* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [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 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 195 additional inputs, on iter 1 have 61 / 256 * * * * [misc]points: Computing exacts on every 12 of 195 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 6 of 195 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 195 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 195 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 149 additional inputs, on iter 2 have 107 / 256 * * * * [misc]points: Computing exacts on every 9 of 149 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 149 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 149 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 149 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 115 additional inputs, on iter 3 have 141 / 256 * * * * [misc]points: Computing exacts on every 7 of 115 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 115 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 115 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 87 additional inputs, on iter 4 have 169 / 256 * * * * [misc]points: Computing exacts on every 5 of 87 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 87 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 87 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 65 additional inputs, on iter 5 have 191 / 256 * * * * [misc]points: Computing exacts on every 4 of 65 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 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 65 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 45 additional inputs, on iter 6 have 211 / 256 * * * * [misc]points: Computing exacts on every 2 of 45 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 45 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 30 additional inputs, on iter 7 have 226 / 256 * * * * [misc]points: Computing exacts for 30 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 24 additional inputs, on iter 8 have 232 / 256 * * * * [misc]points: Computing exacts for 24 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 19 additional inputs, on iter 9 have 237 / 256 * * * * [misc]points: Computing exacts for 19 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 13 additional inputs, on iter 11 have 243 / 256 * * * * [misc]points: Computing exacts for 13 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 10 additional inputs, on iter 12 have 246 / 256 * * * * [misc]points: Computing exacts for 10 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 10 additional inputs, on iter 13 have 246 / 256 * * * * [misc]points: Computing exacts for 10 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 14 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 8 additional inputs, on iter 15 have 248 / 256 * * * * [misc]points: Computing exacts for 8 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 6 additional inputs, on iter 16 have 250 / 256 * * * * [misc]points: Computing exacts for 6 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 5 additional inputs, on iter 17 have 251 / 256 * * * * [misc]points: Computing exacts for 5 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 5 additional inputs, on iter 18 have 251 / 256 * * * * [misc]points: Computing exacts for 5 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 19 have 253 / 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 (87 enodes) * * [misc]simplify: iters left: 3 (186 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 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/61440 (pow PI 5)) (pow f 5)) (+ (* (* 1/192 (pow PI 3)) (pow f 3)) (* (* 1/2 PI) f))) into (+ (* 1/2 (* 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 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: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (- (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (- (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (- (* -1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* 1/4 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/32 (pow PI 2))) into (- (* 1/32 (pow PI 2))) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (- (* 1/32 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/384 (pow PI 3))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/6144 (pow PI 4))) into (- (* 1/6144 (pow PI 4))) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (- (* 1/6144 (pow PI 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 5) 120)) (* (/ (pow (* 1/4 PI) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/4 PI)) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 5) 120)) (* (/ (pow (- (* 1/4 PI)) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (- (* -1/122880 (pow PI 5))) into (* 1/122880 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* 1/122880 (pow PI 5)) (* 1/122880 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (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: simplifying candidates * * * * [misc]progress: [ 1 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (cbrt (exp (* (/ PI 4) f))) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (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)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) 0)))))) * * * * [misc]progress: [ 2 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (cbrt (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 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * [exit]simplify: Simplified to (- (exp (* (/ PI 4) f)) (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)))) (+ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (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 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) 0)))))) * * * * [misc]progress: [ 3 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (* (/ PI 4) f))) (cbrt (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 (62 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (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)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)))))))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) 0)))))) * * * * [misc]progress: [ 4 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (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 (78 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (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)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) 0)))))) * * * * [misc]progress: [ 5 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (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 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (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)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (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 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) 0)))))) * * * * [misc]progress: [ 6 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (* (exp (- (* (/ PI 4) f))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (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)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)))))))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) 0)))))) * * * * [misc]progress: [ 7 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (/ PI 4) f)) (- (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (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)))) (+ (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))) (* (cbrt (exp (- (* (/ PI 4) f)))) (* (cbrt (exp (- (* (/ PI 4) f)))) (cbrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * [exit]simplify: Simplified to 0 * [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) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) 0)))))) * * * * [misc]progress: [ 8 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (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 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (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)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (sqrt (exp (- (* (/ PI 4) f)))) (sqrt (exp (- (* (/ PI 4) f)))))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (exp (- (* (/ PI 4) f))))) (sqrt (exp (- (* (/ PI 4) f)))) (* (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 (51 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (+ (pow (exp f) (/ PI 4)) (/ (- 1) (pow (exp f) (/ PI 4)))) 0)))))) * * * * [misc]progress: [ 9 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (* (/ PI 4) f)) (- (* (exp (- (* (/ PI 4) f))) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (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)))) (+ (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)))))))) * [enter]simplify: Simplifying (fma (- (exp (- (* (/ PI 4) f)))) 1 (* (exp (- (* (/ PI 4) f))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to 0 * [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) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))) 0)))))) * * * * [misc]progress: [ 10 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (/ (* f PI) 4))) (cbrt (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)))) (fma (* (cbrt (exp (/ (* f PI) 4))) (cbrt (exp (/ (* f PI) 4)))) (cbrt (exp (* (/ PI 4) f))) (- (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 13 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (* (/ PI 4) f))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (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)))) (fma (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (* (/ PI 4) f))) (- (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 14 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (* (/ PI 4) f))) (exp (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (exp (- (exp (* (/ PI 4) f)) (exp (* (- 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: [ 16 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 202 ] 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: [ 27 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (exp (* (/ 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: [ 28 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (* (- 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: [ 33 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (pow (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ 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: [ 36 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- 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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [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: [ 41 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [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: [ 42 / 202 ] 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 (61 enodes) * * [misc]simplify: iters left: 2 (67 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 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: [ 43 / 202 ] 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: [ 44 / 202 ] 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 (61 enodes) * * [misc]simplify: iters left: 2 (67 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 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: [ 45 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) * [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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [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: [ 46 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [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 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [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: [ 47 / 202 ] 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 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: [ 48 / 202 ] 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: [ 49 / 202 ] 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 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: [ 50 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) * [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 (46 enodes) * * [misc]simplify: iters left: 3 (53 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: [ 51 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 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: [ 52 / 202 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [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: [ 53 / 202 ] 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: [ 54 / 202 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [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: [ 55 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))) * [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 (46 enodes) * * [misc]simplify: iters left: 3 (53 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: [ 56 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (/ 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 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: [ 57 / 202 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [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: [ 58 / 202 ] 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: [ 59 / 202 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [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: [ 60 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 202 ] 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 (43 enodes) * * [misc]simplify: iters left: 3 (50 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: [ 64 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- PI) (/ 4 f))))) * [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: [ 65 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (exp (* (/ 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: [ 66 / 202 ] 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: [ 67 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (- (exp (* (/ 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: [ 68 / 202 ] 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: [ 69 / 202 ] 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: [ 70 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 202 ] 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 (39 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (fma (pow (exp f) (/ PI 4)) (pow (exp 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))) (fma (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) (- f))) (fma (pow (exp f) (/ PI 4)) (pow (exp f) (/ PI 4)) 1))))))) * * * * [misc]progress: [ 73 / 202 ] 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: [ 74 / 202 ] 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 (65 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (301 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: [ 75 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (- (exp (* (+ f f) (/ PI 4))) (pow (exp (/ PI 4)) (- (- f) f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (- (exp (* (+ f f) (/ PI 4))) (pow (exp (/ PI 4)) (- (- f) f))) (* (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 76 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ 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: [ 79 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [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: [ 80 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ 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: [ 81 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (+ (exp (/ (* 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: [ 82 / 202 ] 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 (76 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (130 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: [ 83 / 202 ] 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: [ 84 / 202 ] 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 (76 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (130 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: [ 85 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ (* 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: [ 86 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * [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: [ 87 / 202 ] 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 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (234 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: [ 88 / 202 ] 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: [ 89 / 202 ] 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 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (234 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: [ 90 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (180 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: [ 91 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (* (/ PI 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: [ 92 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 93 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (123 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: [ 94 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 95 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (180 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: [ 96 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- (exp (* (/ PI 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: [ 97 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 98 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (123 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: [ 99 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 100 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 101 / 202 ] 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: [ 102 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (379 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: [ 103 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f))) (* (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (434 enodes) * [exit]simplify: Simplified to (- (log (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (+ (/ (- 1) (pow (exp f) (/ PI 4))) (pow (exp f) (/ PI 4))))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 104 / 202 ] 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: [ 105 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 202 ] 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: [ 108 / 202 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) * [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: [ 109 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 118 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (/ (- 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: [ 120 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ 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: [ 121 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (371 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: [ 124 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 127 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (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 (* (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 (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4))))) * * * * [misc]progress: [ 129 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (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 (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ (log (sqrt (/ (+ (exp (* (/ f 4) (- PI))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))))) (/ PI 4))))) * * * * [misc]progress: [ 130 / 202 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (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)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 131 / 202 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (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)) (exp (- (* (/ PI 4) f)))))))) (* (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 132 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))))) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (* (- 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))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (fma (/ 4 PI) (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))))) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 133 / 202 ] 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 (275 enodes) * * [misc]simplify: iters left: 1 (467 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: [ 134 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))))) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (* (- 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))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (fma (/ 4 PI) (log (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))))) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 135 / 202 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (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))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (cbrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 136 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (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)) (exp (- (* (/ PI 4) f)))))))) (* (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))) (sqrt (- (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI))))))) (/ 4 PI))))) * * * * [misc]progress: [ 137 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))))) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (* (- 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))))) 1))) (fma (/ 4 PI) (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))))) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 138 / 202 ] 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 (275 enodes) * * [misc]simplify: iters left: 1 (467 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: [ 139 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))))) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (* (- 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))))) 1))) (fma (/ 4 PI) (log (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f)))))) (* (- (/ 4 PI)) (log (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))))))) * * * * [misc]progress: [ 140 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (/ PI 4))) * [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))))))))) (fma (- (/ 4 PI)) (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (/ PI 4)))))) * * * * [misc]progress: [ 141 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (fma (- (/ 4 PI)) (log (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (/ PI 4)))))) * * * * [misc]progress: [ 142 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 143 / 202 ] 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 (259 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (fma (log (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))))))) * * * * [misc]progress: [ 144 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 145 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (/ PI 4))) * [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))))))))) (fma (- (/ 4 PI)) (log (cbrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (/ PI 4)))))) * * * * [misc]progress: [ 146 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (fma (- (/ 4 PI)) (log (sqrt (- (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4)))))) (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (/ PI (/ 4 f))))) (/ PI 4)))))) * * * * [misc]progress: [ 147 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 148 / 202 ] 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 (259 enodes) * * [misc]simplify: iters left: 1 (450 enodes) * [exit]simplify: Simplified to (fma (log (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (fma (log (- (sqrt (exp (/ (* f PI) 4))) (sqrt (exp (/ (- f) (/ 4 PI)))))) (- (/ 4 PI)) (* (/ 4 PI) (log (+ (exp (/ (- f) (/ 4 PI))) (exp (/ (* f PI) 4))))))))) * * * * [misc]progress: [ 149 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 150 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) (- PI))) (exp (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (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 (* f (/ PI 4)))) (- (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 151 / 202 ] 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 (163 enodes) * * [misc]simplify: iters left: 2 (397 enodes) * [exit]simplify: Simplified to (* (log (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (- (/ 4 PI))) * [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))))) (- (/ 4 PI)))))) * * * * [misc]progress: [ 152 / 202 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (/ (log1p (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) (+ f f))))) (/ 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))))) (/ (log1p (fma (exp (* (- f) (/ PI 4))) (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) (+ f f))))) (/ PI 4))))) * * * * [misc]progress: [ 153 / 202 ] 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 (135 enodes) * * [misc]simplify: iters left: 1 (175 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: [ 154 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (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)))) (- (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 (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 155 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (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)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (- (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 156 / 202 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* (/ f 4) PI)) (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 4) PI)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 157 / 202 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (* (/ f 4) PI)) (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 4) PI)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 158 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ (- 4) PI) (log (- (exp (/ f (/ 4 PI))) (exp (/ (- 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))) (fma (/ 4 PI) (log (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ (- 4) PI) (log (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))))) * * * * [misc]progress: [ 159 / 202 ] 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 (271 enodes) * * [misc]simplify: iters left: 1 (467 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: [ 160 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ (- 4) PI) (log (- (exp (/ f (/ 4 PI))) (exp (/ (- 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))) (fma (/ 4 PI) (log (cbrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ (- 4) PI) (log (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))))) * * * * [misc]progress: [ 161 / 202 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* (/ f 4) PI)) (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 4) PI)) (exp (* (- f) (/ PI 4))))) (cbrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 162 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (462 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (* (/ f 4) PI)) (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 4) PI)) (exp (* (- f) (/ PI 4))))) (sqrt (- (exp (* (/ f 4) PI)) (exp (* (- f) (/ PI 4))))))) (/ PI 4))))) * * * * [misc]progress: [ 163 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ (- 4) PI) (log (- (exp (/ f (/ 4 PI))) (exp (/ (- 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))) (fma (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ (- 4) PI) (log (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))))) * * * * [misc]progress: [ 164 / 202 ] 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 (271 enodes) * * [misc]simplify: iters left: 1 (467 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: [ 165 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (fma (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ (- 4) PI) (log (- (exp (/ f (/ 4 PI))) (exp (/ (- 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))) (fma (/ 4 PI) (log (sqrt (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ (- 4) PI) (log (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))))) * * * * [misc]progress: [ 166 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- 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))) (fma (/ (- 4) PI) (log (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))))) * * * * [misc]progress: [ 167 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- 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))) (fma (/ (- 4) PI) (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))))) * * * * [misc]progress: [ 168 / 202 ] 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 (69 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (472 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: [ 169 / 202 ] 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 (274 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (fma (log (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI) (/ (log (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (fma (log (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI) (/ (log (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)))))) * * * * [misc]progress: [ 170 / 202 ] 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 (69 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (472 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: [ 171 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- 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))) (fma (/ (- 4) PI) (log (cbrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))))) * * * * [misc]progress: [ 172 / 202 ] 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (fma (/ (- 4) PI) (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- 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))) (fma (/ (- 4) PI) (log (sqrt (- (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))) (* (/ 4 PI) (log (+ (exp (/ f (/ 4 PI))) (exp (/ (- f) (/ 4 PI)))))))))) * * * * [misc]progress: [ 173 / 202 ] 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 (69 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (472 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: [ 174 / 202 ] 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 (274 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (fma (log (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI) (/ (log (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (fma (log (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- PI) (/ 4 f)))))) (/ (- 4) PI) (/ (log (+ (exp (* f (/ PI 4))) (exp (/ (- PI) (/ 4 f))))) (/ PI 4)))))) * * * * [misc]progress: [ 175 / 202 ] 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 (69 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (472 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: [ 176 / 202 ] 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 (69 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (472 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: [ 177 / 202 ] 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 (171 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (* (/ (- 4) PI) (log (- (exp (/ (* PI f) 4)) (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 (/ (* PI f) 4)) (exp (* (- f) (/ PI 4))))))))) * * * * [misc]progress: [ 178 / 202 ] 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 (49 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log1p (fma (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) (+ f f)))))) * [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) (log1p (fma (exp (/ (- f) (/ 4 PI))) (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) (+ f f))))))))) * * * * [misc]progress: [ 179 / 202 ] 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 (151 enodes) * * [misc]simplify: iters left: 1 (217 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: [ 180 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [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: [ 181 / 202 ] 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 (52 enodes) * * [misc]simplify: iters left: 3 (60 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: [ 182 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ 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: [ 183 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))) (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [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: [ 184 / 202 ] 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) * [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: [ 185 / 202 ] 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) * [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: [ 186 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 187 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 188 / 202 ] 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: [ 189 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (- 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: [ 190 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 191 / 202 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (fma (* 1/61440 (pow f 5)) (pow PI 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* (* 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)))) (fma (* 1/61440 (pow f 5)) (pow PI 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* (* PI f) 1/2)))))))) * * * * [misc]progress: [ 192 / 202 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * [exit]simplify: Simplified to (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (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)) (/ (- 1) (pow (exp 1/4) (* f PI))))))))) * * * * [misc]progress: [ 193 / 202 ] 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: [ 194 / 202 ] 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 (44 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (fma 1/12 (* PI f) (fma (* (* f f) (* PI f)) (* (* PI PI) (- 1/2880)) (/ (/ 4 PI) f))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (fma 1/12 (* PI f) (fma (* (* f f) (* PI f)) (* (* PI PI) (- 1/2880)) (/ (/ 4 PI) f))))))) * * * * [misc]progress: [ 195 / 202 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (- 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (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)) (exp (* (- 1/4) (* f PI)))) (+ (pow (exp 1/4) (* f PI)) (/ (- 1) (pow (exp 1/4) (* f PI))))))))) * * * * [misc]progress: [ 196 / 202 ] 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: [ 197 / 202 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (- (fma 1/48 (* (* f PI) (* f PI)) (log (/ 4 PI))) (fma (* (pow f 4) 7/23040) (pow PI 4) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (fma 1/48 (* (* f PI) (* f PI)) (log (/ 4 PI))) (fma (* (pow f 4) 7/23040) (pow PI 4) (log f)))))) * * * * [misc]progress: [ 198 / 202 ] 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 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * [exit]simplify: Simplified to (log (/ (+ (pow (exp 1/4) (* f PI)) (exp (* (* f PI) (- 1/4)))) (+ (/ (- 1) (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)) (exp (* (* f PI) (- 1/4)))) (+ (/ (- 1) (pow (exp 1/4) (* f PI))) (pow (exp 1/4) (* f PI)))))))) * * * * [misc]progress: [ 199 / 202 ] 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: [ 200 / 202 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI f) (* f 1/12)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (- (* (* PI f) (* f 1/12)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 201 / 202 ] 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 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (* (* PI 1/4) (- f))) (pow (exp 1/4) (* PI f))) (+ (/ (- 1) (pow (exp 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (* (/ 4 PI) (log (/ (+ (exp (* (* PI 1/4) (- f))) (pow (exp 1/4) (* PI f))) (+ (/ (- 1) (pow (exp 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))))))) * * * * [misc]progress: [ 202 / 202 ] 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 (97 enodes) * * [misc]simplify: iters left: 1 (126 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: 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2 2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 2 2 2 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) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 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 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/192 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 5)) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (* -7/23040 (pow PI 4)) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* -7/23040 (pow PI 4)) (pow f 4)) (+ (* (* 1/48 (pow PI 2)) (pow f 2)) (- (log (/ 4 PI)) (log f)))) into (- (+ (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))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) 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 (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) 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 (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (* (pow f -3) (pow PI 3)) into (/ (pow PI 3) (pow f 3)) * [misc]backup-simplify: Simplify (* 1/192 (/ (pow PI 3) (pow f 3))) into (* 1/192 (/ (pow PI 3) (pow f 3))) * [misc]backup-simplify: Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5)) * [misc]backup-simplify: Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))) 1)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) into (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -3) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (/ (pow PI 3) (pow f 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -5) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 6))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (pow f 8))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 6))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (pow f 10))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (pow f 10))) (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (pow f 8)))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))) 2)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 6))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (pow f 8))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 6))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (pow f 10))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (pow f 10))) (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (pow f 8))))))))) 1)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))) * [misc]backup-simplify: Simplify (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))) into (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))))))))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 4)) (* (pow (/ 1 f) 6) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 6)) (* (pow (/ 1 f) 8) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 8)) (* (pow (/ 1 f) 10) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 8)) (* (pow (/ 1 f) 10) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 4)) (* (pow (/ 1 f) 6) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 6)) (* (pow (/ 1 f) 8) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 4)) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 8)) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 4))) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 4)) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 8))) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 8)) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 6))) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 6)) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 6)) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))))))))))))) (pow (/ 1 f) 2)) (+ (* (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 2)) (* (pow (/ 1 f) 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 4)) (* (pow (/ 1 f) 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 4)) (* (pow (/ 1 f) 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 2)) (* (pow (/ 1 f) 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))))))) (/ 1 f)) (+ (log (/ 1 f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) PI)))))) into (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (/ 1 f)) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 7/92160 (/ (* (pow f 4) (* (pow PI 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow f 4) (* (pow PI 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/30720 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (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)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) 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 (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) 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 (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) into (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))) 1)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 1)))) 1) into (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 7)))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f)))))))))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))) 2)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 7)))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp 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-1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2) (* (pow PI 6) (exp (* 5 (- (log -1) (log (/ 1 (- f))))))))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2) (pow PI 8))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI (/ 1 (- f))))) 2))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 8) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))) (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (pow (exp (* 1/4 (/ PI (/ 1 (- f))))) 2)))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2)))))))))))))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 4))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 4) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 2))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))) (/ 1 (- f))) (+ (log (/ 1 (- f))) (log (* -2 (/ (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) PI)))))) into (- (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 8))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (log (/ -1 f)) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 6)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))))))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 4))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 8) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 6) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 8) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 4) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 2))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 4))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 8))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 6)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 4) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2))))))))))))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 2 2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 2 2 2 2 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) 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)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) 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)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (/ 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 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 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 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/192 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 5)) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/3072 (pow PI 4)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (* 1/12 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 4 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (/ 4 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (/ 4 PI) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 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))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))))) 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))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) 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 (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))))) 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))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) 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 (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) (* 1/2 PI)) into (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) into (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))) into (* 4 (/ (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) into (* 4 (/ (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (* (pow f -3) (pow PI 3)) into (/ (pow PI 3) (pow f 3)) * [misc]backup-simplify: Simplify (* 1/192 (/ (pow PI 3) (pow f 3))) into (* 1/192 (/ (pow PI 3) (pow f 3))) * [misc]backup-simplify: Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5)) * [misc]backup-simplify: Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))) 1)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 1) into (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (* 0 (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))))) into (- (+ (* 1/7680 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/7680 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/7680 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/7680 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) into (- (+ (* 1/7680 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/7680 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -3) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (/ (pow PI 3) (pow f 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -5) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 6))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (pow f 8))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 6))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (pow f 10))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (pow f 10))) (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (pow f 8)))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (/ (* (exp (* 1/4 (/ PI f))) PI) (pow f 3))) (+ (* 1/48 (/ (* (exp (- (* 1/4 (/ PI f)))) PI) (pow f 3))) (+ (* 1/15360 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 5))) (* 1/15360 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 5)))))))) 2)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (pow f 6))) (+ (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (pow f 8))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (pow f 6))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (pow f 10))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (pow f 10))) (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (pow f 8))))))))) 1)) (pow (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 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 (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/2 (- (+ (* 1/4608 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 8)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/737280 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 6)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/9216 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/9216 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/1474560 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 6))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/943718400 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 8)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/1474560 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 6)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))))) (+ (* 0 (* -1 (+ (* 1/96 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/30720 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 4)) (* (pow f 5) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/96 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 2)) (* (pow f 3) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (* 0 (+ (log f) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) PI))))))) into (- (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 7))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 5))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 7))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 5))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))) into (- (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/235929600 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 7)) (* (pow f 10) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 3)) (* (pow f 6) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/368640 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (pow PI 5)) (* (pow f 8) (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 7))) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 5))) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 5)) (* (pow f 8) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 3)) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (* (pow f 6) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2)))) (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (/ PI f)))) 2) (pow PI 7)) (* (pow f 10) (pow (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) 2))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 7)) (* (pow (/ 1 f) 10) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/2304 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 3)) (* (pow (/ 1 f) 6) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/235929600 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 7)) (* (pow (/ 1 f) 10) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)) (* (pow (/ 1 f) 6) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/368640 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 5)) (* (pow (/ 1 f) 8) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 5)) (* (pow (/ 1 f) 8) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))))))))))) (+ (* 1/737280 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 5)) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/235929600 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 7))) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/368640 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 5))) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 3)) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 7)) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/737280 (/ (* (pow (exp (* 1/4 (/ PI (/ 1 f)))) 2) (pow PI 5)) (* (pow (/ 1 f) 8) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/4608 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 3)) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (+ (* 1/2304 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 3))) (* (pow (/ 1 f) 6) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2)))) (* 1/471859200 (/ (* (pow (exp (- (* 1/4 (/ PI (/ 1 f))))) 2) (pow PI 7)) (* (pow (/ 1 f) 10) (pow (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) 2))))))))))))) (pow (/ 1 f) 2)) (+ (* (- (+ (* 1/7680 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 3)) (* (pow (/ 1 f) 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/24 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) PI) (* (pow (/ 1 f) 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (+ (* 1/24 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) PI) (* (pow (/ 1 f) 3) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))) (* 1/7680 (/ (* (exp (- (* 1/4 (/ PI (/ 1 f))))) (pow PI 3)) (* (pow (/ 1 f) 5) (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))))))) (/ 1 f)) (* 4 (/ (+ (log (/ 1 f)) (log (* 2 (/ (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f))))) PI)))) PI)))) into (- (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) PI)) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/235929600 (/ (* (pow f 8) (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* (pow f 2) (* PI (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/737280 (/ (* (pow PI 5) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow f 4) (* (pow PI 3) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* PI (* (pow f 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow f 8) (* (pow PI 7) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow PI 3) (* (pow f 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/737280 (/ (* (pow f 6) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2)))))))))))))))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))))) 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)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) 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 (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))))) 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)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f)))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) 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 (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/2 PI))) into (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) * [misc]backup-simplify: Simplify (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) into (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI))))) into (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) PI)) into (* 4 (/ (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) into (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))) 1)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 1)))) 1) into (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))) (* 0 (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))))) into (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/24 (/ (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 7)))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f)))))))))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f)))))) (+ (* 1/48 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI))) (+ (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (* 1/15360 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 3))))))))) 2)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 1/4 (/ PI f))))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 7) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 7)))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 3) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 3)))) (* 1/1474560 (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f))))))))))))))))) 1)) (pow (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)) 1)))) 2) into (* 1/2 (- (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))))))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 3 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 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 (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) into (+ (log f) (log (* -2 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/2 (- (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (pow PI 8))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* -1/4 (/ PI f)))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))))))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (pow (exp (* -1/4 (/ PI f))) 2)))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 3 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 4))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/9216 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (pow PI 4) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 4) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow (exp (* 1/4 (/ PI f))) 2) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow (exp (* 1/4 (/ PI f))) 2) (pow PI 8))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/2949120 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* -1/4 (/ PI f))) (exp (* 3 (- (log -1) (log f)))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (* (pow PI 6) (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f))))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (+ (* 1/943718400 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (pow PI 8) (pow (exp (* -1/4 (/ PI f))) 2))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2))) (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (* (exp (* 1/4 (/ PI f))) (* (pow PI 8) (exp (* -1/4 (/ PI f)))))) (pow (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) 2)))))))))))))))))) (+ (* 0 (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 4))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 1/96 (/ (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (+ (* 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(pow PI 7))) (pow (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) 2))))))))))))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 3) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) PI)) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 3))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* PI (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))) (/ 1 (- f))) (* 4 (/ (+ (log (/ 1 (- f))) (log (* -2 (/ (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) PI)))) PI)))) into (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 7) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 4 (/ (log (* -2 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) PI))) PI)) (+ (* 4 (/ (log (/ -1 f)) PI)) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 3))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (pow PI 7))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (exp (* 1/4 (* PI f)))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 5)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2)))) (* 1/737280 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 5)))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))))))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (* (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* PI (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/2304 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 3) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 5)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 7))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 3))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/24 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) PI)) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/471859200 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 7) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/1474560 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (pow (exp (* -1/4 (* PI f))) 2) (pow PI 5)))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/4608 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (* (pow PI 3) (pow (exp (* 1/4 (* PI f))) 2))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (+ (* 1/7680 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 3))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) f))) (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (* (pow PI 5) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (exp (* 1/4 (* PI f))))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))) (* 1/235929600 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (* (exp (* -1/4 (* PI f))) (* (pow PI 7) (exp (* 1/4 (* PI f)))))) (* (pow (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) 2) (pow f 2)))))))))))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (log (* (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (* (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (cbrt (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 4 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 5 / 121 ] 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (cbrt (fma PI (fma (* (* f f) 1/192) (* (* f PI) PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (cbrt (fma PI (fma (* (* f f) 1/192) (* (* f PI) PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (cbrt (fma PI (fma (* (* f f) 1/192) (* (* f PI) PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI))))) (cbrt (fma PI (fma (* (* f f) 1/192) (* (* f PI) PI) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 6 / 121 ] 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 (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (296 enodes) * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 7 / 121 ] 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 (76 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (130 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))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 8 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))) (cbrt (fma PI (fma (* PI PI) (* (* f f) (* f 1/192)) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5))))) (cbrt (fma PI (fma (* PI PI) (* (* f f) (* f 1/192)) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI))))) (cbrt (fma PI (fma (* PI PI) (* (* f f) (* f 1/192)) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5))))) (cbrt (fma PI (fma (* PI PI) (* (* f f) (* f 1/192)) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 9 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 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 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * * [misc]simplify: iters left: 2 (475 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (sqrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (sqrt (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 10 / 121 ] 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 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (234 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))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 11 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (- (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 12 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (+ (* 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 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 13 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 14 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (- (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 15 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (+ (* 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 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 16 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 17 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log 1) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 18 / 121 ] 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 19 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (fma (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* f PI)) (* (* f PI) (* f PI)))) (* (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* f PI)) (* (* f PI) (* f PI)))) (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* f PI)) (* (* f PI) (* f PI))))) (pow (* PI (* f 1/2)) 3)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (fma (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* f PI)) (* (* f PI) (* f PI)))) (* (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* f PI)) (* (* f PI) (* f PI)))) (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* f PI)) (* (* f PI) (* f PI))))) (pow (* PI (* f 1/2)) 3)))) (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 20 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (* (* (* f 1/2) PI) (* (* f 1/2) PI)) (* (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* PI PI)) (* (* f f) (* f PI)))) (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* PI PI)) (* (* f f) (* f PI)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (- (* (* (* f 1/2) PI) (* (* f 1/2) PI)) (* (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* PI PI)) (* (* f f) (* f PI)))) (fma (* (pow f 5) (pow PI 5)) 1/61440 (* (* 1/192 (* PI PI)) (* (* f f) (* f PI)))))))) (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) * * * * [misc]progress: [ 21 / 121 ] 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) * * * * [misc]progress: [ 22 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 121 ] 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) * * * * [misc]progress: [ 25 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ f 4) (- PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440))))))) * * * * [misc]progress: [ 26 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 57 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ PI 4))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ PI 4)))))) * * * * [misc]progress: [ 59 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (fma PI (fma (* f (* 1/192 f)) (* (* PI PI) f) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ PI 4))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (fma PI (fma (* f (* 1/192 f)) (* (* PI PI) f) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ PI 4)))))) * * * * [misc]progress: [ 60 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (35 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (* (pow (/ 4 PI) 3) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma (* (* (* f f) (* f 1/192)) (* PI PI)) PI (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* f 1/2) PI)))))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma (* (* (* f f) (* f 1/192)) (* PI PI)) PI (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* f 1/2) PI))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma (* (* (* f f) (* f 1/192)) (* PI PI)) PI (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* f 1/2) PI))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (pow (/ 4 PI) 3) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma (* (* (* f f) (* f 1/192)) (* PI PI)) PI (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* f 1/2) PI)))))) (* (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma (* (* (* f f) (* f 1/192)) (* PI PI)) PI (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* f 1/2) PI))))) (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (* f (/ PI 4)))) (fma (* (* (* f f) (* f 1/192)) (* PI PI)) PI (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* f 1/2) PI)))))))))) * * * * [misc]progress: [ 63 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI 4))))) * * * * [misc]progress: [ 68 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (321 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ (* f PI) 4))) (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))))) (/ PI 4))))) * * * * [misc]progress: [ 69 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))))) * * * * [misc]progress: [ 70 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))))) * * * * [misc]progress: [ 71 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (fma PI (fma (* PI PI) (* (* f f) (* 1/192 f)) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (/ PI 4)) * [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 (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (fma PI (fma (* PI PI) (* (* f f) (* 1/192 f)) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (/ PI 4))))) * * * * [misc]progress: [ 72 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))))) * * * * [misc]progress: [ 73 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))))) * * * * [misc]progress: [ 74 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (fma PI (fma (* PI PI) (* (* f f) (* 1/192 f)) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (/ PI 4)) * [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 (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f))))) (fma PI (fma (* PI PI) (* (* f f) (* 1/192 f)) (* 1/2 f)) (* (* 1/61440 (pow PI 5)) (pow f 5))))) (/ PI 4))))) * * * * [misc]progress: [ 75 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))))) * * * * [misc]progress: [ 76 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))))) * * * * [misc]progress: [ 77 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4))))) * * * * [misc]progress: [ 78 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))))) * * * * [misc]progress: [ 79 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (353 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ PI (/ 4 f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (/ PI 4))))) * * * * [misc]progress: [ 80 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4))))) * * * * [misc]progress: [ 81 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4))))) * * * * [misc]progress: [ 82 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (/ 1 (+ (* 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 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (* (log (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (- (/ 4 PI))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (log (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* 1/2 f)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (- (/ 4 PI)))))) * * * * [misc]progress: [ 83 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 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 (29 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (* (log (fma (fma (* 1/61440 (pow f 5)) (pow PI 5) (* (* 1/192 (* PI PI)) (* (* f PI) (* f f)))) (fma (* (* (* 1/192 f) f) (* f (* PI PI))) PI (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* 1/2 f) (- PI)))) (* (* (* 1/2 PI) f) (* (* 1/2 PI) f)))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3))))) (* (log (fma (fma (* 1/61440 (pow f 5)) (pow PI 5) (* (* 1/192 (* PI PI)) (* (* f PI) (* f f)))) (fma (* (* (* 1/192 f) f) (* f (* PI PI))) PI (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* 1/2 f) (- PI)))) (* (* (* 1/2 PI) f) (* (* 1/2 PI) f)))) (/ 4 PI))))) * * * * [misc]progress: [ 84 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (- (* 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 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (/ (log (- (fma (* 1/61440 (pow f 5)) (- (pow PI 5)) (* (* 1/2 f) PI)) (* (* PI (* 1/192 f)) (* (* f f) (* PI PI))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ (log (- (fma (* 1/61440 (pow f 5)) (- (pow PI 5)) (* (* 1/2 f) PI)) (* (* PI (* 1/192 f)) (* (* f f) (* PI PI))))) (/ PI 4))))) * * * * [misc]progress: [ 85 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* PI PI) (* (* f f) (* 1/192 f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (/ (log (cbrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* PI PI) (* (* f f) (* 1/192 f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))))) * * * * [misc]progress: [ 86 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* PI PI) (* (* f f) (* 1/192 f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (/ (log (sqrt (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* PI PI) (* (* f f) (* 1/192 f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))))) * * * * [misc]progress: [ 87 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (cbrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) 1/192) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (cbrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) 1/192) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ PI 4))))) * * * * [misc]progress: [ 88 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) 1/192) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ 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 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (/ (log (/ (cbrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) 1/192) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ PI 4))))) * * * * [misc]progress: [ 89 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f))))) (fma PI (fma (* PI PI) (* (* f f) (* f 1/192)) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))) (/ 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)))))) 1)) (/ 1 (/ PI 4))) (/ (log (/ (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f))))) (fma PI (fma (* PI PI) (* (* f f) (* f 1/192)) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))) (/ PI 4))))) * * * * [misc]progress: [ 90 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (cbrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) 1/192) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (cbrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) 1/192) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ PI 4))))) * * * * [misc]progress: [ 91 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) 1/192) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (/ (log (/ (sqrt (+ (exp (* f (/ PI 4))) (exp (* (/ f 4) (- PI))))) (sqrt (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) 1/192) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ PI 4))))) * * * * [misc]progress: [ 92 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f))))) (fma PI (fma (* PI PI) (* (* f f) (* f 1/192)) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))) (/ PI 4)) * [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))))) (fma PI (fma (* PI PI) (* (* f f) (* f 1/192)) (* 1/2 f)) (* (pow PI 5) (* (pow f 5) 1/61440))))) (/ PI 4))))) * * * * [misc]progress: [ 93 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))))) * * * * [misc]progress: [ 94 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))))) * * * * [misc]progress: [ 95 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ PI 4))))) * * * * [misc]progress: [ 96 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))))) * * * * [misc]progress: [ 97 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (367 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (/ PI 4))))) * * * * [misc]progress: [ 98 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ PI 4))))) * * * * [misc]progress: [ 99 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ f 4) PI)) (exp (* (/ PI 4) (- f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ PI 4))))) * * * * [misc]progress: [ 100 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (* (log (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (- (/ 4 PI))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (* (log (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))) (- (/ 4 PI)))))) * * * * [misc]progress: [ 101 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (/ (log (fma (fma (* (* (* f f) (* 1/192 f)) (* PI PI)) PI (fma (* 1/61440 (pow f 5)) (pow PI 5) (* (- PI) (* 1/2 f)))) (fma (* 1/61440 (pow f 5)) (pow PI 5) (* (* (* 1/192 f) f) (* (* PI f) (* PI PI)))) (* (* (* PI f) 1/2) (* (* PI f) 1/2)))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3)))) (/ 1 (/ PI 4))) (/ (log (fma (fma (* (* (* f f) (* 1/192 f)) (* PI PI)) PI (fma (* 1/61440 (pow f 5)) (pow PI 5) (* (- PI) (* 1/2 f)))) (fma (* 1/61440 (pow f 5)) (pow PI 5) (* (* (* 1/192 f) f) (* (* PI f) (* PI PI)))) (* (* (* PI f) 1/2) (* (* PI f) 1/2)))) (/ PI 4))))) * * * * [misc]progress: [ 102 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (/ (log (fma (* (* (* PI PI) (* PI f)) (- (* f f))) 1/192 (fma (* (pow PI 5) (pow f 5)) (- 1/61440) (* (* PI f) 1/2)))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (/ 1 (/ PI 4))) (/ (log (fma (* (* (* PI PI) (* PI f)) (- (* f f))) 1/192 (fma (* (pow PI 5) (pow f 5)) (- 1/61440) (* (* PI f) 1/2)))) (/ PI 4))))) * * * * [misc]progress: [ 103 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))))) * * * * [misc]progress: [ 104 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))) (cbrt (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))))) * * * * [misc]progress: [ 105 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))) (sqrt (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) (pow PI 5)) 1/61440)))))))) * * * * [misc]progress: [ 106 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (281 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (* (pow f 5) 1/61440) (pow PI 5)))))))) * * * * [misc]progress: [ 107 / 121 ] 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) * [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)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 108 / 121 ] 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) * [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)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 109 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 121 ] 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)))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 112 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (* 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 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ f (/ 4 PI)))) (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* 1/2 (* PI f)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (log (/ (+ (exp (* (/ PI 4) (- f))) (exp (/ f (/ 4 PI)))) (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* 1/2 (* PI f)))))) (/ PI 4)))) * * * * [misc]progress: [ 113 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 121 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (- (fma 1/48 (* (* f PI) (* f PI)) (log (/ 4 PI))) (fma (* (pow f 4) 7/23040) (pow PI 4) (log f))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (fma 1/48 (* (* f PI) (* f PI)) (log (/ 4 PI))) (fma (* (pow f 4) 7/23040) (pow PI 4) (log f)))))) * * * * [misc]progress: [ 115 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/1474560 (/ (* (pow PI 6) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (/ 1 f)) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 7/92160 (/ (* (pow f 4) (* (pow PI 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) (+ (* 1/943718400 (/ (* (pow PI 8) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/18432 (/ (* (pow PI 4) (* (pow f 4) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/943718400 (/ (* (pow f 8) (* (pow PI 8) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/9216 (/ (* (pow f 4) (* (pow PI 4) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/1474560 (/ (* (pow f 6) (* (pow PI 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/18432 (/ (* (pow f 4) (* (pow PI 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/2949120 (/ (* (pow PI 6) (* (pow f 6) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/30720 (/ (* (pow PI 4) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/1887436800 (/ (* (pow PI 8) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (* 1/96 (/ (* (pow f 2) (* (pow PI 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))))))))))))))) * * [misc]simplify: iters left: 6 (131 enodes) * * [misc]simplify: iters left: 5 (389 enodes) * [exit]simplify: Simplified to (- (- (+ (+ (- (/ (* (* 1/1474560 (* (pow PI 6) (pow f 6))) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (log f)) (fma 1/943718400 (/ (* (pow (exp 1/4) (* PI f)) (* (pow PI 8) (pow f 8))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (/ (* (* 1/1474560 (* (pow PI 6) (pow f 6))) (pow (exp 1/4) (* PI f))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))))) (+ (+ (/ (* (* 7/92160 (* (pow PI 4) (pow f 4))) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (fma (/ (* (exp (* (- 1/4) (* PI f))) (* (pow PI 8) (pow f 8))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) 1/943718400 (/ (* 1/9216 (* (* (pow PI 4) (pow f 4)) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))))) (log (/ (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) 2) PI)))) (fma (/ (* (* (exp (* (- 1/4) (* PI f))) (* (pow PI 8) (pow f 8))) (exp (* (- 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))) 1/1887436800 (/ (* (* 1/18432 (* (pow PI 4) (pow f 4))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))))) (fma (/ (/ (* (pow f 8) (* (pow PI 8) 1)) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) 1/943718400 (+ (+ (fma 1/9216 (/ (* (pow f 4) (* (pow PI 4) 1)) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))) (/ (* (* 1/1474560 (pow f 6)) (* (pow PI 6) 1)) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))))) (fma (/ (* (pow (exp 1/4) (* PI f)) (* (* f f) (* PI PI))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) 1/96 (/ (* (* 1/18432 (* (pow PI 4) (pow f 4))) (exp (+ (* (- 1/4) (* PI f)) (* (- 1/4) (* PI f))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))))) (+ (+ (/ (* (* 1/2949120 (* (pow PI 6) (pow f 6))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))) (/ (* (* 1/2949120 (* (pow PI 6) (pow f 6))) (exp (+ (* (- 1/4) (* PI f)) (* (- 1/4) (* PI f))))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))))) (+ (+ (/ (* (* (* (pow PI 4) (pow f 4)) (pow (exp 1/4) (* PI f))) 1/30720) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (/ (* (* 1/96 (* (* f f) (* PI PI))) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))) (/ (/ (* (* 1/1887436800 (* (pow PI 8) (pow f 8))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (- (+ (+ (- (/ (* (* 1/1474560 (* (pow PI 6) (pow f 6))) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (log f)) (fma 1/943718400 (/ (* (pow (exp 1/4) (* PI f)) (* (pow PI 8) (pow f 8))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (/ (* (* 1/1474560 (* (pow PI 6) (pow f 6))) (pow (exp 1/4) (* PI f))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))))) (+ (+ (/ (* (* 7/92160 (* (pow PI 4) (pow f 4))) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (fma (/ (* (exp (* (- 1/4) (* PI f))) (* (pow PI 8) (pow f 8))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) 1/943718400 (/ (* 1/9216 (* (* (pow PI 4) (pow f 4)) (pow (exp 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))))) (log (/ (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) 2) PI)))) (fma (/ (* (* (exp (* (- 1/4) (* PI f))) (* (pow PI 8) (pow f 8))) (exp (* (- 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))) 1/1887436800 (/ (* (* 1/18432 (* (pow PI 4) (pow f 4))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))))) (fma (/ (/ (* (pow f 8) (* (pow PI 8) 1)) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f))))) 1/943718400 (+ (+ (fma 1/9216 (/ (* (pow f 4) (* (pow PI 4) 1)) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))))) (/ (* (* 1/1474560 (pow f 6)) (* (pow PI 6) 1)) (* (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) (* PI f)))) (+ (pow (exp 1/4) (* PI f)) (exp (* (- 1/4) 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(pow f 2))))))))))))))))))) * * [misc]simplify: iters left: 6 (172 enodes) * [exit]simplify: Simplified to (- (- (fma 1/2949120 (/ (pow (exp 3) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (* (pow PI 6) (pow (exp 1/4) (* f PI))) (pow (exp 5) (- (log -1) (log (/ -1 f))))))) (+ (+ (* 1/943718400 (/ (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow PI 8) (pow (exp -1/4) (* f PI)))))) (* 1/2949120 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (pow PI 6) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (+ (+ (log (/ -1 f)) (* 1/9216 (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (/ (* (* f f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (pow (exp 1/4) (* f PI)) (pow 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(+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (* 1/1887436800 (/ (* (* (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (pow PI 8)) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))))) (fma 1/5898240 (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (* (* (pow PI 6) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))) (* 1/18432 (* (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (/ (* (pow PI 4) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f))))))))))))))) * * * * [misc]progress: [ 117 / 121 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (fma (* 1/61440 (pow f 5)) (pow PI 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* (* 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)))) (fma (* 1/61440 (pow f 5)) (pow PI 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* (* PI f) 1/2)))))))) * * * * [misc]progress: [ 118 / 121 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (fma (* 1/61440 (pow f 5)) (pow PI 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* (* 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)))) (fma (* 1/61440 (pow f 5)) (pow PI 5) (fma (* (* PI f) 1/192) (* (* PI f) (* PI f)) (* (* PI f) 1/2)))))))) * * * * [misc]progress: [ 119 / 121 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI f) (* f 1/12)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (- (* (* PI f) (* f 1/12)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 120 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (/ 1 f)) PI)) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/235929600 (/ (* (pow PI 7) (* (pow f 8) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 4 (/ (log (* 2 (/ (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) PI))) PI)) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))))))))))) (+ (* 1/235929600 (/ (* (pow f 8) (* (pow PI 7) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* (pow f 2) (* PI (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/737280 (/ (* (pow PI 5) (* (pow f 6) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow f 4) (* (pow PI 3) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/24 (/ (* PI (* (pow f 2) (exp (- (* 1/4 (* PI f)))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (+ (* 1/2304 (/ (* (pow f 4) (* (pow PI 3) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow f 8) (* (pow PI 7) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/368640 (/ (* (pow PI 5) (* (pow f 6) (* (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/4608 (/ (* (pow PI 3) (* (pow f 4) (pow (exp (- (* 1/4 (* PI f)))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/471859200 (/ (* (pow PI 7) (* (pow f 8) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2))) (+ (* 1/7680 (/ (* (pow PI 3) (* (pow f 4) (exp (* 1/4 (* PI f))))) (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))))) (* 1/737280 (/ (* (pow f 6) (* (pow PI 5) (pow (exp (* 1/4 (* PI f))) 2))) (pow (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f))))) 2)))))))))))))))) * * [misc]simplify: iters left: 6 (141 enodes) * * [misc]simplify: iters left: 5 (423 enodes) * [exit]simplify: Simplified to (- (+ (+ (fma 1/368640 (/ (* (* (pow PI 5) (pow f 6)) (exp (* (- 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (- (* 4 (log f))) PI)) (+ (/ (* (* 1/235929600 (* (pow f 8) (pow PI 7))) (exp (* (- 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/235929600 (* (pow f 8) (pow PI 7))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))))) (fma 1/2304 (/ (* (* (pow f 4) (pow PI 3)) (exp (* (- 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (fma (/ (log (* (/ (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) PI) 2)) PI) 4 (fma 1/2304 (/ (* (* (pow f 4) (pow PI 3)) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* 1/368640 (* (* (pow PI 5) (pow f 6)) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))))))) (+ (fma 1/235929600 (/ (/ (* (* (pow f 8) (pow PI 7)) 1) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* 1/24 (* (* PI (* f f)) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (+ (+ (fma 1/7680 (/ (* (* (pow f 4) (pow PI 3)) (exp (* (- 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/737280 (* (pow PI 5) (pow f 6))) (* (exp (* (- 1/4) (* PI f))) (exp (* (- 1/4) (* PI f))))) (* (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))))) (/ (/ (* (* 1/4608 (* (pow f 4) (pow PI 3))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (+ (+ (fma 1/24 (/ (* (* PI (* f f)) (exp (* (- 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (/ (* (* 1/2304 (pow f 4)) (* (* 1 PI) (* PI PI))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (+ (/ (* (* 1/471859200 (* (pow f 8) (pow PI 7))) (* (exp (* (- 1/4) (* PI f))) (exp (* (- 1/4) (* PI f))))) (* (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/368640 (pow PI 5)) (* (pow f 6) 1)) (* (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))))) (+ (fma 1/471859200 (* (/ (* (pow f 8) (pow PI 7)) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (/ (* (* (* (pow f 4) (pow PI 3)) (pow (exp 1/4) (* PI f))) 1/7680) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (+ (/ (/ (* (* 1/737280 (* (pow PI 5) (pow f 6))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/4608 (* (pow f 4) (pow PI 3))) (* (exp (* (- 1/4) (* PI f))) (exp (* (- 1/4) (* PI f))))) (* (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))))))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (- (+ (+ (fma 1/368640 (/ (* (* (pow PI 5) (pow f 6)) (exp (* (- 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (- (* 4 (log f))) PI)) (+ (/ (* (* 1/235929600 (* (pow f 8) (pow PI 7))) (exp (* (- 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/235929600 (* (pow f 8) (pow PI 7))) (pow (exp 1/4) (* PI f))) (+ (exp (* 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1/4) (* PI f))) (exp (* (- 1/4) (* PI f))))) (* (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))))) (/ (/ (* (* 1/4608 (* (pow f 4) (pow PI 3))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (+ (+ (fma 1/24 (/ (* (* PI (* f f)) (exp (* (- 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (/ (* (* 1/2304 (pow f 4)) (* (* 1 PI) (* PI PI))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (+ (/ (* (* 1/471859200 (* (pow f 8) (pow PI 7))) (* (exp (* (- 1/4) (* PI f))) (exp (* (- 1/4) (* PI f))))) (* (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (/ (* (* 1/368640 (pow PI 5)) (* (pow f 6) 1)) (* (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))))) (+ (fma 1/471859200 (* (/ (* (pow f 8) (pow PI 7)) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (/ (* (* (* (pow f 4) (pow PI 3)) (pow (exp 1/4) (* PI f))) 1/7680) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))) (+ (/ (/ (* (* 1/737280 (* (pow PI 5) (pow f 6))) (* (pow (exp 1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f)))) (/ (* (* 1/4608 (* (pow f 4) (pow PI 3))) (* (exp (* (- 1/4) (* PI f))) (exp (* (- 1/4) (* PI f))))) (* (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))) (+ (exp (* (- 1/4) (* PI f))) (pow (exp 1/4) (* PI f))))))))))))) * * * * [misc]progress: [ 121 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/737280 (/ (* (exp (* 3 (- (log -1) (log 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(pow (exp 1/4) (* f PI)))) (* f f)))) (* 1/1474560 (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (* (* (pow PI 5) (* (pow (exp -1/4) (* f PI)) (pow (exp -1/4) (* f PI)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))))))) (+ (+ (* 1/4608 (* (/ (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp 3) (- (log -1) (log (/ -1 f))))) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))) (/ (* (pow PI 3) (* (pow (exp 1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* f f)))) (/ (* 1/7680 (* (* (pow (exp -1/4) (* f PI)) (pow PI 3)) (pow (exp 5) (- (log -1) (log (/ -1 f)))))) (* f (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) (fma 1/737280 (/ (* (* (pow (exp 3) (- (log -1) (log (/ -1 f)))) (pow (exp -1/4) (* f PI))) (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (* (pow PI 5) (pow (exp 1/4) (* f PI))))) (* (* f f) (* (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))) (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI)))))) (/ (* 1/235929600 (* (* (pow (exp 5) (- (log -1) (log (/ -1 f)))) (pow (exp 5) (- (log -1) (log (/ -1 f))))) (* (* (pow (exp -1/4) (* f PI)) (pow PI 7)) (pow (exp 1/4) (* f PI))))) (* (* f f) (* (+ (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 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 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1 2 3 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) 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) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1 (* 1/4 PI))) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 f) (* f f))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 f) (* f f))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 f) (* f f)) in f * [misc]taylor: Taking taylor expansion of (* 1/192 f) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (* 0 0)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/192 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) 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) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1 (* 1/4 PI))) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 f) (* f f))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 f) (* f f))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 f) (* f f)) in f * [misc]taylor: Taking taylor expansion of (* 1/192 f) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (* 0 0)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/192 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (- (log (/ 4 PI)) (log f)) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 1/192 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/192 1) (+ (* 0 0) (* 0 0)))) into 1/192 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 1/192) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (pow PI 2)) (* 1/2 PI)) (+ (* (/ 4 PI) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (* 1/48 (pow PI 2)) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [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 1/192) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 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 (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 1/192) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 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 (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- (/ 1 f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- (/ 1 f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2))) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f)))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* (pow PI 2) 1/192) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- (/ 1 f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- (/ 1 f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2))) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f)))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* (pow PI 2) 1/192) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) into (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (pow f -5) (* 1/61440 (pow PI 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI)))))) 1)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 3/160 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 3/160 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 3/160 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f)))))))) (* 3/160 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) (pow PI 2)) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f)))))))))) (pow (/ 1 f) 3)) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f)))))))) (* 192 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f)))))))))) (pow (/ 1 f) 2)) (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f))))) (pow PI 3)))) (* 3 (log (/ 1 f)))))) into (- (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/320 (/ (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))))) (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- (/ 1 (- f))) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- (/ 1 (- f))) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2))) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f))))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 -1) into -1/192 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1/192 1) into -1/192 * [misc]backup-simplify: Simplify (* (pow PI 2) -1/192) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- (/ 1 (- f))) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- (/ 1 (- f))) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2))) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f))))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 -1) into -1/192 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1/192 1) into -1/192 * [misc]backup-simplify: Simplify (* (pow PI 2) -1/192) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) into (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 -1/192)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 -1/192))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/192)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (* 1/61440 (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) into (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) (pow PI 2))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 2) (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))))) (pow (/ 1 (- f)) 3)) (+ (* (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (* 192 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))) (pow (/ 1 (- f)) 2)) (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))))) into (- (+ (* 3 (log (/ -1 f))) (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))))) (+ (* 1/320 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 2))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))) (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 1 2 3 2 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) 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) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1 (* 1/4 PI))) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 f) (* f f))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 f) (* f f))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 f) (* f f)) in f * [misc]taylor: Taking taylor expansion of (* 1/192 f) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (* 0 0)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/192 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [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)) (* 1/4 PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]taylor: Taking taylor expansion of (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- f) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- f) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (* 0 (* 1/4 PI)) 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) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1 (* 1/4 PI))) into (- (* 1/4 PI)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) f)) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) f) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 1) (* 0 0)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2))) (* (pow f 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 f) (* f f))) (* f 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 f) (* f f))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 f) (* f f)) in f * [misc]taylor: Taking taylor expansion of (* 1/192 f) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* f 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (pow PI 2) 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (* 0 0)) into 1/192 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1/192 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ 2 (* 1/2 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (log (/ 4 PI)) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [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)) (* 1/4 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 (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (+ (* -1/4 PI) (* 1/4 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* 1/192 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 4 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) (/ 0 (* 1/4 PI))))) 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)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1 0) (* 0 (* 1/4 PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/192 1) (+ (* 0 0) (* 0 0)))) into 1/192 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 1/192) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* PI (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/16 (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 (- (/ (* 1/48 (pow PI 2)) (* 1/4 PI)) (+ (* (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 3) 6)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/384 (pow PI 3)) (* 1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [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 1/192) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (/ 4 PI) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (* 1/12 PI) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 4 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (/ 4 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 4 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (* 1/12 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1/4 PI)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/4 PI)) 4) 24)) (* (/ (pow (- (* 1/4 PI)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/4 PI)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 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 (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 1/192) (+ (* 0 0) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1/192 (pow PI 2))) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 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 (- (/ (* -7/23040 (pow PI 4)) (* 1/4 PI)) (+ (* (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (* 1/12 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 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 (/ (log (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- (/ 1 f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- (/ 1 f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2))) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f)))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* (pow PI 2) 1/192) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) (* 1/4 PI)) into (* 4 (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]taylor: Taking taylor expansion of (/ (log (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- (/ 1 f)) (/ PI 4))) (exp (* (/ PI 4) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- (/ 1 f)) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- (/ 1 f)) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* -1 (* 1/4 PI)) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- (/ 1 f)) (/ PI 4))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) 1) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 f))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2))) (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) (* (/ 1 f) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f)))) (* (/ 1 f) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 (/ 1 f)) (* (/ 1 f) (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify (* (pow PI 2) 1/192) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 2)) 0) into (* 1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (* PI (* 1/192 (pow PI 2))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (* 1/192 (pow PI 3))) into (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) into (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) (* 1/4 PI)) into (* 4 (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) into (* 4 (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1/192)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (* 1/192 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ 0 (* 1/192 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 1/192))) into 0 * [misc]backup-simplify: Simplify (* 1 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* PI 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2))))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* 0 (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into (- (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (- (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/192)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1/2) (+ (* 0 0) (* 0 (* 1/192 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (pow f -5) (* 1/61440 (pow PI 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/192 (pow PI 3))) (+ (* (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (/ (pow PI 5) (pow f 5))) (* 1/192 (pow PI 3)))) (* 0 (/ (* 1/2 PI) (* 1/192 (pow PI 3)))) (* (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) (/ 0 (* 1/192 (pow PI 3)))))) into (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))))) 1)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (exp (* -1/4 (/ PI f))) (* (pow f 5) PI))) (* 3/5 (/ (exp (* 1/4 (/ PI f))) (* (pow f 5) PI)))))) 1)) (pow (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 3/160 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/6 (+ (* 3/160 (/ (* (pow PI 2) (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 3/160 (/ (* (exp (* 1/4 (/ PI f))) (pow PI 2)) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) (/ 0 (* 1/4 PI))))) into (- (+ (* 1/80 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/80 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (- (+ (* 1/80 (/ (* PI (exp (* -1/4 (/ PI f)))) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/80 (/ (* (exp (* 1/4 (/ PI f))) PI) (* (pow f 5) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/80 (/ (* PI (exp (* -1/4 (/ PI (/ 1 f))))) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f)))))))) (* 1/80 (/ (* (exp (* 1/4 (/ PI (/ 1 f)))) PI) (* (pow (/ 1 f) 5) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f)))))))))) (pow (/ 1 f) 3)) (+ (* (- (+ (* 384 (/ (exp (* -1/4 (/ PI (/ 1 f)))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f)))))))) (* 384 (/ (exp (* 1/4 (/ PI (/ 1 f)))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f)))))))))) (pow (/ 1 f) 2)) (* 4 (/ (+ (log (* 192 (/ (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f))))) (pow PI 3)))) (* 3 (log (/ 1 f)))) PI)))) into (- (+ (* 12 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI))) (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 2))))) (+ (* 1/80 (/ (* (pow f 2) (* PI (exp (* 1/4 (* PI f))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* PI (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))) * [misc]approximate: Taking taylor expansion of (/ (log (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- (/ 1 (- f))) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- (/ 1 (- f))) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2))) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f))))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 -1) into -1/192 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1/192 1) into -1/192 * [misc]backup-simplify: Simplify (* (pow PI 2) -1/192) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) (* 1/4 PI)) into (* 4 (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]taylor: Taking taylor expansion of (/ (log (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (log (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))))) in f * [misc]taylor: Taking taylor expansion of (/ (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)))) in f * [misc]taylor: Taking taylor expansion of (+ (exp (* (- (/ 1 (- f))) (/ PI 4))) (exp (* (/ PI 4) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (exp (* (- (/ 1 (- f))) (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- f))) (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (- (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* 1 (* 1/4 PI)) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (* (- (/ 1 (- f))) (/ PI 4))) into (exp (* 1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (exp (* (/ PI 4) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (/ PI 4) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/4 PI) -1) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (* (/ PI 4) (/ 1 (- f)))) into (exp (* -1/4 (/ PI f))) * [misc]taylor: Taking taylor expansion of (fma PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) in f * [misc]taylor: Rewrote expression to (+ (* PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2))) (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440))) * [misc]taylor: Taking taylor expansion of (* PI (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (fma (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) (* (/ 1 (- f)) 1/2)) in f * [misc]taylor: Rewrote expression to (+ (* (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f))))) (* (/ 1 (- f)) 1/2)) * [misc]taylor: Taking taylor expansion of (* (* PI PI) (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* PI PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* (* 1/192 (/ 1 (- f))) (* (/ 1 (- f)) (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) 1/2) 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 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (* (pow PI 5) 1/61440)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (* (pow PI 5) 1/61440) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* 1/192 -1) into -1/192 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1/192 1) into -1/192 * [misc]backup-simplify: Simplify (* (pow PI 2) -1/192) into (* -1/192 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 2)) 0) into (- (* 1/192 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI (- (* 1/192 (pow PI 2)))) into (* -1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/192 (pow PI 3)) 0) into (- (* 1/192 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (- (* 1/192 (pow PI 3)))) into (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) into (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking 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 (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (- -3) (log f)) (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))))) into (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) (* 1/4 PI)) into (* 4 (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) into (* 4 (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 -1/192)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (- (* 1/192 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ 0 (- (* 1/192 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 -1/192))) into 0 * [misc]backup-simplify: Simplify (* -1 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* PI -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2)))))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (- (* 1/2 PI)) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* 0 (/ 0 (- (* 1/192 (pow PI 3))))))) into (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 2) into (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/2 (+ (* 192 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 192 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 2) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into (- (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (- (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1/192)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 (- (* 1/192 (pow PI 2))))))) into 0 * [misc]backup-simplify: Simplify (* (pow PI 5) 1/61440) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (* 1/61440 (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/192 (pow PI 3)))) (+ (* (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) (/ (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) (- (* 1/192 (pow PI 3))))) (* 0 (/ (- (* 1/2 PI)) (- (* 1/192 (pow PI 3))))) (* (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5)))) (/ 0 (- (* 1/192 (pow PI 3))))))) into (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (+ (* 18432 (/ (exp (* -1/4 (/ PI f))) (pow PI 5))) (* 18432 (/ (exp (* 1/4 (/ PI f))) (pow PI 5))))) 1)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* -1/4 (/ PI f)))) PI)) (* 3/5 (/ (* (exp (* 5 (- (log -1) (log f)))) (exp (* 1/4 (/ PI f)))) PI))))) 1)) (pow (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3))) 1)))) 6) into (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/6 (+ (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) (pow PI 2))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 3/160 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (pow PI 2) (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) (* 1/4 PI)) (+ (* (* 4 (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) (pow PI 3)))) (* 3 (log f))) PI)) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* (- (+ (* 384 (/ (exp (* -1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 384 (/ (exp (* 1/4 (/ PI f))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) (/ 0 (* 1/4 PI))))) into (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* PI (exp (* -1/4 (/ PI f))))) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 1/4 (/ PI f))) PI)) (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* PI (exp (* -1/4 (/ PI (/ 1 (- f))))))) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 1/4 (/ PI (/ 1 (- f))))) PI)) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (pow (/ 1 (- f)) 3)) (+ (* (- (+ (* 384 (/ (exp (* -1/4 (/ PI (/ 1 (- f))))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))) (* 384 (/ (exp (* 1/4 (/ PI (/ 1 (- f))))) (* (pow PI 3) (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))) (pow (/ 1 (- f)) 2)) (* 4 (/ (+ (log (* -192 (/ (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))) (pow PI 3)))) (* 3 (log (/ 1 (- f))))) PI)))) into (- (+ (* 12 (/ (log (/ -1 f)) PI)) (* 4 (/ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI))) (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) PI)) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))) (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 2))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* PI (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2 2 1) * [misc]approximate: Taking taylor expansion of (* 1/192 f) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/192 f) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/192 f) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/192 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 1) (* 0 0)) into 1/192 * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/192 f) into (* 1/192 f) * [misc]approximate: Taking taylor expansion of (* 1/192 (/ 1 f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in 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 (* 1/192 1) into 1/192 * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/192 (/ 1 (/ 1 f))) into (* 1/192 f) * [misc]approximate: Taking taylor expansion of (* 1/192 (/ 1 (- f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 1/192 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* 1/192 -1) into -1/192 * [misc]backup-simplify: Simplify -1/192 into -1/192 * [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 (+ (* 1/192 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/192 (/ 1 (/ 1 (- f)))) into (* 1/192 f) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (+ (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (log (cbrt (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440)))))) (log (cbrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log (sqrt (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (sqrt (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (* (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f f) (* PI PI)) (* (* f PI) 1/192) (* (* f PI) 1/2)))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f f) (* PI PI)) (* (* f PI) 1/192) (* (* f PI) 1/2))))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (+ (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f f) (* PI PI)) (* (* f PI) 1/192) (* (* f PI) 1/2)))))) (log (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow f 5) (* 1/61440 (pow PI 5)) (fma (* (* f f) (* PI PI)) (* (* f PI) 1/192) (* (* f PI) 1/2))))))) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (fma (* f (* 1/192 f)) (* (* PI PI) f) (* f 1/2)) PI (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (/ (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI))))) (sqrt (fma (fma (* f (* 1/192 f)) (* (* PI PI) f) (* f 1/2)) PI (* (pow f 5) (* 1/61440 (pow PI 5)))))))) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log (* (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (cbrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (* (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* PI PI) (* 1/192 f)) (* f (* f PI)) (* 1/2 (* f PI)))))) (cbrt (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* PI PI) (* 1/192 f)) (* f (* f PI)) (* 1/2 (* f PI))))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log (/ (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (cbrt (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* PI PI) (* 1/192 f)) (* f (* f PI)) (* 1/2 (* f PI)))))) (cbrt (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* PI PI) (* 1/192 f)) (* f (* f PI)) (* 1/2 (* f PI))))))) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log (/ (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))) (sqrt (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))))) (log (/ (sqrt (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (fma (* (* (* PI f) (* PI f)) 1/192) (* PI f) (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* PI f) 1/2)))))) (log (cbrt (fma (* (* (* PI f) (* PI f)) 1/192) (* PI f) (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* PI f) 1/2)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (- (- (log (cbrt (fma (* (* (* PI f) (* PI f)) 1/192) (* PI f) (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* PI f) 1/2)))))) (log (cbrt (fma (* (* (* PI f) (* PI f)) 1/192) (* PI f) (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* PI f) 1/2)))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (- (log (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log 1) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (fma (* (* (* PI f) (* PI f)) 1/192) (* PI f) (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* PI f) 1/2)))))) (log (cbrt (fma (* (* (* PI f) (* PI f)) 1/192) (* PI f) (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* PI f) 1/2)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (- (- (log (cbrt (fma (* (* (* PI f) (* PI f)) 1/192) (* PI f) (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* PI f) 1/2)))))) (log (cbrt (fma (* (* (* PI f) (* PI f)) 1/192) (* PI f) (fma (pow f 5) (* 1/61440 (pow PI 5)) (* (* PI f) 1/2)))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (cbrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (- (log (sqrt (fma (* PI f) (fma 1/192 (* (* PI f) (* PI f)) 1/2) (* (* 1/61440 (pow PI 5)) (pow f 5)))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (sqrt (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log 1) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log 1) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (+ (log (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (log (/ 1 (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (- (log (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (log (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (- (log (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) (log (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (477 enodes) * [exit]simplify: Simplified to (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (f) (- (pow (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440)))) (/ PI 4)) 1))) * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ PI 4))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (- (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* (pow PI 5) 1/61440) (pow f 5) (fma (* (* 1/192 f) (* PI PI)) (* f (* f PI)) (* 1/2 (* f PI))))))) (log (/ PI 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (exp (- (log (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* (pow PI 5) 1/61440) (pow f 5) (fma (* (* 1/192 f) (* PI PI)) (* f (* f PI)) (* 1/2 (* f PI))))))) (log (/ PI 4)))) 1))) * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (* (* (/ PI 4) (/ PI 4)) (/ PI 4))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (pow (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (cbrt (pow (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 3)) 1))) * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f)))) (/ PI 4)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (- (/ (log (+ (pow (exp f) (/ PI 4)) (exp (* (- PI) (/ f 4))))) (/ PI 4)) (/ (log (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))) (/ PI 4))) 1))) * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ PI 4))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (/ (/ 1 (cbrt (/ PI 4))) (cbrt (/ PI 4))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (cbrt (/ PI 4)))) 1))) * [enter]simplify: Simplifying (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ PI 4)))) 1))) * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (/ 1 (sqrt (/ PI 4))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (sqrt (/ PI 4)))) 1))) * [enter]simplify: Simplifying (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ 1 (sqrt (/ PI 4))) (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (sqrt (/ PI 4)))) 1))) * * * * [misc]progress: [ 54 / 99 ] 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 1 1) to (λ (f) (- (pow (* 1 (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4))) 1))) * [enter]simplify: Simplifying (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 PI) PI) (* (* f PI) (* f f)) (* 1/2 (* f PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* 1 (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 PI) PI) (* (* f PI) (* f f)) (* 1/2 (* f PI)))))) (/ PI 4))) 1))) * * * * [misc]progress: [ 55 / 99 ] 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 1) to (λ (f) (- (pow (* (/ 1 PI) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ 1 4))) 1))) * [enter]simplify: Simplifying (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (* 4 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ 1 PI) (* 4 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) 1))) * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* 1/192 f) f) (* f (* PI PI)) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (cbrt (/ PI 4))) (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* 1/192 f) f) (* f (* PI PI)) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (cbrt (/ PI 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (* (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* 1/192 f) f) (* f (* PI PI)) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (cbrt (/ PI 4))) (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* 1/192 f) f) (* f (* PI PI)) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (cbrt (/ PI 4)))) (/ (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (/ PI 4)))) 1))) * [enter]simplify: Simplifying (/ (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (cbrt (/ PI 4)))) 1))) * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (sqrt (/ PI 4))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (* (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (sqrt (/ PI 4))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (sqrt (/ PI 4)))) 1))) * [enter]simplify: Simplifying (/ (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (* (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (sqrt (/ PI 4))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440))))))) (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (sqrt (/ PI 4)))) 1))) * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* PI (* 1/192 PI)) (* (* f PI) (* f f)) (* 1/2 (* f PI))))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* PI (* 1/192 PI)) (* (* f PI) (* f f)) (* 1/2 (* f PI)))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* PI (* 1/192 PI)) (* (* f PI) (* f f)) (* 1/2 (* f PI))))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* PI (* 1/192 PI)) (* (* f PI) (* f f)) (* 1/2 (* f PI)))))))) (/ (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4))) 1))) * [enter]simplify: Simplifying (/ (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* 1/192 f) (* PI PI)) (* f f) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) 1) (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* 1/192 f) (* PI PI)) (* f f) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (/ PI 4))) 1))) * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) PI) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* (pow PI 5) 1/61440) (pow f 5) (fma (* PI (* 1/192 PI)) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ PI (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* (pow PI 5) 1/61440) (pow f 5) (fma (* PI (* 1/192 PI)) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (/ (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* (pow PI 5) 1/61440) (pow f 5) (fma (* PI (* 1/192 PI)) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))) (/ PI (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma (* (pow PI 5) 1/61440) (pow f 5) (fma (* PI (* 1/192 PI)) (* (* f f) (* f PI)) (* 1/2 (* f PI))))))))) (/ (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ 1 4))) 1))) * [enter]simplify: Simplifying (/ (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* 4 (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) (* f f)) (* (* f PI) 1/192) (* 1/2 (* f PI)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) PI) (* 4 (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) (* f f)) (* (* f PI) 1/192) (* 1/2 (* f PI))))))))) 1))) * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (/ PI 4)))) 1))) * [enter]simplify: Simplifying (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (cbrt (/ PI 4)))) 1))) * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (sqrt (/ PI 4))) (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (sqrt (/ PI 4)))) 1))) * [enter]simplify: Simplifying (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (sqrt (/ PI 4))) (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (/ f 4) (- PI)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (sqrt (/ PI 4)))) 1))) * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4))) 1))) * [enter]simplify: Simplifying (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* 1/192 f) (* PI PI)) (* f f) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))) (fma PI (fma (* (* 1/192 f) (* PI PI)) (* f f) (* 1/2 f)) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (/ PI 4))) 1))) * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) PI) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) PI) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) PI) (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ 1 4))) 1))) * [enter]simplify: Simplifying (/ (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* 4 (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) (* f f)) (* (* f PI) 1/192) (* 1/2 (* f PI)))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) PI) (* 4 (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* PI PI) (* f f)) (* (* f PI) 1/192) (* 1/2 (* f PI))))))))) 1))) * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ PI 4))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (/ (/ 1 (cbrt (/ PI 4))) (cbrt (/ PI 4))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (cbrt (/ PI 4)))) 1))) * [enter]simplify: Simplifying (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (cbrt (/ PI 4))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ 1 (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (cbrt (/ PI 4)))) 1))) * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (* (/ 1 (sqrt (/ PI 4))) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (sqrt (/ PI 4)))) 1))) * [enter]simplify: Simplifying (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ 1 (sqrt (/ PI 4))) (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- f) (/ 4 PI)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))) (sqrt (/ PI 4)))) 1))) * * * * [misc]progress: [ 66 / 99 ] 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 1 1) to (λ (f) (- (pow (* 1 (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4))) 1))) * [enter]simplify: Simplifying (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 PI) PI) (* (* f PI) (* f f)) (* 1/2 (* f PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* 1 (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (pow PI 5) (* 1/61440 (pow f 5)) (fma (* (* 1/192 PI) PI) (* (* f PI) (* f f)) (* 1/2 (* f PI)))))) (/ PI 4))) 1))) * * * * [misc]progress: [ 67 / 99 ] 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 1) to (λ (f) (- (pow (* (/ 1 PI) (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ 1 4))) 1))) * [enter]simplify: Simplifying (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ 1 4)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (* 4 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (* (/ 1 PI) (* 4 (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (pow PI 5) (* 1/61440 (pow f 5)))))))) 1))) * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ PI 4)) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (/ (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (* (cbrt (/ PI 4)) (cbrt (/ PI 4)))) (cbrt (/ PI 4))) 1))) * * * * [misc]progress: [ 72 / 99 ] 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 1 2) to (λ (f) (- (pow (/ (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (sqrt (/ PI 4))) (sqrt (/ PI 4))) 1))) * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 4) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 4) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (/ (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) 1) (/ PI 4)) 1))) * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 4) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 4) * [misc]simplify: Simplified (2 1 1 2) to (λ (f) (- (pow (/ (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) PI) (/ 1 4)) 1))) * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (/ (* (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5)))))) (cbrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma 1/192 (* (* f PI) (* f PI)) 1/2) (* (* 1/61440 (pow f 5)) (pow PI 5))))))) (/ (/ PI 4) (cbrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) 1))) * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (/ (sqrt (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma (* f PI) (fma (* (* f PI) (* f PI)) 1/192 1/2) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (/ (/ PI 4) (sqrt (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440)))))))) 1))) * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 99 ] 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 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (- (fma 1/48 (* (* f PI) (* f PI)) (log (/ 4 PI))) (fma (* (pow f 4) 7/23040) (pow PI 4) (log f))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (/ (- (fma 1/48 (* (* f PI) (* f PI)) (log (/ 4 PI))) (fma (* (pow f 4) 7/23040) (pow PI 4) (log f))) (/ PI 4)) 1))) * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) (* 3 (log (/ 1 f)))) (+ (* 1/320 (/ (* (exp (* -1/4 (* PI f))) (* (pow PI 2) (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 1/320 (/ (* (pow PI 2) (* (pow f 2) (exp (* 1/4 (* PI f))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))))) (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))) * * [misc]simplify: iters left: 6 (45 enodes) * * [misc]simplify: iters left: 5 (127 enodes) * * [misc]simplify: iters left: 4 (399 enodes) * [exit]simplify: Simplified to (- (- (log (* 192 (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (- (* 3 (log PI)) (* (log f) (- 3)))) (fma 1/320 (fma (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (* f f) (* PI PI)) (/ (* (* (* f f) (* PI PI)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (* (/ (/ (/ 96 PI) PI) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (/ (pow (exp -1/4) (* PI f)) (* f f)) (/ (pow (exp 1/4) (* PI f)) (* f f)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (/ (- (- (log (* 192 (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (- (* 3 (log PI)) (* (log f) (- 3)))) (fma 1/320 (fma (/ (pow (exp -1/4) (* PI f)) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (* (* f f) (* PI PI)) (/ (* (* (* f f) (* PI PI)) (pow (exp 1/4) (* PI f))) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f))))) (* (/ (/ (/ 96 PI) PI) (+ (pow (exp -1/4) (* PI f)) (pow (exp 1/4) (* PI f)))) (+ (/ (pow (exp -1/4) (* PI f)) (* f f)) (/ (pow (exp 1/4) (* PI f)) (* f f)))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 3 (log (/ -1 f))) (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3))))) (+ (* 1/320 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (pow PI 2) (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))) (+ (* 96 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 2) (pow f 2))))) (+ (* 1/320 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) (pow PI 2))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))) (* 96 (/ (exp (* 1/4 (* PI f))) (* (pow PI 2) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))))))) * * [misc]simplify: iters left: 6 (53 enodes) * * [misc]simplify: iters left: 5 (149 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 3)))) (+ (fma 1/320 (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (/ (pow (exp -1/4) (* f PI)) (/ (pow f 3) (* PI PI))))) (/ (* (pow (exp 1/4) (* f PI)) 96) (* (* (* f f) (* PI PI)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (fma 1/320 (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (/ (pow (exp 1/4) (* f PI)) (/ (pow f 3) (* PI PI))))) (/ (* (pow (exp -1/4) (* f PI)) 96) (* (* (* f f) (* PI PI)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (f) (- (pow (/ (- (+ (+ (* (log (/ -1 f)) 3) (log -192)) (log (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (pow PI 3)))) (+ (fma 1/320 (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (/ (pow (exp -1/4) (* f PI)) (/ (pow f 3) (* PI PI))))) (/ (* (pow (exp 1/4) (* f PI)) 96) (* (* (* f f) (* PI PI)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))) (fma 1/320 (/ (pow (exp 5) (- (log -1) (log (/ -1 f)))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (/ (pow (exp 1/4) (* f PI)) (/ (pow f 3) (* PI PI))))) (/ (* (pow (exp -1/4) (* f PI)) 96) (* (* (* f f) (* PI PI)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 1)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* PI (* 1/192 PI)) (* (* f PI) (* f f)) (* 1/2 (* f PI)))))) (/ PI (- 4))) * [misc]simplify: Simplified (2) to (λ (f) (/ (log (/ (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* PI (* 1/192 PI)) (* (* f PI) (* f f)) (* 1/2 (* f PI)))))) (/ PI (- 4)))) * * * * [misc]progress: [ 94 / 99 ] 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 (55 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (+ (- (* (* PI f) (* f 1/12)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (+ (- (* (* PI f) (* f 1/12)) (* (* (* 7/5760 PI) (* PI PI)) (pow f 4))) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))) 1))) * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 12 (/ (log (/ 1 f)) PI)) (* 4 (/ (log (* 192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI))) (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 2))))) (+ (* 1/80 (/ (* (pow f 2) (* PI (exp (* 1/4 (* PI f))))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) (* 1/80 (/ (* (exp (* -1/4 (* PI f))) (* PI (pow f 2))) (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))))))) * * [misc]simplify: iters left: 6 (50 enodes) * * [misc]simplify: iters left: 5 (139 enodes) * * [misc]simplify: iters left: 4 (437 enodes) * [exit]simplify: Simplified to (- (fma 4 (/ (- (log (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (- (* 3 (log PI)) (log 192))) PI) (- (* (/ 12 PI) (- (log f))) (/ (/ (* 384 (pow (exp 1/4) (* f PI))) (* PI PI)) (* (* (* f PI) f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (fma (fma (/ (pow (exp -1/4) (* f PI)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (* f PI) f) (/ (* (* (* f PI) f) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) 1/80 (/ (/ (* (pow (exp -1/4) (* f PI)) 384) (* PI PI)) (* (* (* f PI) f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (- (fma 4 (/ (- (log (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (- (* 3 (log PI)) (log 192))) PI) (- (* (/ 12 PI) (- (log f))) (/ (/ (* 384 (pow (exp 1/4) (* f PI))) (* PI PI)) (* (* (* f PI) f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) (fma (fma (/ (pow (exp -1/4) (* f PI)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI)))) (* (* f PI) f) (/ (* (* (* f PI) f) (pow (exp 1/4) (* f PI))) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) 1/80 (/ (/ (* (pow (exp -1/4) (* f PI)) 384) (* PI PI)) (* (* (* f PI) f) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))) 1))) * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 12 (/ (log (/ -1 f)) PI)) (* 4 (/ (log (* -192 (/ (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow PI 3)))) PI))) (+ (* 384 (/ (exp (* 1/4 (* PI f))) (* (pow PI 3) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 2))))) (+ (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* -1/4 (* PI f))) PI)) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))) (+ (* 384 (/ (exp (* -1/4 (* PI f))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (* (pow PI 3) (pow f 2))))) (* 1/80 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* PI (exp (* 1/4 (* PI f))))) (* (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))) (pow f 3)))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (158 enodes) * [exit]simplify: Simplified to (- (fma (/ (log (* (/ -192 (* PI PI)) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) PI))) PI) 4 (* 12 (/ (log (/ -1 f)) PI))) (fma (/ (/ (pow (exp 1/4) (* f PI)) (pow PI 3)) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f))) 384 (fma 1/80 (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (/ (pow (exp -1/4) (* f PI)) (/ (pow f 3) PI)))) (fma (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (/ (pow (exp 1/4) (* f PI)) (/ (pow f 3) PI)))) 1/80 (/ (* (pow (exp -1/4) (* f PI)) 384) (* (* (* f f) (pow PI 3)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (- (fma (/ (log (* (/ -192 (* PI PI)) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) PI))) PI) 4 (* 12 (/ (log (/ -1 f)) PI))) (fma (/ (/ (pow (exp 1/4) (* f PI)) (pow PI 3)) (* (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (* f f))) 384 (fma 1/80 (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (/ (pow (exp -1/4) (* f PI)) (/ (pow f 3) PI)))) (fma (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))) (/ (pow (exp 1/4) (* f PI)) (/ (pow f 3) PI)))) 1/80 (/ (* (pow (exp -1/4) (* f PI)) 384) (* (* (* f f) (pow PI 3)) (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))))))) 1))) * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/192 f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/192 f) * [misc]simplify: Simplified (2 1 1 1 1 2 2 2 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/192 f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/192 f) * [misc]simplify: Simplified (2 1 1 1 1 2 2 2 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 1))) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/192 f) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 1/192 f) * [misc]simplify: Simplified (2 1 1 1 1 2 2 2 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (* (- f) (/ PI 4))) (exp (* (/ PI 4) f))) (fma PI (fma (* PI PI) (* (* 1/192 f) (* f f)) (* f 1/2)) (* (pow f 5) (* (pow PI 5) 1/61440))))) (/ PI 4)) 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 1 2 2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 1 2 2 2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 4 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 4 f) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 1) 1)))) into (* -1/4 PI) * [misc]backup-simplify: Simplify (+ (* 1/4 PI) (* -1/4 PI)) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (log (sqrt 2)) into (log (sqrt 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt 2) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* 1/32 (pow PI 2)) (* 1/32 (pow PI 2))) into (* 1/16 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 2) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) into (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 3) 6)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 3) 6)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/384 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/384 (pow PI 3)) (* -1/384 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt 2) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/4 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 4) 24)) (* (/ (pow (* 1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* 1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* -1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1/4 PI) 4) 24)) (* (/ (pow (* -1/4 PI) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (* -1/4 PI) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/6144 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1/6144 (pow PI 4)) (* 1/6144 (pow PI 4))) into (* 1/3072 (pow PI 4)) * [misc]backup-simplify: Simplify (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt 2) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 1)) (pow (sqrt 2) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/32 (/ (pow PI 2) (sqrt 2)))) 2)) (pow (sqrt 2) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt 2) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2)))) 1)) (pow (sqrt 2) 1)))) 24) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/32 (/ (pow PI 2) (pow (sqrt 2) 2))) (pow f 2)) (log (sqrt 2)))) into (- (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (log (sqrt 2)))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) (/ 1 f))) (exp (/ (- PI) (/ 4 (/ 1 f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) (/ 1 f))) (exp (/ (- PI) (/ 4 (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 4 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) into (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) (/ 1 f))) (exp (/ (- PI) (/ 4 (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 4 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) 4) into (* -1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 f)))) into (exp (* -1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) into (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 1/4 (/ PI (/ 1 f)))) (exp (* -1/4 (/ PI (/ 1 f))))))) into (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * [misc]approximate: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 4 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) into (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) * [misc]taylor: Taking taylor expansion of (log (sqrt (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (/ (- PI) (/ 4 (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 4 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 4 -1) into -4 * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (/ (- PI) -4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (exp (/ (- PI) (/ 4 (/ 1 (- f))))) into (exp (* 1/4 (/ PI f))) * [misc]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) into (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) into (log (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (sqrt (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f)))))))) into (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 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 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/4 PI) 1) 1)))) into (* 1/4 PI) * [misc]backup-simplify: Simplify (- (* 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 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* 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 (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow f 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow f 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow f 5) in f * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt 2) (* 1/2 PI)) into (* 2 (/ (sqrt 2) PI)) * [misc]backup-simplify: Simplify (log (* 2 (/ (sqrt 2) PI))) into (log (* 2 (/ (sqrt 2) PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* 2 (/ (sqrt 2) PI)))) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (- (log (* 2 (/ (sqrt 2) PI))) (log f)) into (- (log (* 2 (/ (sqrt 2) PI))) (log f)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 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 (/ (- (* 1/16 (pow PI 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (* 1/32 (/ (pow PI 2) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/192 (pow PI 3)) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/192 (pow PI 3)) 0) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/192 (pow PI 3))) into (* 1/192 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/32 (/ (pow PI 2) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI)))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 2) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) into (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) * [misc]backup-simplify: Simplify (- (/ 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 (+ (* 2 (* 0 (* 1/32 (/ (pow PI 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ 0 (* 1/2 PI))) (* 0 (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) (/ 0 (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI)))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 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 (/ (- (* 1/3072 (pow PI 4)) (pow (* 1/32 (/ (pow PI 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log PI)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (* 1 (pow PI 5)) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/61440 (pow PI 5)) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (+ 0 (* 1/61440 (pow PI 5))) into (* 1/61440 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- (* 1/3072 (pow PI 4)) (* 1/1024 (/ (pow PI 4) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 PI)) (+ (* (* 2 (/ (sqrt 2) PI)) (/ (* 1/61440 (pow PI 5)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))) (* (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI))) (/ (* 1/192 (pow PI 3)) (* 1/2 PI))) (* 0 (/ 0 (* 1/2 PI))))) into (- (* 7/46080 (* (sqrt 2) (pow PI 3))) (+ (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))) (* 1/3072 (/ (pow PI 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (/ (sqrt 2) PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI)))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/16 (/ PI (sqrt 2))) (* 1/48 (* (sqrt 2) PI)))) 2)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (/ (sqrt 2) PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 7/46080 (* (sqrt 2) (pow PI 3))) (+ (* 1/1024 (/ (pow PI 3) (pow (sqrt 2) 3))) (* 1/3072 (/ (pow PI 3) (sqrt 2)))))) 1)) (pow (* 2 (/ (sqrt 2) PI)) 1)))) 24) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) into (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (- (+ (* 1/256 (/ (pow PI 4) (pow (sqrt 2) 2))) (* 1/1920 (pow PI 4))) (* 3/128 (/ (pow PI 4) (pow (sqrt 2) 4))))) (pow f 4)) (+ (* (* 1/2 (- (* 1/16 (/ (pow PI 2) (pow (sqrt 2) 2))) (* 1/48 (pow PI 2)))) (pow f 2)) (- (log (* 2 (/ (sqrt 2) PI))) (log f)))) into (- (+ (* 1/46080 (* (pow PI 4) (pow f 4))) (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2)))))) (+ (log f) (+ (* 1/96 (* (pow PI 2) (pow f 2))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (* 1/2 PI)) into (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) into (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 f))) (exp (- (* (/ PI 4) (/ 1 f)))))) (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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]backup-simplify: Simplify (+ (exp (* 1/4 (/ PI f))) (exp (- (* 1/4 (/ PI f))))) into (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) into (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 f) PI)) (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log f))) into (* -3 (log f)) * [misc]backup-simplify: Simplify (exp (* -3 (log f))) into (pow f -3) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 f) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log f))) into (* -5 (log f)) * [misc]backup-simplify: Simplify (exp (* -5 (log f))) into (pow f -5) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))) (* 1/2 PI)) into (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) into (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) into (+ (log f) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (log f) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) into (+ (log f) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (* (pow f -3) (pow PI 3)) into (/ (pow PI 3) (pow f 3)) * [misc]backup-simplify: Simplify (* 1/192 (/ (pow PI 3) (pow f 3))) into (* 1/192 (/ (pow PI 3) (pow f 3))) * [misc]backup-simplify: Simplify (* (pow f -5) (pow PI 5)) into (/ (pow PI 5) (pow f 5)) * [misc]backup-simplify: Simplify (* 1/61440 (/ (pow PI 5) (pow f 5))) into (* 1/61440 (/ (pow PI 5) (pow f 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5))))) into (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (- (+ (* 1/48 (* (/ PI (pow f 3)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/15360 (* (/ (pow PI 3) (pow f 5)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (/ PI (pow f 3)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/15360 (* (/ (pow PI 3) (pow f 5)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))) 1)) (pow (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) 1)))) 1) into (* -1 (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (pow PI 2) (pow f 3))))) * [misc]backup-simplify: Simplify (* -1 (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (pow PI 2) (pow f 3))))) into (* -1 (+ (* 1/30720 (/ (pow PI 4) (pow f 5))) (* 1/96 (/ (pow PI 2) (pow f 3))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -3 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -3) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (/ (pow PI 3) (pow f 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) 0) into (- (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -5 (log f))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow f -5) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (/ (pow PI 5) (pow f 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 1/2 PI)) (+ (* (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (/ 0 (* 1/2 PI))) (* (- (+ (* 1/48 (* (/ PI (pow f 3)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/15360 (* (/ (pow PI 3) (pow f 5)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) (/ (+ (* 1/192 (/ (pow PI 3) (pow f 3))) (* 1/61440 (/ (pow PI 5) (pow f 5)))) (* 1/2 PI))))) into (+ (* 1/471859200 (* (/ (pow PI 7) (pow f 10)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (* (/ (pow PI 5) (pow f 8)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/4608 (* (/ (pow PI 3) (pow f 6)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/48 (* (/ PI (pow f 3)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/15360 (* (/ (pow PI 3) (pow f 5)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))) 2)) (pow (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (+ (* 1/471859200 (* (/ (pow PI 7) (pow f 10)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (+ (* 1/737280 (* (/ (pow PI 5) (pow f 8)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) (* 1/4608 (* (/ (pow PI 3) (pow f 6)) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f)))))))))) 1)) (pow (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI f)))) (exp (* 1/4 (/ PI f))))))) 1)))) 2) into (* 1/2 (+ (* 1/943718400 (/ (pow PI 8) (pow f 10))) (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (* 1/9216 (/ (pow PI 4) (pow f 6)))))) * [misc]backup-simplify: Simplify (* 1/2 (+ (* 1/943718400 (/ (pow PI 8) (pow f 10))) (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (* 1/9216 (/ (pow PI 4) (pow f 6)))))) into (* 1/2 (+ (* 1/943718400 (/ (pow PI 8) (pow f 10))) (+ (* 1/1474560 (/ (pow PI 6) (pow f 8))) (* 1/9216 (/ (pow PI 4) (pow f 6)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (* 1/943718400 (/ (pow PI 8) (pow (/ 1 f) 10))) (+ (* 1/1474560 (/ (pow PI 6) (pow (/ 1 f) 8))) (* 1/9216 (/ (pow PI 4) (pow (/ 1 f) 6)))))) (pow (/ 1 f) 2)) (+ (* (* -1 (+ (* 1/30720 (/ (pow PI 4) (pow (/ 1 f) 5))) (* 1/96 (/ (pow PI 2) (pow (/ 1 f) 3))))) (/ 1 f)) (+ (log (/ 1 f)) (log (* 2 (* (/ 1 PI) (sqrt (+ (exp (- (* 1/4 (/ PI (/ 1 f))))) (exp (* 1/4 (/ PI (/ 1 f)))))))))))) into (- (+ (* 1/46080 (* (pow PI 4) (pow f 4))) (+ (* 1/2949120 (* (pow PI 6) (pow f 6))) (+ (log (* 2 (* (sqrt (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))) (/ 1 PI)))) (+ (log (/ 1 f)) (* 1/1887436800 (* (pow PI 8) (pow f 8))))))) (* 1/96 (* (pow PI 2) (pow f 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) into (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (- (* 1/2 PI))) into (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) into (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) * [misc]taylor: Taking taylor expansion of (log (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))))) in f * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (exp (* (/ PI 4) (/ 1 (- f)))) (exp (- (* (/ PI 4) (/ 1 (- f))))))) (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (+ (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]backup-simplify: Simplify (+ (exp (* -1/4 (/ PI f))) (exp (* 1/4 (/ PI f)))) into (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))) * [misc]backup-simplify: Simplify (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) into (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (- f)) PI)) (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))))) in f * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/2 in f * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 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 (+ (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5)))) in f * [misc]taylor: Taking taylor expansion of (* 1/192 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/192 in f * [misc]backup-simplify: Simplify 1/192 into 1/192 * [misc]taylor: Taking taylor expansion of (* (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 (exp (* 3 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 3 (- (log -1) (log f))) into (* 3 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 3 (- (log -1) (log f)))) into (exp (* 3 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in f * [misc]taylor: Taking taylor expansion of 3 in f * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (* 1/61440 (* (pow (/ 1 (- f)) 5) (pow PI 5))) in f * [misc]taylor: Taking taylor expansion of 1/61440 in f * [misc]backup-simplify: Simplify 1/61440 into 1/61440 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 5) (pow PI 5)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (* 5 (- (log -1) (log f))) into (* 5 (- (log -1) (log f))) * [misc]backup-simplify: Simplify (exp (* 5 (- (log -1) (log f)))) into (exp (* 5 (- (log -1) (log f)))) * [misc]taylor: Taking taylor expansion of (pow PI 5) in f * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in f * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in f * [misc]taylor: Taking taylor expansion of 5 in f * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))) (- (* 1/2 PI))) into (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) * [misc]backup-simplify: Simplify (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) into (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log f)) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (+ (log f) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (+ (log f) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) into (+ (log f) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) into (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) into (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) into (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) into (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))) * [misc]backup-simplify: Simplify (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5))))) into (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/15360 (* (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/48 (* (* (exp (* 3 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/48 (* (* (exp (* 3 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))) 1)) (pow (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) 1)))) 1) into (+ (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2))) (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)))) * [misc]backup-simplify: Simplify (+ (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2))) (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)))) into (+ (* 1/96 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 2))) (* 1/30720 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 4)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 3 (- (log -1) (log f)))) 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/192 0) (* 0 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log -1)) into (- (log -1) (log f)) * [misc]backup-simplify: Simplify (+ (* 5 0) (* 0 (- (log -1) (log f)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 5 (- (log -1) (log f)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 5 (- (log -1) (log f)))) 0) (* 0 (pow PI 5))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/61440 0) (* 0 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* 1/2 PI))) (+ (* (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (/ 0 (- (* 1/2 PI)))) (* (- (+ (* 1/15360 (* (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/48 (* (* (exp (* 3 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))) (/ (+ (* 1/192 (* (exp (* 3 (- (log -1) (log f)))) (pow PI 3))) (* 1/61440 (* (exp (* 5 (- (log -1) (log f)))) (pow PI 5)))) (- (* 1/2 PI)))))) into (- (+ (* 1/471859200 (* (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 7)) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/4608 (* (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 3)) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (pow PI 5))) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/1474560 (* (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f)))))) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/15360 (* (* (exp (* 5 (- (log -1) (log f)))) (pow PI 3)) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/48 (* (* (exp (* 3 (- (log -1) (log f)))) PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))) 2)) (pow (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/471859200 (* (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 7)) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/4608 (* (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 3)) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (+ (* 1/1474560 (* (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (pow PI 5))) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) (* 1/1474560 (* (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 5) (exp (* 5 (- (log -1) (log f)))))) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f)))))))))))) 1)) (pow (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI f))) (exp (* -1/4 (/ PI f))))))) 1)))) 2) into (* 1/2 (+ (* 1/943718400 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8))) (+ (* 1/9216 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4))) (+ (* 1/2949120 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (pow PI 6)))) (* 1/2949120 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))))))) * [misc]backup-simplify: Simplify (* 1/2 (+ (* 1/943718400 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8))) (+ (* 1/9216 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4))) (+ (* 1/2949120 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (pow PI 6)))) (* 1/2949120 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))))))) into (* 1/2 (+ (* 1/943718400 (* (pow (exp (* 5 (- (log -1) (log f)))) 2) (pow PI 8))) (+ (* 1/9216 (* (pow (exp (* 3 (- (log -1) (log f)))) 2) (pow PI 4))) (+ (* 1/2949120 (* (exp (* 5 (- (log -1) (log f)))) (* (exp (* 3 (- (log -1) (log f)))) (pow PI 6)))) (* 1/2949120 (* (exp (* 3 (- (log -1) (log f)))) (* (pow PI 6) (exp (* 5 (- (log -1) (log f))))))))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (* 1/943718400 (* (pow (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) 2) (pow PI 8))) (+ (* 1/9216 (* (pow (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) 2) (pow PI 4))) (+ (* 1/2949120 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (pow PI 6)))) (* 1/2949120 (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (* (pow PI 6) (exp (* 5 (- (log -1) (log (/ 1 (- f))))))))))))) (pow (/ 1 (- f)) 2)) (+ (* (+ (* 1/96 (* (exp (* 3 (- (log -1) (log (/ 1 (- f)))))) (pow PI 2))) (* 1/30720 (* (exp (* 5 (- (log -1) (log (/ 1 (- f)))))) (pow PI 4)))) (/ 1 (- f))) (+ (log (/ 1 (- f))) (log (* -2 (* (/ 1 PI) (sqrt (+ (exp (* 1/4 (/ PI (/ 1 (- f))))) (exp (* -1/4 (/ PI (/ 1 (- f))))))))))))) into (- (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (pow PI 8)) (pow f 2))) (+ (log (* -2 (* (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) (/ 1 PI)))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6))) (pow f 2))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (pow PI 6))) (pow f 2))) (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (pow PI 4)) (pow f 2))) (log (/ -1 f))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 4)) f)) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (pow PI 2)) f)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 1 2 2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 1 2 2 2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (+ (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (log (cbrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f)))))))) (log (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 4 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* (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 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (log (fabs (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (fabs (cbrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (log (sqrt (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 5 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (log (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 6 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (sqrt 1)) (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 7 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (sqrt 1)) (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 8 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log (sqrt (sqrt (+ (pow (exp f) (/ PI 4)) (exp (/ (- PI) (/ 4 f))))))) (log (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 9 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (log 1) (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 10 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (pow (exp (* (/ PI 4) f)) 3) (pow (exp (/ (- PI) (/ 4 f))) 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (log (sqrt (fma (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (exp (* (- f) (/ PI 4))) (pow (exp (/ PI 4)) (+ f (+ f f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (fma (pow (exp (- f)) (+ (/ PI 4) (/ PI 4))) (exp (* (- f) (/ PI 4))) (pow (exp (/ PI 4)) (+ f (+ f f)))))) (log (sqrt (+ (* (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 (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 11 / 91 ] 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 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (log (sqrt (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (+ (- f) (- f)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (- (exp (* (/ PI 4) (+ f f))) (pow (exp (/ PI 4)) (+ (- f) (- f)))))) (log (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 12 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (pow (exp f) (/ PI 4)) (exp (* (- f) (/ PI 4)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 16 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))) (cbrt (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (cbrt (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (log (cbrt (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI))))))) (log (cbrt (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ f 4) (- PI))))) (fma (pow PI 5) (* (pow f 5) 1/61440) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* 1/2 (* f PI)))))))) (log (cbrt (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 25 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 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 (30 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* f (* PI 1/2))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (sqrt (/ (sqrt (+ (exp (/ PI (/ 4 f))) (exp (/ (- PI) (/ 4 f))))) (fma 1/61440 (* (pow f 5) (pow PI 5)) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* f (* PI 1/2))))))) (log (sqrt (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 26 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (+ (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (+ (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5)))))) (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ f 4) (- PI)))))) (cbrt (fma PI (fma (* (* f f) (* 1/192 f)) (* PI PI) (* 1/2 f)) (* (* (pow f 5) 1/61440) (pow PI 5))))))) (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 27 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (sqrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (log (* (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (* (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))) (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))))) (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 28 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (* (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))) (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))))))) (log (/ (cbrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 29 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (33 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (* (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (fabs (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (* (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))) (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5)))))))) (log (/ (sqrt (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 30 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (sqrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * * [misc]simplify: iters left: 2 (480 enodes) * [exit]simplify: Simplified to (log (/ (fabs (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (fabs (cbrt (+ (exp (* (/ f 4) PI)) (exp (* (/ f 4) (- PI)))))) (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* 1/2 f)) (* (pow f 5) (* 1/61440 (pow PI 5))))))) (log (/ (sqrt (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 31 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * [exit]simplify: Simplified to (log (fabs (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (fabs (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))))) (log (/ (sqrt (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 32 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (* (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (* (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 33 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 34 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) * * [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 (79 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (sqrt (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 35 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (* (cbrt (fma (* (* (* f PI) (* f 1/192)) (* f PI)) PI (fma (* 1/61440 (pow PI 5)) (pow f 5) (* 1/2 (* f PI))))) (cbrt (fma (* (* (* f PI) (* f 1/192)) (* f PI)) PI (fma (* 1/61440 (pow PI 5)) (pow f 5) (* 1/2 (* f PI)))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt 1) (* (cbrt (fma (* (* (* f PI) (* f 1/192)) (* f PI)) PI (fma (* 1/61440 (pow PI 5)) (pow f 5) (* 1/2 (* f PI))))) (cbrt (fma (* (* (* f PI) (* f 1/192)) (* f PI)) PI (fma (* 1/61440 (pow PI 5)) (pow f 5) (* 1/2 (* f PI)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 36 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (sqrt (+ (* 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 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma PI (fma (* f 1/192) (* (* f PI) (* f PI)) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt 1) (sqrt (fma PI (fma (* f 1/192) (* (* f PI) (* f PI)) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 37 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (sqrt 1)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 38 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (* (cbrt (fma (* (* (* f PI) (* f 1/192)) (* f PI)) PI (fma (* 1/61440 (pow PI 5)) (pow f 5) (* 1/2 (* f PI))))) (cbrt (fma (* (* (* f PI) (* f 1/192)) (* f PI)) PI (fma (* 1/61440 (pow PI 5)) (pow f 5) (* 1/2 (* f PI)))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt 1) (* (cbrt (fma (* (* (* f PI) (* f 1/192)) (* f PI)) PI (fma (* 1/61440 (pow PI 5)) (pow f 5) (* 1/2 (* f PI))))) (cbrt (fma (* (* (* f PI) (* f 1/192)) (* f PI)) PI (fma (* 1/61440 (pow PI 5)) (pow f 5) (* 1/2 (* f PI)))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 39 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) (sqrt (+ (* 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 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * [exit]simplify: Simplified to (log (/ (sqrt 1) (sqrt (fma PI (fma (* f 1/192) (* (* f PI) (* f PI)) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt 1) (sqrt (fma PI (fma (* f 1/192) (* (* f PI) (* f PI)) (* 1/2 f)) (* (* (pow f 5) (pow PI 5)) 1/61440))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 40 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (log (sqrt 1)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (sqrt 1)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 41 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (* (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))) (* (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5)))) (cbrt (fma PI (fma (* (* 1/192 f) (* f f)) (* PI PI) (* f 1/2)) (* (* (pow PI 5) 1/61440) (pow f 5))))))) (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 42 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 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 (31 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * * [misc]simplify: iters left: 2 (484 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* (pow PI 5) (* (pow f 5) 1/61440)))))) (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 43 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) * * [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 (79 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (log (sqrt (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (sqrt (sqrt (+ (exp (/ (* f PI) 4)) (exp (* (/ PI 4) (- f))))))) (log (/ (sqrt (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 44 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (* (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))) (cbrt (+ (* 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 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (- (- (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (- (- (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (cbrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 45 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sqrt (+ (* 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 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (- (log (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (- (log (sqrt (fma PI (fma (* 1/192 f) (* (* f PI) (* f PI)) (* f 1/2)) (* 1/61440 (* (pow PI 5) (pow f 5))))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 46 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log 1) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 47 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log 1) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 48 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (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 (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 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)))))) (log (/ 1 (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))))))) * * * * [misc]progress: [ 49 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (pow (* 1/2 (* f PI)) 3) (pow (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) 3)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (fma (* (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* 1/192 (* f PI)) (* (* f PI) (* f PI)))) (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* 1/192 (* f PI)) (* (* f PI) (* f PI))))) (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* 1/192 (* f PI)) (* (* f PI) (* f PI)))) (pow (* PI (* 1/2 f)) 3)))) * [misc]simplify: Simplified (2 1 2 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 (* (- f) (/ PI 4))))) (fma (* (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* 1/192 (* f PI)) (* (* f PI) (* f PI)))) (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* 1/192 (* f PI)) (* (* f PI) (* f PI))))) (fma (* (pow f 5) 1/61440) (pow PI 5) (* (* 1/192 (* f PI)) (* (* f PI) (* f PI)))) (pow (* PI (* 1/2 f)) 3)))) (log (+ (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (- (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))) (* (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))))) * * * * [misc]progress: [ 50 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (* (* 1/2 (* f PI)) (* 1/2 (* f PI))) (* (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5)))))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4))))) (- (* (* f (* PI 1/2)) (* f (* PI 1/2))) (* (fma (* (pow PI 5) (pow f 5)) 1/61440 (* (* (* f f) 1/192) (* (* PI PI) (* f PI)))) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* (* (* f f) 1/192) (* (* PI PI) (* f PI)))))))) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (- f) (/ PI 4))))) (- (* (* f (* PI 1/2)) (* f (* PI 1/2))) (* (fma (* (pow PI 5) (pow f 5)) 1/61440 (* (* (* f f) 1/192) (* (* PI PI) (* f PI)))) (fma (* (pow PI 5) (pow f 5)) 1/61440 (* (* (* f f) 1/192) (* (* PI PI) (* f PI)))))))) (log (- (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 51 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (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 (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 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)))))) (log (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 52 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (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 (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) * [misc]simplify: Simplified (2 1 2 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)))))) (log (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 55 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 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 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (fma (* 1/61440 (pow PI 5)) (pow f 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* PI 1/2) f)))) * [misc]simplify: Simplified (2 1 2 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 (* (- f) (/ PI 4))))) (fma (* 1/61440 (pow PI 5)) (pow f 5) (fma (* (* f PI) 1/192) (* (* f PI) (* f PI)) (* (* PI 1/2) f))))))))) * * * * [misc]progress: [ 56 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 91 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (log (sqrt 2)))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (322 enodes) * [exit]simplify: Simplified to (+ (fma (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)) (- 1/1024) (* (/ 1/6144 2) (* (pow f 4) (pow PI 4)))) (fma (/ 1/32 2) (* (* f PI) (* f PI)) (log (sqrt 2)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (+ (fma (/ (* (pow f 4) (pow PI 4)) (pow (sqrt 2) 4)) (- 1/1024) (* (/ 1/6144 2) (* (pow f 4) (pow PI 4)))) (fma (/ 1/32 2) (* (* f PI) (* f PI)) (log (sqrt 2)))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 85 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (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 (sqrt (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 86 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (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 (sqrt (+ (pow (exp -1/4) (* f PI)) (pow (exp 1/4) (* f PI))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 1/2 (* f PI)) (+ (* 1/192 (* (pow f 3) (pow PI 3))) (* 1/61440 (* (pow f 5) (pow PI 5))))))))))) * * * * [misc]progress: [ 87 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/46080 (* (pow PI 4) (pow f 4))) (+ (log (* 2 (/ (sqrt 2) PI))) (+ (* 1/6144 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 2))) (* 1/32 (/ (* (pow f 2) (pow PI 2)) (pow (sqrt 2) 2)))))) (+ (log f) (+ (* 1/96 (* (pow PI 2) (pow f 2))) (* 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)))))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (- (+ (fma 1/46080 (* (pow PI 4) (pow f 4)) (log (* (/ 2 PI) (sqrt 2)))) (fma 1/32 (/ (* f f) (/ 2 (* PI PI))) (* (/ 1/6144 2) (* (pow PI 4) (pow f 4))))) (fma 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)) (fma (* PI PI) (* f (* f 1/96)) (log f)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (+ (fma 1/46080 (* (pow PI 4) (pow f 4)) (log (* (/ 2 PI) (sqrt 2)))) (fma 1/32 (/ (* f f) (/ 2 (* PI PI))) (* (/ 1/6144 2) (* (pow PI 4) (pow f 4))))) (fma 1/1024 (/ (* (pow PI 4) (pow f 4)) (pow (sqrt 2) 4)) (fma (* PI PI) (* f (* f 1/96)) (log f)))))))) * * * * [misc]progress: [ 88 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/46080 (* (pow PI 4) (pow f 4))) (+ (* 1/2949120 (* (pow PI 6) (pow f 6))) (+ (log (* 2 (* (sqrt (+ (exp (* 1/4 (* PI f))) (exp (- (* 1/4 (* PI f)))))) (/ 1 PI)))) (+ (log (/ 1 f)) (* 1/1887436800 (* (pow PI 8) (pow f 8))))))) (* 1/96 (* (pow PI 2) (pow f 2)))) * * [misc]simplify: iters left: 6 (46 enodes) * * [misc]simplify: iters left: 5 (107 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ PI 2))) (+ (fma 1/2949120 (* (pow PI 6) (pow f 6)) (fma 1/1887436800 (* (pow PI 8) (pow f 8)) (- (log f)))) (- (* (* (pow PI 4) 1/46080) (pow f 4)) (* (* f f) (* PI (* 1/96 PI)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (+ (log (/ (sqrt (+ (pow (exp 1/4) (* PI f)) (exp (* (* PI f) (- 1/4))))) (/ PI 2))) (+ (fma 1/2949120 (* (pow PI 6) (pow f 6)) (fma 1/1887436800 (* (pow PI 8) (pow f 8)) (- (log f)))) (- (* (* (pow PI 4) 1/46080) (pow f 4)) (* (* f f) (* PI (* 1/96 PI)))))))))) * * * * [misc]progress: [ 89 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/1887436800 (/ (* (pow (exp (* 5 (- (log -1) (log (/ -1 f))))) 2) (pow PI 8)) (pow f 2))) (+ (log (* -2 (* (sqrt (+ (exp (* -1/4 (* PI f))) (exp (* 1/4 (* PI f))))) (/ 1 PI)))) (+ (* 1/5898240 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 6))) (pow f 2))) (+ (* 1/5898240 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (pow PI 6))) (pow f 2))) (+ (* 1/18432 (/ (* (pow (exp (* 3 (- (log -1) (log (/ -1 f))))) 2) (pow PI 4)) (pow f 2))) (log (/ -1 f))))))) (+ (* 1/30720 (/ (* (exp (* 5 (- (log -1) (log (/ -1 f))))) (pow PI 4)) f)) (* 1/96 (/ (* (exp (* 3 (- (log -1) (log (/ -1 f))))) (pow PI 2)) f)))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (- (+ (+ (fma (/ (* (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))) (/ (* f f) (pow PI 8))) 1/1887436800 (log (* (* -2 (/ 1 PI)) (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (+ (/ (* (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) 1/5898240) (/ (/ (* f f) (pow PI 6)) (pow (exp 3) (+ (- (log -1) (log -1)) (log f))))) (/ (* (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) 1/5898240) (/ (/ (* f f) (pow PI 6)) (pow (exp 3) (+ (- (log -1) (log -1)) (log f))))))) (fma 1/18432 (/ (* (pow (exp 3) (+ (- (log -1) (log -1)) (log f))) (pow (exp 3) (+ (- (log -1) (log -1)) (log f)))) (/ (* f f) (pow PI 4))) (log (/ -1 f)))) (fma 1/30720 (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ f (pow PI 4))) (/ (* (* 1/96 (* PI PI)) (pow (exp 3) (+ (- (log -1) (log -1)) (log f)))) f))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (- (+ (+ (fma (/ (* (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (pow (exp 5) (+ (- (log -1) (log -1)) (log f)))) (/ (* f f) (pow PI 8))) 1/1887436800 (log (* (* -2 (/ 1 PI)) (sqrt (+ (pow (exp 1/4) (* f PI)) (pow (exp -1/4) (* f PI))))))) (+ (/ (* (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) 1/5898240) (/ (/ (* f f) (pow PI 6)) (pow (exp 3) (+ (- (log -1) (log -1)) (log f))))) (/ (* (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) 1/5898240) (/ (/ (* f f) (pow PI 6)) (pow (exp 3) (+ (- (log -1) (log -1)) (log f))))))) (fma 1/18432 (/ (* (pow (exp 3) (+ (- (log -1) (log -1)) (log f))) (pow (exp 3) (+ (- (log -1) (log -1)) (log f)))) (/ (* f f) (pow PI 4))) (log (/ -1 f)))) (fma 1/30720 (/ (pow (exp 5) (+ (- (log -1) (log -1)) (log f))) (/ f (pow PI 4))) (/ (* (* 1/96 (* PI PI)) (pow (exp 3) (+ (- (log -1) (log -1)) (log f)))) f))))))) * * * * [misc]progress: [ 90 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 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 (41 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (fma (* (pow PI 5) 1/61440) (pow f 5) (* 1/2 (* f PI)))))) (* (- (/ 4 PI)) (log (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))))) * [misc]simplify: Simplified (2) to (λ (f) (fma (- (/ 4 PI)) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (fma (* (pow PI 5) 1/61440) (pow f 5) (* 1/2 (* f PI)))))) (* (- (/ 4 PI)) (log (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))))) * * * * [misc]progress: [ 91 / 91 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- PI) (/ 4 f)))))) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (* 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 (41 enodes) * * [misc]simplify: iters left: 5 (101 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (fma (- (/ 4 PI)) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (fma (* (pow PI 5) 1/61440) (pow f 5) (* 1/2 (* f PI)))))) (* (- (/ 4 PI)) (log (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4))))))) * [misc]simplify: Simplified (2) to (λ (f) (fma (- (/ 4 PI)) (log (/ (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))) (+ (* (* 1/192 (* PI PI)) (* (* f f) (* f PI))) (fma (* (pow PI 5) 1/61440) (pow f 5) (* 1/2 (* f PI)))))) (* (- (/ 4 PI)) (log (sqrt (+ (exp (* (/ PI 4) (- f))) (pow (exp f) (/ PI 4)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (f (* (/ 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]regime: Found split indices: #