * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f)))))))) * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (cbrt (log (+ (* (* -1/2880 (* f f)) (* (* PI PI) (* PI f))) (+ (* (* PI f) 1/12) (/ 4 (* PI f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (cbrt (log (+ (* (* -1/2880 (* f f)) (* (* PI PI) (* PI f))) (+ (* (* PI f) 1/12) (/ 4 (* PI f))))))))) * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (sqrt (log (+ (* (* -1/2880 (* f f)) (* (* PI PI) (* PI f))) (+ (* (* PI f) 1/12) (/ 4 (* PI f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (log (+ (* (* -1/2880 (* f f)) (* (* PI PI) (* PI f))) (+ (* (* PI f) 1/12) (/ 4 (* PI f))))))))) * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f)))))))) * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (/ 1 PI) (* 4 (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (log (+ (* (* (* f -1/2880) f) (* (* f PI) (* PI PI))) (+ (* (* PI 1/12) f) (/ (/ 4 PI) f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (log (+ (* (* (* f -1/2880) f) (* (* f PI) (* PI PI))) (+ (* (* PI 1/12) f) (/ (/ 4 PI) f)))) (/ PI 4)))) * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2 1 1 2 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (pow (* PI f) -1))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 50 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* -1/2880 (* PI PI)) (* (* f f) (* PI f)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* -1/2880 (* PI PI)) (* (* f f) (* PI f)))))))) * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (- (* 1/2880 (pow PI 3)))) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (+ (* 960 (/ 1 (* (pow PI 3) (pow f 2)))) (* 12 (/ (log (/ 1 f)) PI))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (- (- (/ (log (* (* PI PI) (* -1/2880 PI))) (/ PI 4)) (/ (/ 960 PI) (* (* PI f) (* PI f)))) (- (/ (* -12 (log f)) PI) (/ -161280 (* (pow PI 5) (pow f 4))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (- (- (/ (log (* (* PI PI) (* -1/2880 PI))) (/ PI 4)) (/ (/ 960 PI) (* (* PI f) (* PI f)))) (- (/ (* -12 (log f)) PI) (/ -161280 (* (pow PI 5) (pow f 4))))))) * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (* 1/2880 (pow PI 3))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (* 960 (/ 1 (* (pow PI 3) (pow f 2))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (+ (- (/ (log (* (* PI 1/2880) (* PI PI))) (/ PI 4)) (/ (log (/ -1 f)) (/ PI 12))) (- (/ -161280 (* (pow PI 5) (pow f 4))) (/ (/ 960 PI) (* (* f PI) (* f PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (- (/ (log (* (* PI 1/2880) (* PI PI))) (/ PI 4)) (/ (log (/ -1 f)) (/ PI 12))) (- (/ -161280 (* (pow PI 5) (pow f 4))) (/ (/ 960 PI) (* (* f PI) (* f PI))))))) * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * [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 2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* 1/12 (* f PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) f) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 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 (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 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]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (/ 1 (/ 1 f))) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 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 (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 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]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (* -1/12 PI) into (* -1/12 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/12 PI) (/ 1 (/ 1 (- f)))) into (* 1/12 (* f PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 1 f)) into (/ 1 (* f PI)) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [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 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 1 f)) into (/ 1 (* f PI)) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 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]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 PI) (/ 1 (- f))) into (/ 1 (* f PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) 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]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 (* 4 (/ 1 (* PI 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 (* 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]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 PI))) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) 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]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f 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 (* 4 (/ 1 (* PI 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 (* 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]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 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 (* (* 2 (sqrt (/ 1 PI))) (- (log (/ 4 PI)) (log f))) into (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI))))) 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 (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 4 (/ 1 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 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 (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/24 (sqrt (pow PI 3))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (* 1/24 (sqrt (pow PI 3)))) (+ (* 0 0) (* 0 (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI))))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) 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 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (* 1/24 (sqrt (pow PI 3)))) (+ (* 0 0) (* 0 (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 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 (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (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))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 4 (/ 1 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (* 4 (/ 1 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (* 4 (/ 1 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/11520 (sqrt (pow PI 7)))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 7/11520 (sqrt (pow PI 7))))) (+ (* 0 0) (+ (* 0 (* 1/24 (sqrt (pow PI 3)))) (+ (* 0 0) (* 0 (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI))))))))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) 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]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 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 (* 4 (/ 1 (* PI (/ 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 (* 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]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) 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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (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))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) 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]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 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 (* 4 (/ 1 (* PI (/ 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 (* 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]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) 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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (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))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))) into (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI))))) into (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) into (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 2) into (/ -240 (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 (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))) into (- (* 480 (sqrt (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI))))))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 960 (/ 1 (pow PI 3)))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))))) 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 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 1/2880 (pow PI 3))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4 (/ 1 PI))) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 24) into (/ -40320 (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))))) into (- (* 80640 (sqrt (/ 1 (pow PI 9))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 80640 (sqrt (/ 1 (pow PI 9)))))) (+ (* 0 0) (+ (* 0 (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI))))))))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (- (* 161280 (/ 1 (pow PI 5)))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 161280 (/ 1 (pow PI 5)))) (pow (/ 1 f) 4)) (+ (* (- (* 960 (/ 1 (pow PI 3)))) (pow (/ 1 f) 2)) (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log (/ 1 f)))) PI)))) into (- (* 4 (/ (log (- (* 1/2880 (pow PI 3)))) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (+ (* 960 (/ 1 (* (pow PI 3) (pow f 2)))) (* 12 (/ (log (/ 1 f)) PI))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) 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]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 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 (* 4 (/ 1 (* PI (/ 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 (* 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]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) 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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) 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 (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) 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]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 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 (* 4 (/ 1 (* PI (/ 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 (* 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]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) 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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) 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 (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))) into (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI))))) into (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) into (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (* -1 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (+ (* -1/12 PI) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/12 PI)) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 2) into (/ -240 (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 (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))) into (- (* 480 (sqrt (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI))))))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 960 (/ 1 (pow PI 3)))) into (- (* 960 (/ 1 (pow PI 3)))) * [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 (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 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 (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))))) 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 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ -1 PI)) into (/ -4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ -4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 PI))) 0) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2880 (pow PI 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4 (/ 1 PI)))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 24) into (/ -40320 (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))))) into (- (* 80640 (sqrt (/ 1 (pow PI 9))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 80640 (sqrt (/ 1 (pow PI 9)))))) (+ (* 0 0) (+ (* 0 (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI))))))))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (- (* 161280 (/ 1 (pow PI 5)))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 161280 (/ 1 (pow PI 5)))) (pow (/ 1 (- f)) 4)) (+ (* (- (* 960 (/ 1 (pow PI 3)))) (pow (/ 1 (- f)) 2)) (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log (/ 1 (- f))))) PI)))) into (- (* 4 (/ (log (* 1/2880 (pow PI 3))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (* 960 (/ 1 (* (pow PI 3) (pow f 2))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2 2 1 1 2 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (pow (* PI f) -1))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 f) PI)) (* (* (* f 1/2880) PI) (* (* f f) (* PI PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 f) PI)) (* (* (* f 1/2880) PI) (* (* f f) (* PI PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) 1))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 f) PI)) (* (* (* f 1/2880) PI) (* (* f f) (* PI PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 f) PI)) (* (* (* f 1/2880) PI) (* (* f f) (* PI PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) 1))) * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 4 PI))) (+ (log (sqrt (/ 1 (/ PI 4)))) (log (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))) (log (log (- (+ (* (* 1/12 PI) f) (/ (/ 4 f) PI)) (* (* (* PI 1/2880) PI) (* (* f PI) (* f f))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (+ (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))) (log (log (- (+ (* (* 1/12 PI) f) (/ (/ 4 f) PI)) (* (* (* PI 1/2880) PI) (* (* f PI) (* f f)))))))))) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 4 PI))) (log (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))) (log (log (+ (* (* (* PI PI) (* f PI)) (* (* f f) -1/2880)) (+ (/ (/ 4 f) PI) (* (* f PI) 1/12)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (+ (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))) (log (log (+ (* (* (* PI PI) (* f PI)) (* (* f f) -1/2880)) (+ (/ (/ 4 f) PI) (* (* f PI) 1/12))))))))) * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) (* (* (* (sqrt (/ 1 (/ PI 4))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 1 (/ PI 4)))) (* (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (* (log (- (+ (/ (/ 4 PI) f) (* 1/12 (* PI f))) (* (* (* f 1/2880) f) (* (* PI f) (* PI PI))))) (log (- (+ (/ (/ 4 PI) f) (* 1/12 (* PI f))) (* (* (* f 1/2880) f) (* (* PI f) (* PI PI)))))) (* (* (* (sqrt (/ 4 PI)) (* (/ 4 PI) (/ 4 PI))) (sqrt (/ 4 PI))) (log (- (+ (/ (/ 4 PI) f) (* 1/12 (* PI f))) (* (* (* f 1/2880) f) (* (* PI f) (* PI PI))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (log (- (+ (/ (/ 4 PI) f) (* 1/12 (* PI f))) (* (* (* f 1/2880) f) (* (* PI f) (* PI PI))))) (log (- (+ (/ (/ 4 PI) f) (* 1/12 (* PI f))) (* (* (* f 1/2880) f) (* (* PI f) (* PI PI)))))) (* (* (* (sqrt (/ 4 PI)) (* (/ 4 PI) (/ 4 PI))) (sqrt (/ 4 PI))) (log (- (+ (/ (/ 4 PI) f) (* 1/12 (* PI f))) (* (* (* f 1/2880) f) (* (* PI f) (* PI PI)))))))))) * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) (* (* (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 PI) f)) (* (* 1/2880 (* PI PI)) (* (* f PI) (* f f))))) (/ 4 PI)) (* (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 PI) f)) (* (* 1/2880 (* PI PI)) (* (* f PI) (* f f))))) (/ 4 PI)) (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 PI) f)) (* (* 1/2880 (* PI PI)) (* (* f PI) (* f f))))) (/ 4 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 PI) f)) (* (* 1/2880 (* PI PI)) (* (* f PI) (* f f))))) (/ 4 PI)) (* (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 PI) f)) (* (* 1/2880 (* PI PI)) (* (* f PI) (* f f))))) (/ 4 PI)) (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 PI) f)) (* (* 1/2880 (* PI PI)) (* (* f PI) (* f f))))) (/ 4 PI))))))) * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt 1) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (log (+ (+ (* (* f PI) 1/12) (/ 4 (* f PI))) (* (* (* f f) (* f PI)) (* (* PI PI) -1/2880)))) 2) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (* (log (+ (+ (* (* f PI) 1/12) (/ 4 (* f PI))) (* (* (* f f) (* f PI)) (* (* PI PI) -1/2880)))) 2) (* (sqrt PI) (sqrt (/ PI 4)))))) * [enter]simplify: Simplifying (* (sqrt PI) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (log (+ (+ (* (* f PI) 1/12) (/ 4 (* f PI))) (* (* (* f f) (* f PI)) (* (* PI PI) -1/2880)))) 2) (* (sqrt PI) (sqrt (/ PI 4)))))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (cbrt (+ (* (* (* PI f) (* PI PI)) (* (* f f) -1/2880)) (+ (* (* f 1/12) PI) (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (cbrt (+ (* (* (* PI f) (* PI PI)) (* (* f f) -1/2880)) (+ (* (* f 1/12) PI) (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (sqrt (+ (* (* (* PI f) (* PI PI)) (* (* f f) -1/2880)) (+ (* (* f 1/12) PI) (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (sqrt (+ (* (* (* PI f) (* PI PI)) (* (* f f) -1/2880)) (+ (* (* f 1/12) PI) (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 f) PI)) (* (* (* f 1/2880) PI) (* (* f f) (* PI PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log 1))) (* (log (- (+ (* f (* 1/12 PI)) (/ (/ 4 f) PI)) (* (* (* f 1/2880) PI) (* (* f f) (* PI PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (* (log (cbrt (+ (* (* -1/2880 (* PI PI)) (* (* f f) (* f PI))) (+ (/ (/ 4 f) PI) (* (* 1/12 f) PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 1 (/ PI 4))))) (* (log (cbrt (+ (* (* -1/2880 (* PI PI)) (* (* f f) (* f PI))) (+ (/ (/ 4 f) PI) (* (* 1/12 f) PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (* (log (sqrt (+ (* (* -1/2880 (* PI PI)) (* (* f f) (* f PI))) (+ (/ (/ 4 f) PI) (* (* 1/12 f) PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4))))) (* (log (sqrt (+ (* (* -1/2880 (* PI PI)) (* (* f f) (* f PI))) (+ (/ (/ 4 f) PI) (* (* 1/12 f) PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (sqrt (/ 1 (/ PI 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (- (+ (/ (/ 4 f) PI) (* PI (* 1/12 f))) (* (* (* PI 1/2880) f) (* (* PI PI) (* f f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (log 1) (sqrt (/ 1 (/ PI 4))))) (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (- (+ (/ (/ 4 f) PI) (* PI (* 1/12 f))) (* (* (* PI 1/2880) f) (* (* PI PI) (* f f))))))))) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (/ PI 4))) (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (+ (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f))) (+ (/ (/ 4 PI) f) (* (* f 1/12) PI)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (cbrt (+ (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f))) (+ (/ (/ 4 PI) f) (* (* f 1/12) PI))))))))) * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (+ (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f))) (+ (/ (/ 4 PI) f) (* (* f 1/12) PI)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (+ (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f))) (+ (/ (/ 4 PI) f) (* (* f 1/12) PI))))))))) * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (* (log (+ (* (* -1/2880 (* f f)) (* (* PI f) (* PI PI))) (+ (/ (/ 4 PI) f) (* PI (* f 1/12))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log 1)) (sqrt (/ 4 PI))) (* (log (+ (* (* -1/2880 (* f f)) (* (* PI f) (* PI PI))) (+ (/ (/ 4 PI) f) (* PI (* f 1/12))))) (/ 4 PI))))) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (cbrt (+ (* (* -1/2880 (* PI PI)) (* (* PI f) (* f f))) (+ (* (* PI f) 1/12) (/ 4 (* PI f))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (cbrt (+ (* (* -1/2880 (* PI PI)) (* (* PI f) (* f f))) (+ (* (* PI f) 1/12) (/ 4 (* PI f)))))))))) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (sqrt (+ (* (* -1/2880 (* PI PI)) (* (* PI f) (* f f))) (+ (* (* PI f) 1/12) (/ 4 (* PI f))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (sqrt (+ (* (* -1/2880 (* PI PI)) (* (* PI f) (* f f))) (+ (* (* PI f) 1/12) (/ 4 (* PI f)))))))))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* (* f f) (* PI f)) (* (* PI PI) -1/2880))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (log 1) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* (* f f) (* PI f)) (* (* PI PI) -1/2880)))))))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (sqrt (/ 4 PI)) (sqrt (/ 1 (/ PI 4)))) (log (+ (+ (* (* PI f) 1/12) (/ 4 (* PI f))) (* (* (* PI f) (* PI PI)) (* -1/2880 (* f f)))))))) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (* (cbrt (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) (* (cbrt (sqrt (/ 4 PI))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (fabs (cbrt (/ 4 PI))) (* (sqrt (cbrt (/ 4 PI))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* 1 (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* 2 (* (sqrt (/ 1 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (sqrt (/ 4 PI)) (* (sqrt 1) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (* (log (+ (+ (/ 4 (* f PI)) (* (* f PI) 1/12)) (* (* (* f PI) (* PI PI)) (* (* f -1/2880) f)))) (* (sqrt (/ 4 PI)) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (* (log (+ (+ (/ 4 (* f PI)) (* (* f PI) 1/12)) (* (* (* f PI) (* PI PI)) (* (* f -1/2880) f)))) (* (sqrt (/ 4 PI)) 2)) (sqrt PI)))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (log (- (+ (* (* 1/12 PI) f) (/ (/ 4 PI) f)) (* (* (* f 1/2880) (* PI PI)) (* PI (* f f))))) (* (- (sqrt (/ 4 PI))) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2) to (λ (f) (* (log (- (+ (* (* 1/12 PI) f) (/ (/ 4 PI) f)) (* (* (* f 1/2880) (* PI PI)) (* PI (* f f))))) (* (- (sqrt (/ 4 PI))) (sqrt (/ 4 PI))))) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 2 1 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 2 1 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 2 1 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (- (+ (* (* 1/12 PI) (* f f)) (* (pow f 4) (* (* PI PI) (* -7/5760 PI)))) (* (/ 4 PI) (- (log f) (log (/ 4 PI))))))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (- (* 1/2880 (pow PI 3)))) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (+ (* 960 (/ 1 (* (pow PI 3) (pow f 2)))) (* 12 (/ (log (/ 1 f)) PI))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (- (- (/ (log (* (* PI PI) (* -1/2880 PI))) (/ PI 4)) (/ (/ 960 PI) (* (* PI f) (* PI f)))) (- (/ (* -12 (log f)) PI) (/ -161280 (* (pow PI 5) (pow f 4))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (- (- (/ (log (* (* PI PI) (* -1/2880 PI))) (/ PI 4)) (/ (/ 960 PI) (* (* PI f) (* PI f)))) (- (/ (* -12 (log f)) PI) (/ -161280 (* (pow PI 5) (pow f 4))))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (* 1/2880 (pow PI 3))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (* 960 (/ 1 (* (pow PI 3) (pow f 2))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (+ (- (/ (log (* (* PI 1/2880) (* PI PI))) (/ PI 4)) (/ (log (/ -1 f)) (/ PI 12))) (- (/ -161280 (* (pow PI 5) (pow f 4))) (/ (/ 960 PI) (* (* f PI) (* f PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (- (/ (log (* (* PI 1/2880) (* PI PI))) (/ PI 4)) (/ (log (/ -1 f)) (/ PI 12))) (- (/ -161280 (* (pow PI 5) (pow f 4))) (/ (/ 960 PI) (* (* f PI) (* f PI))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) * * * [misc]regime-changes: Trying 4 branch expressions: (f (* (/ PI 4) f) (/ (+ (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]regimes: Trying to branch on f from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* (/ PI 4) f) from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* (/ PI 4) f) from (# #) * * * * [misc]regimes: Trying to branch on (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) from (# # # # # # # # #) * * * [misc]regime: Found split indices: #