* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [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 185 additional inputs, on iter 1 have 71 / 256 * * * * [misc]points: Computing exacts on every 11 of 185 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 5 of 185 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 185 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 185 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 142 additional inputs, on iter 2 have 114 / 256 * * * * [misc]points: Computing exacts on every 8 of 142 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 142 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 142 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 142 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 109 additional inputs, on iter 3 have 147 / 256 * * * * [misc]points: Computing exacts on every 6 of 109 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 109 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 109 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 81 additional inputs, on iter 4 have 175 / 256 * * * * [misc]points: Computing exacts on every 5 of 81 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 81 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 81 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 47 additional inputs, on iter 6 have 209 / 256 * * * * [misc]points: Computing exacts on every 2 of 47 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 47 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 36 additional inputs, on iter 7 have 220 / 256 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 36 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 31 additional inputs, on iter 8 have 225 / 256 * * * * [misc]points: Computing exacts for 31 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 24 additional inputs, on iter 9 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 16 additional inputs, on iter 10 have 240 / 256 * * * * [misc]points: Computing exacts for 16 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 11 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 5 additional inputs, on iter 12 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 13 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 63 inf + 0 * * [misc]simplify: Extracting #2: cost 143 inf + 5 * * [misc]simplify: Extracting #3: cost 151 inf + 795 * * [misc]simplify: Extracting #4: cost 156 inf + 960 * * [misc]simplify: Extracting #5: cost 162 inf + 1473 * * [misc]simplify: Extracting #6: cost 130 inf + 9295 * * [misc]simplify: Extracting #7: cost 36 inf + 52184 * * [misc]simplify: Extracting #8: cost 1 inf + 70166 * * [misc]simplify: Extracting #9: cost 0 inf + 70630 * [exit]simplify: Simplified to (/ -1 (/ (/ PI 4) (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1) * * * * [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) * [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: [ 3 / 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: [ 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 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 75 * * [misc]simplify: Extracting #4: cost 24 inf + 396 * * [misc]simplify: Extracting #5: cost 14 inf + 2010 * * [misc]simplify: Extracting #6: cost 2 inf + 6770 * * [misc]simplify: Extracting #7: cost 0 inf + 5828 * * [misc]simplify: Extracting #8: cost 0 inf + 5488 * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (/ -1 (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)))) (+ (+ (exp (/ (* f PI) 4)) (/ -1 (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 (87 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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 (/ (* f PI) 4)) (/ -1 (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 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 45 * * [misc]simplify: Extracting #4: cost 19 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 971 * * [misc]simplify: Extracting #6: cost 2 inf + 2210 * * [misc]simplify: Extracting #7: cost 0 inf + 2716 * [exit]simplify: Simplified to (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (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 (69 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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)) (/ -1 (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 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 2 * * [misc]simplify: Extracting #3: cost 38 inf + 116 * * [misc]simplify: Extracting #4: cost 32 inf + 354 * * [misc]simplify: Extracting #5: cost 20 inf + 2396 * * [misc]simplify: Extracting #6: cost 10 inf + 6528 * * [misc]simplify: Extracting #7: cost 0 inf + 9952 * * [misc]simplify: Extracting #8: cost 0 inf + 8252 * [exit]simplify: Simplified to (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (exp (* (/ PI 4) f)))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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)) (/ -1 (exp (* (/ PI 4) f)))) 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 (79 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 45 * * [misc]simplify: Extracting #4: cost 19 inf + 353 * * [misc]simplify: Extracting #5: cost 5 inf + 2308 * * [misc]simplify: Extracting #6: cost 0 inf + 3565 * [exit]simplify: Simplified to (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (exp (* (/ PI 4) f)))) (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 (87 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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)) (/ -1 (exp (* (/ PI 4) f)))) 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 (51 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 73 * * [misc]simplify: Extracting #4: cost 19 inf + 228 * * [misc]simplify: Extracting #5: cost 5 inf + 1690 * * [misc]simplify: Extracting #6: cost 0 inf + 2818 * [exit]simplify: Simplified to (+ (exp (/ (* f PI) 4)) (/ -1 (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)))) (+ (+ (exp (/ (* f PI) 4)) (/ -1 (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 (69 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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 (/ (* f PI) 4)) (/ -1 (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 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 2 * * [misc]simplify: Extracting #3: cost 21 inf + 186 * * [misc]simplify: Extracting #4: cost 17 inf + 310 * * [misc]simplify: Extracting #5: cost 6 inf + 1305 * * [misc]simplify: Extracting #6: cost 0 inf + 2546 * [exit]simplify: Simplified to (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (exp (* (/ PI 4) f)))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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)) (/ -1 (exp (* (/ PI 4) f)))) 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 (83 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 116 * * [misc]simplify: Extracting #4: cost 21 inf + 478 * * [misc]simplify: Extracting #5: cost 7 inf + 2951 * * [misc]simplify: Extracting #6: cost 0 inf + 5103 * * [misc]simplify: Extracting #7: cost 0 inf + 5100 * [exit]simplify: Simplified to (+ (/ -1 (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)))) (+ (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))) (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 (87 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))) 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 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 74 * * [misc]simplify: Extracting #4: cost 17 inf + 354 * * [misc]simplify: Extracting #5: cost 4 inf + 1966 * * [misc]simplify: Extracting #6: cost 0 inf + 2979 * [exit]simplify: Simplified to (+ (exp (/ PI (/ 4 f))) (/ -1 (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))) (/ -1 (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 (69 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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))) (/ -1 (exp (/ PI (/ 4 f))))) 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 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 2 * * [misc]simplify: Extracting #3: cost 22 inf + 227 * * [misc]simplify: Extracting #4: cost 15 inf + 598 * * [misc]simplify: Extracting #5: cost 7 inf + 1395 * * [misc]simplify: Extracting #6: cost 0 inf + 2485 * [exit]simplify: Simplified to (+ (exp (/ PI (/ 4 f))) (/ -1 (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))) (/ -1 (exp (/ PI (/ 4 f))))) (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 (56 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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))) (/ -1 (exp (/ PI (/ 4 f))))) 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 983 * [exit]simplify: Simplified to (* (cbrt (exp (* (/ PI 4) f))) (cbrt (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 (* (cbrt (exp (* (/ PI 4) f))) (cbrt (exp (* (/ PI 4) f)))) (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 45 * * [misc]simplify: Extracting #5: cost 0 inf + 670 * [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 (56 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 3 * * [misc]simplify: Extracting #5: cost 19 inf + 129 * * [misc]simplify: Extracting #6: cost 6 inf + 1842 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3544 * [exit]simplify: Simplified to (exp (+ (exp (* (/ PI 4) f)) (/ -1 (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)))) (log (exp (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 2 * * [misc]simplify: Extracting #5: cost 14 inf + 169 * * [misc]simplify: Extracting #6: cost 5 inf + 929 * * [misc]simplify: Extracting #7: cost 1 inf + 1700 * * [misc]simplify: Extracting #8: cost 0 inf + 2163 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 2 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 6 inf + 929 * * [misc]simplify: Extracting #7: cost 2 inf + 1700 * * [misc]simplify: Extracting #8: cost 0 inf + 2356 * [exit]simplify: Simplified to (- (sqrt (exp (* (/ PI 4) f))) (sqrt (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)))) (* (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))))))) * * * * [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 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 15 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 1123 * * [misc]simplify: Extracting #6: cost 0 inf + 1703 * [exit]simplify: Simplified to (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (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 # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 0 * * [misc]simplify: Extracting #7: cost 23 inf + 44 * * [misc]simplify: Extracting #8: cost 20 inf + 88 * * [misc]simplify: Extracting #9: cost 7 inf + 1699 * * [misc]simplify: Extracting #10: cost 5 inf + 2046 * * [misc]simplify: Extracting #11: cost 1 inf + 4292 * * [misc]simplify: Extracting #12: cost 0 inf + 4906 * [exit]simplify: Simplified to (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (exp (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))))) (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 32 / 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 0 * * [misc]simplify: Extracting #6: cost 22 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 130 * * [misc]simplify: Extracting #8: cost 6 inf + 1466 * * [misc]simplify: Extracting #9: cost 3 inf + 2046 * * [misc]simplify: Extracting #10: cost 0 inf + 3588 * [exit]simplify: Simplified to (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 33 / 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 (77 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 0 * * [misc]simplify: Extracting #6: cost 50 inf + 3 * * [misc]simplify: Extracting #7: cost 46 inf + 87 * * [misc]simplify: Extracting #8: cost 30 inf + 2609 * * [misc]simplify: Extracting #9: cost 16 inf + 9871 * * [misc]simplify: Extracting #10: cost 4 inf + 17048 * * [misc]simplify: Extracting #11: cost 1 inf + 18780 * * [misc]simplify: Extracting #12: cost 0 inf + 19284 * [exit]simplify: Simplified to (+ (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (/ -1 (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 (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (log (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (/ -1 (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: [ 34 / 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 (61 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 0 * * [misc]simplify: Extracting #6: cost 34 inf + 44 * * [misc]simplify: Extracting #7: cost 31 inf + 128 * * [misc]simplify: Extracting #8: cost 19 inf + 1356 * * [misc]simplify: Extracting #9: cost 11 inf + 4820 * * [misc]simplify: Extracting #10: cost 3 inf + 9058 * * [misc]simplify: Extracting #11: cost 0 inf + 10909 * [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: [ 35 / 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 (85 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 2 * * [misc]simplify: Extracting #4: cost 9 inf + 2 * * [misc]simplify: Extracting #5: cost 15 inf + 2 * * [misc]simplify: Extracting #6: cost 23 inf + 3 * * [misc]simplify: Extracting #7: cost 18 inf + 169 * * [misc]simplify: Extracting #8: cost 8 inf + 1123 * * [misc]simplify: Extracting #9: cost 5 inf + 2121 * * [misc]simplify: Extracting #10: cost 0 inf + 4808 * * [misc]simplify: Extracting #11: cost 0 inf + 4807 * [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: [ 36 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 0 * * [misc]simplify: Extracting #6: cost 34 inf + 43 * * [misc]simplify: Extracting #7: cost 31 inf + 127 * * [misc]simplify: Extracting #8: cost 19 inf + 1395 * * [misc]simplify: Extracting #9: cost 14 inf + 3009 * * [misc]simplify: Extracting #10: cost 3 inf + 9702 * * [misc]simplify: Extracting #11: cost 0 inf + 11741 * * [misc]simplify: Extracting #12: cost 0 inf + 11671 * [exit]simplify: Simplified to (log (/ (* (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (* PI (- f)) 4)))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (* PI (- f)) 4))))) (+ (sqrt (exp (/ (* PI (- f)) 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 (/ (* PI (- f)) 4)))) (cbrt (+ (exp (/ PI (/ 4 f))) (exp (/ (* PI (- f)) 4))))) (+ (sqrt (exp (/ (* PI (- f)) 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: [ 37 / 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 (85 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 2 * * [misc]simplify: Extracting #4: cost 9 inf + 2 * * [misc]simplify: Extracting #5: cost 15 inf + 2 * * [misc]simplify: Extracting #6: cost 23 inf + 3 * * [misc]simplify: Extracting #7: cost 18 inf + 169 * * [misc]simplify: Extracting #8: cost 8 inf + 1123 * * [misc]simplify: Extracting #9: cost 5 inf + 2121 * * [misc]simplify: Extracting #10: cost 0 inf + 4808 * * [misc]simplify: Extracting #11: cost 0 inf + 4807 * [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: [ 38 / 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 (59 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 0 * * [misc]simplify: Extracting #6: cost 36 inf + 44 * * [misc]simplify: Extracting #7: cost 33 inf + 128 * * [misc]simplify: Extracting #8: cost 20 inf + 1739 * * [misc]simplify: Extracting #9: cost 9 inf + 7122 * * [misc]simplify: Extracting #10: cost 1 inf + 11094 * * [misc]simplify: Extracting #11: cost 0 inf + 11451 * [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: [ 39 / 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 (54 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 26 inf + 3 * * [misc]simplify: Extracting #7: cost 21 inf + 130 * * [misc]simplify: Extracting #8: cost 11 inf + 1123 * * [misc]simplify: Extracting #9: cost 4 inf + 3374 * * [misc]simplify: Extracting #10: cost 0 inf + 5151 * * [misc]simplify: Extracting #11: cost 0 inf + 5042 * [exit]simplify: Simplified to (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (/ -1 (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 (* (- f) (/ PI 4))))) (sqrt (+ (/ -1 (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: [ 40 / 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 170 * * [misc]simplify: Extracting #7: cost 3 inf + 1275 * * [misc]simplify: Extracting #8: cost 1 inf + 1921 * * [misc]simplify: Extracting #9: cost 0 inf + 2334 * [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: [ 41 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 25 inf + 43 * * [misc]simplify: Extracting #7: cost 22 inf + 86 * * [misc]simplify: Extracting #8: cost 10 inf + 1355 * * [misc]simplify: Extracting #9: cost 2 inf + 4658 * * [misc]simplify: Extracting #10: cost 0 inf + 5804 * [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: [ 42 / 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 170 * * [misc]simplify: Extracting #7: cost 3 inf + 1275 * * [misc]simplify: Extracting #8: cost 1 inf + 1921 * * [misc]simplify: Extracting #9: cost 0 inf + 2334 * [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: [ 43 / 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 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 2 * * [misc]simplify: Extracting #5: cost 23 inf + 2 * * [misc]simplify: Extracting #6: cost 29 inf + 45 * * [misc]simplify: Extracting #7: cost 24 inf + 254 * * [misc]simplify: Extracting #8: cost 15 inf + 1358 * * [misc]simplify: Extracting #9: cost 4 inf + 4818 * * [misc]simplify: Extracting #10: cost 0 inf + 6554 * [exit]simplify: Simplified to (- (log (* (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))) (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (* (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))) (cbrt (+ (/ -1 (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: [ 44 / 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 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 2 * * [misc]simplify: Extracting #5: cost 15 inf + 2 * * [misc]simplify: Extracting #6: cost 21 inf + 45 * * [misc]simplify: Extracting #7: cost 15 inf + 295 * * [misc]simplify: Extracting #8: cost 4 inf + 1853 * * [misc]simplify: Extracting #9: cost 0 inf + 3617 * * [misc]simplify: Extracting #10: cost 0 inf + 3021 * [exit]simplify: Simplified to (- (log (sqrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 45 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 46 / 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 2 * * [misc]simplify: Extracting #5: cost 14 inf + 2 * * [misc]simplify: Extracting #6: cost 21 inf + 44 * * [misc]simplify: Extracting #7: cost 16 inf + 211 * * [misc]simplify: Extracting #8: cost 8 inf + 1010 * * [misc]simplify: Extracting #9: cost 0 inf + 3774 * [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: [ 47 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 48 / 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 (67 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 2 * * [misc]simplify: Extracting #5: cost 23 inf + 2 * * [misc]simplify: Extracting #6: cost 29 inf + 45 * * [misc]simplify: Extracting #7: cost 24 inf + 254 * * [misc]simplify: Extracting #8: cost 15 inf + 1358 * * [misc]simplify: Extracting #9: cost 4 inf + 4818 * * [misc]simplify: Extracting #10: cost 0 inf + 6554 * [exit]simplify: Simplified to (- (log (* (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))) (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (* (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))) (cbrt (+ (/ -1 (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: [ 49 / 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 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 2 * * [misc]simplify: Extracting #5: cost 15 inf + 2 * * [misc]simplify: Extracting #6: cost 21 inf + 45 * * [misc]simplify: Extracting #7: cost 15 inf + 295 * * [misc]simplify: Extracting #8: cost 4 inf + 1853 * * [misc]simplify: Extracting #9: cost 0 inf + 3617 * * [misc]simplify: Extracting #10: cost 0 inf + 3021 * [exit]simplify: Simplified to (- (log (sqrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (sqrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 50 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 51 / 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 2 * * [misc]simplify: Extracting #5: cost 14 inf + 2 * * [misc]simplify: Extracting #6: cost 21 inf + 44 * * [misc]simplify: Extracting #7: cost 16 inf + 211 * * [misc]simplify: Extracting #8: cost 8 inf + 1010 * * [misc]simplify: Extracting #9: cost 0 inf + 3774 * [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: [ 52 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 53 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ 0 (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 54 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 43 * * [misc]simplify: Extracting #5: cost 15 inf + 45 * * [misc]simplify: Extracting #6: cost 3 inf + 1122 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 * [exit]simplify: Simplified to (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (/ 1 (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 55 / 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 (241 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 48 inf + 1 * * [misc]simplify: Extracting #5: cost 83 inf + 45 * * [misc]simplify: Extracting #6: cost 68 inf + 1596 * * [misc]simplify: Extracting #7: cost 24 inf + 8995 * * [misc]simplify: Extracting #8: cost 3 inf + 14091 * * [misc]simplify: Extracting #9: cost 0 inf + 15087 * * [misc]simplify: Extracting #10: cost 0 inf + 15063 * [exit]simplify: Simplified to (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ PI (/ 4 (- f))))) (fma (exp (* (/ PI 4) (+ f f))) (exp (/ (* f PI) 4)) (/ (/ (/ -1 (exp (/ (* f PI) 4))) (exp (/ (* f PI) 4))) (exp (/ (* f PI) 4)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (log (/ (+ (exp (/ (* f PI) 4)) (exp (/ PI (/ 4 (- f))))) (fma (exp (* (/ PI 4) (+ f f))) (exp (/ (* f PI) 4)) (/ (/ (/ -1 (exp (/ (* f PI) 4))) (exp (/ (* f PI) 4))) (exp (/ (* f 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]progress: [ 56 / 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 (165 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 1 * * [misc]simplify: Extracting #3: cost 64 inf + 2 * * [misc]simplify: Extracting #4: cost 96 inf + 3 * * [misc]simplify: Extracting #5: cost 117 inf + 298 * * [misc]simplify: Extracting #6: cost 92 inf + 3786 * * [misc]simplify: Extracting #7: cost 22 inf + 23439 * * [misc]simplify: Extracting #8: cost 4 inf + 30676 * * [misc]simplify: Extracting #9: cost 0 inf + 32247 * * [misc]simplify: Extracting #10: cost 0 inf + 32068 * [exit]simplify: Simplified to (- (log (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (+ (- (log (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 57 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 43 * * [misc]simplify: Extracting #5: cost 15 inf + 45 * * [misc]simplify: Extracting #6: cost 3 inf + 1122 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 * [exit]simplify: Simplified to (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 58 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 43 * * [misc]simplify: Extracting #5: cost 15 inf + 45 * * [misc]simplify: Extracting #6: cost 3 inf + 1122 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 * [exit]simplify: Simplified to (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (- (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 61 / 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 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 128 * * [misc]simplify: Extracting #6: cost 4 inf + 1426 * * [misc]simplify: Extracting #7: cost 0 inf + 2389 * [exit]simplify: Simplified to (/ (+ (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 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 62 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 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 (51 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 211 * * [misc]simplify: Extracting #7: cost 7 inf + 1275 * * [misc]simplify: Extracting #8: cost 1 inf + 3107 * * [misc]simplify: Extracting #9: cost 0 inf + 3711 * [exit]simplify: Simplified to (- (log (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (log (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))) * [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)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 72 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 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 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 38 inf + 0 * * [misc]simplify: Extracting #2: cost 97 inf + 1 * * [misc]simplify: Extracting #3: cost 167 inf + 2 * * [misc]simplify: Extracting #4: cost 176 inf + 4 * * [misc]simplify: Extracting #5: cost 158 inf + 1929 * * [misc]simplify: Extracting #6: cost 76 inf + 29894 * * [misc]simplify: Extracting #7: cost 6 inf + 57228 * * [misc]simplify: Extracting #8: cost 0 inf + 59377 * [exit]simplify: Simplified to (* (* (/ (+ (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: Simplified (2 1 2 1 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))))) (/ (+ (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 # * * * * [misc]progress: [ 76 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 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 (65 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 44 * * [misc]simplify: Extracting #6: cost 25 inf + 88 * * [misc]simplify: Extracting #7: cost 13 inf + 1275 * * [misc]simplify: Extracting #8: cost 7 inf + 3217 * * [misc]simplify: Extracting #9: cost 0 inf + 7864 * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (/ -1 (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 (* (- f) (/ PI 4))))) (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))))) (/ (cbrt (+ (exp (/ PI (/ 4 f))) (exp (* (- f) (/ PI 4))))) (cbrt (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f))))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 130 * * [misc]simplify: Extracting #7: cost 7 inf + 1123 * * [misc]simplify: Extracting #8: cost 1 inf + 2783 * * [misc]simplify: Extracting #9: cost 0 inf + 3407 * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (* (- f) (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 80 / 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 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 3 * * [misc]simplify: Extracting #6: cost 20 inf + 169 * * [misc]simplify: Extracting #7: cost 8 inf + 1509 * * [misc]simplify: Extracting #8: cost 4 inf + 2743 * * [misc]simplify: Extracting #9: cost 0 inf + 4998 * [exit]simplify: Simplified to (* (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (exp (* (/ PI 4) f)))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 130 * * [misc]simplify: Extracting #7: cost 7 inf + 1123 * * [misc]simplify: Extracting #8: cost 1 inf + 2743 * * [misc]simplify: Extracting #9: cost 0 inf + 3327 * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (* (- f) (/ PI 4))))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 81 / 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 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 43 * * [misc]simplify: Extracting #6: cost 17 inf + 45 * * [misc]simplify: Extracting #7: cost 4 inf + 1274 * * [misc]simplify: Extracting #8: cost 0 inf + 3127 * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 170 * * [misc]simplify: Extracting #6: cost 6 inf + 1123 * * [misc]simplify: Extracting #7: cost 1 inf + 2698 * * [misc]simplify: Extracting #8: cost 0 inf + 3133 * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (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 (- f)) 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 82 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 2 * * [misc]simplify: Extracting #6: cost 20 inf + 209 * * [misc]simplify: Extracting #7: cost 8 inf + 1507 * * [misc]simplify: Extracting #8: cost 4 inf + 2889 * * [misc]simplify: Extracting #9: cost 0 inf + 5141 * [exit]simplify: Simplified to (/ (* (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 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))))) (/ (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 43 * * [misc]simplify: Extracting #6: cost 19 inf + 127 * * [misc]simplify: Extracting #7: cost 5 inf + 1780 * * [misc]simplify: Extracting #8: cost 0 inf + 3745 * [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: [ 83 / 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 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 43 * * [misc]simplify: Extracting #6: cost 17 inf + 45 * * [misc]simplify: Extracting #7: cost 4 inf + 1274 * * [misc]simplify: Extracting #8: cost 0 inf + 3127 * [exit]simplify: Simplified to (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [enter]simplify: Simplifying (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 170 * * [misc]simplify: Extracting #6: cost 6 inf + 1123 * * [misc]simplify: Extracting #7: cost 1 inf + 2698 * * [misc]simplify: Extracting #8: cost 0 inf + 3133 * [exit]simplify: Simplified to (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (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 (- f)) 4)))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (* PI (- f)) 4))))) (/ (cbrt (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 84 / 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 (51 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 44 * * [misc]simplify: Extracting #6: cost 20 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 1509 * * [misc]simplify: Extracting #8: cost 1 inf + 4007 * * [misc]simplify: Extracting #9: cost 0 inf + 4264 * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f))))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 130 * * [misc]simplify: Extracting #7: cost 7 inf + 1123 * * [misc]simplify: Extracting #8: cost 1 inf + 2743 * * [misc]simplify: Extracting #9: cost 0 inf + 3327 * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (* (- f) (/ PI 4))))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 85 / 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 130 * * [misc]simplify: Extracting #7: cost 7 inf + 1123 * * [misc]simplify: Extracting #8: cost 1 inf + 2703 * * [misc]simplify: Extracting #9: cost 0 inf + 3247 * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (* (- f) (/ PI 4))))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 130 * * [misc]simplify: Extracting #7: cost 7 inf + 1123 * * [misc]simplify: Extracting #8: cost 1 inf + 2703 * * [misc]simplify: Extracting #9: cost 0 inf + 3247 * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (* (- f) (/ PI 4))))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (* (- f) (/ PI 4))))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 86 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 43 * * [misc]simplify: Extracting #5: cost 13 inf + 169 * * [misc]simplify: Extracting #6: cost 4 inf + 1040 * * [misc]simplify: Extracting #7: cost 0 inf + 1920 * [exit]simplify: Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 170 * * [misc]simplify: Extracting #6: cost 6 inf + 1123 * * [misc]simplify: Extracting #7: cost 1 inf + 2658 * * [misc]simplify: Extracting #8: cost 0 inf + 3053 * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (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 (/ (- (* f PI)) 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 87 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 43 * * [misc]simplify: Extracting #6: cost 18 inf + 86 * * [misc]simplify: Extracting #7: cost 5 inf + 1507 * * [misc]simplify: Extracting #8: cost 0 inf + 3392 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 43 * * [misc]simplify: Extracting #6: cost 19 inf + 127 * * [misc]simplify: Extracting #7: cost 5 inf + 1780 * * [misc]simplify: Extracting #8: cost 0 inf + 3665 * [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: [ 88 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 43 * * [misc]simplify: Extracting #5: cost 13 inf + 169 * * [misc]simplify: Extracting #6: cost 4 inf + 1040 * * [misc]simplify: Extracting #7: cost 0 inf + 1920 * [exit]simplify: Simplified to (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 170 * * [misc]simplify: Extracting #6: cost 6 inf + 1123 * * [misc]simplify: Extracting #7: cost 1 inf + 2658 * * [misc]simplify: Extracting #8: cost 0 inf + 3053 * [exit]simplify: Simplified to (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (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 (/ (- (* f PI)) 4)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 89 / 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 44 * * [misc]simplify: Extracting #6: cost 16 inf + 252 * * [misc]simplify: Extracting #7: cost 7 inf + 1122 * * [misc]simplify: Extracting #8: cost 4 inf + 1703 * * [misc]simplify: Extracting #9: cost 0 inf + 3121 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (/ -1 (exp (/ (* PI f) 4))) (exp (/ (* PI f) 4)))) (cbrt (+ (/ -1 (exp (/ (* PI f) 4))) (exp (/ (* PI f) 4)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (+ (/ -1 (exp (/ (* PI f) 4))) (exp (/ (* PI f) 4)))) (cbrt (+ (/ -1 (exp (/ (* PI f) 4))) (exp (/ (* PI f) 4)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 170 * * [misc]simplify: Extracting #6: cost 5 inf + 1506 * * [misc]simplify: Extracting #7: cost 1 inf + 2549 * * [misc]simplify: Extracting #8: cost 0 inf + 2984 * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (/ (- (* f PI)) 4))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 90 / 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 13 inf + 335 * * [misc]simplify: Extracting #7: cost 5 inf + 1122 * * [misc]simplify: Extracting #8: cost 2 inf + 1703 * * [misc]simplify: Extracting #9: cost 0 inf + 2292 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (/ -1 (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 (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 170 * * [misc]simplify: Extracting #6: cost 5 inf + 1506 * * [misc]simplify: Extracting #7: cost 1 inf + 2509 * * [misc]simplify: Extracting #8: cost 0 inf + 2904 * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (/ (- (* f PI)) 4))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 91 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 128 * * [misc]simplify: Extracting #6: cost 4 inf + 1426 * * [misc]simplify: Extracting #7: cost 0 inf + 2389 * [exit]simplify: Simplified to (/ (+ (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 (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 92 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 43 * * [misc]simplify: Extracting #6: cost 10 inf + 489 * * [misc]simplify: Extracting #7: cost 3 inf + 1468 * * [misc]simplify: Extracting #8: cost 1 inf + 2163 * * [misc]simplify: Extracting #9: cost 0 inf + 2667 * [exit]simplify: Simplified to (/ 1 (+ (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 (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ PI (/ 4 (- f))))))) (/ (+ (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 210 * * [misc]simplify: Extracting #6: cost 6 inf + 1315 * * [misc]simplify: Extracting #7: cost 1 inf + 3089 * * [misc]simplify: Extracting #8: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (+ (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 (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (/ PI (/ 4 (- f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ PI (/ 4 (- f)))))))))))) * * * * [misc]progress: [ 93 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 128 * * [misc]simplify: Extracting #6: cost 4 inf + 1426 * * [misc]simplify: Extracting #7: cost 0 inf + 2389 * [exit]simplify: Simplified to (/ (+ (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 (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 94 / 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 (48 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 44 * * [misc]simplify: Extracting #6: cost 16 inf + 252 * * [misc]simplify: Extracting #7: cost 7 inf + 1122 * * [misc]simplify: Extracting #8: cost 4 inf + 1703 * * [misc]simplify: Extracting #9: cost 0 inf + 3121 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (/ -1 (exp (/ (* PI f) 4))) (exp (/ (* PI f) 4)))) (cbrt (+ (/ -1 (exp (/ (* PI f) 4))) (exp (/ (* PI f) 4)))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* (/ 1 (* (cbrt (+ (/ -1 (exp (/ (* PI f) 4))) (exp (/ (* PI f) 4)))) (cbrt (+ (/ -1 (exp (/ (* PI f) 4))) (exp (/ (* PI f) 4)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 170 * * [misc]simplify: Extracting #6: cost 5 inf + 1506 * * [misc]simplify: Extracting #7: cost 1 inf + 2549 * * [misc]simplify: Extracting #8: cost 0 inf + 2984 * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (/ (- (* f PI)) 4))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 95 / 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 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 13 inf + 335 * * [misc]simplify: Extracting #7: cost 5 inf + 1122 * * [misc]simplify: Extracting #8: cost 2 inf + 1703 * * [misc]simplify: Extracting #9: cost 0 inf + 2292 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (/ -1 (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 (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 170 * * [misc]simplify: Extracting #6: cost 5 inf + 1506 * * [misc]simplify: Extracting #7: cost 1 inf + 2509 * * [misc]simplify: Extracting #8: cost 0 inf + 2904 * [exit]simplify: Simplified to (/ (+ (exp (* (/ PI 4) f)) (exp (/ (- (* f PI)) 4))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (/ (- (* f PI)) 4))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 96 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 128 * * [misc]simplify: Extracting #6: cost 4 inf + 1426 * * [misc]simplify: Extracting #7: cost 0 inf + 2389 * [exit]simplify: Simplified to (/ (+ (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 (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 97 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 43 * * [misc]simplify: Extracting #6: cost 10 inf + 489 * * [misc]simplify: Extracting #7: cost 3 inf + 1468 * * [misc]simplify: Extracting #8: cost 1 inf + 2163 * * [misc]simplify: Extracting #9: cost 0 inf + 2667 * [exit]simplify: Simplified to (/ 1 (+ (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 (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ PI (/ 4 (- f))))))) (/ (+ (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 2 * * [misc]simplify: Extracting #5: cost 16 inf + 210 * * [misc]simplify: Extracting #6: cost 6 inf + 1315 * * [misc]simplify: Extracting #7: cost 1 inf + 3089 * * [misc]simplify: Extracting #8: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (+ (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 (* (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))) (/ (+ (exp (* (/ PI 4) f)) (exp (/ PI (/ 4 (- f))))) (- (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (/ PI (/ 4 (- f)))))))))))) * * * * [misc]progress: [ 98 / 202 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * [enter]simplify: Simplifying (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 16 inf + 128 * * [misc]simplify: Extracting #6: cost 4 inf + 1426 * * [misc]simplify: Extracting #7: cost 0 inf + 2389 * [exit]simplify: Simplified to (/ (+ (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 (* 1 (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))))) * * * * [misc]progress: [ 99 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 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 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 3 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 3 inf + 1275 * * [misc]simplify: Extracting #7: cost 0 inf + 2155 * * [misc]simplify: Extracting #8: cost 0 inf + 2017 * [exit]simplify: Simplified to (cbrt (+ (/ -1 (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)))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (cbrt (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 103 / 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 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 3 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 3 inf + 1275 * * [misc]simplify: Extracting #7: cost 0 inf + 2115 * * [misc]simplify: Extracting #8: cost 0 inf + 1977 * [exit]simplify: Simplified to (sqrt (+ (/ -1 (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)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 104 / 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 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 15 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 1123 * * [misc]simplify: Extracting #6: cost 0 inf + 1703 * [exit]simplify: Simplified to (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (exp (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 105 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 2 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 6 inf + 929 * * [misc]simplify: Extracting #7: cost 2 inf + 1700 * * [misc]simplify: Extracting #8: cost 0 inf + 2356 * [exit]simplify: Simplified to (- (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 (/ (/ (+ (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)))))))))) * * * * [misc]progress: [ 106 / 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 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 44 * * [misc]simplify: Extracting #4: cost 15 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 1123 * * [misc]simplify: Extracting #6: cost 0 inf + 1703 * [exit]simplify: Simplified to (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (exp (* (/ PI 4) f))))))))) * * * * [misc]progress: [ 107 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 2 * * [misc]simplify: Extracting #6: cost 14 inf + 169 * * [misc]simplify: Extracting #7: cost 4 inf + 1122 * * [misc]simplify: Extracting #8: cost 1 inf + 1960 * * [misc]simplify: Extracting #9: cost 0 inf + 2383 * [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: [ 108 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 43 * * [misc]simplify: Extracting #5: cost 15 inf + 45 * * [misc]simplify: Extracting #6: cost 3 inf + 1122 * * [misc]simplify: Extracting #7: cost 0 inf + 1920 * [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))))) (/ (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))))) * * * * [misc]progress: [ 109 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 202 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 1 * * [misc]simplify: Extracting #3: cost 53 inf + 337 * * [misc]simplify: Extracting #4: cost 43 inf + 1364 * * [misc]simplify: Extracting #5: cost 15 inf + 4722 * * [misc]simplify: Extracting #6: cost 2 inf + 8183 * * [misc]simplify: Extracting #7: cost 0 inf + 8936 * [exit]simplify: Simplified to (+ (exp (* (- (- f) f) (/ PI 4))) (fma (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f)) 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))) (+ (exp (* (- (- f) f) (/ PI 4))) (fma (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f)) 1))))))) * * * * [misc]progress: [ 112 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 43 * * [misc]simplify: Extracting #4: cost 12 inf + 169 * * [misc]simplify: Extracting #5: cost 2 inf + 1122 * * [misc]simplify: Extracting #6: cost 0 inf + 1577 * [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)))) (- (* (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: [ 113 / 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 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 0 * * [misc]simplify: Extracting #3: cost 61 inf + 621 * * [misc]simplify: Extracting #4: cost 50 inf + 1666 * * [misc]simplify: Extracting #5: cost 10 inf + 7232 * * [misc]simplify: Extracting #6: cost 0 inf + 9018 * * [misc]simplify: Extracting #7: cost 0 inf + 8908 * [exit]simplify: Simplified to (fma (exp (/ PI (/ 4 (- f)))) (* (exp (/ PI (/ 4 (- f)))) (exp (/ PI (/ 4 (- f))))) (exp (* (+ (/ PI 4) (+ (/ PI 4) (/ PI 4))) f))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (fma (exp (/ PI (/ 4 (- f)))) (* (exp (/ PI (/ 4 (- f)))) (exp (/ PI (/ 4 (- f))))) (exp (* (+ (/ PI 4) (+ (/ PI 4) (/ 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]progress: [ 114 / 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 (145 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 69 inf + 2 * * [misc]simplify: Extracting #3: cost 87 inf + 569 * * [misc]simplify: Extracting #4: cost 65 inf + 3532 * * [misc]simplify: Extracting #5: cost 11 inf + 15674 * * [misc]simplify: Extracting #6: cost 0 inf + 18737 * [exit]simplify: Simplified to (fma (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f)) (/ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (fma (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f)) (/ (/ -1 (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: [ 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 46 inf + 3 * * [misc]simplify: Extracting #3: cost 44 inf + 173 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 53 inf + 1364 * * [misc]simplify: Extracting #6: cost 17 inf + 10585 * * [misc]simplify: Extracting #7: cost 0 inf + 16949 * * [misc]simplify: Extracting #8: cost 0 inf + 16799 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (63 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 2 * * [misc]simplify: Extracting #4: cost 20 inf + 450 * * [misc]simplify: Extracting #5: cost 16 inf + 1782 * * [misc]simplify: Extracting #6: cost 24 inf + 1782 * * [misc]simplify: Extracting #7: cost 24 inf + 2091 * * [misc]simplify: Extracting #8: cost 13 inf + 3377 * * [misc]simplify: Extracting #9: cost 8 inf + 5596 * * [misc]simplify: Extracting #10: cost 0 inf + 11247 * * [misc]simplify: Extracting #11: cost 0 inf + 10057 * [exit]simplify: Simplified to (- (log (log (/ (+ (exp (* (- (/ PI 4)) f)) (exp (* (/ PI 4) f))) (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (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 (72 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 45 inf + 0 * * [misc]simplify: Extracting #2: cost 71 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 936 * * [misc]simplify: Extracting #4: cost 46 inf + 3074 * * [misc]simplify: Extracting #5: cost 41 inf + 4589 * * [misc]simplify: Extracting #6: cost 48 inf + 4589 * * [misc]simplify: Extracting #7: cost 48 inf + 5092 * * [misc]simplify: Extracting #8: cost 25 inf + 11567 * * [misc]simplify: Extracting #9: cost 6 inf + 22665 * * [misc]simplify: Extracting #10: cost 0 inf + 26372 * [exit]simplify: Simplified to (- (log (log (/ (+ (/ 1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (/ 1 (exp (* (/ PI 4) f))))))) (log (/ PI 4))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (/ (+ (/ 1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (- (exp (* (/ PI 4) f)) (/ 1 (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 (126 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 55 inf + 0 * * [misc]simplify: Extracting #2: cost 260 inf + 3 * * [misc]simplify: Extracting #3: cost 289 inf + 2174 * * [misc]simplify: Extracting #4: cost 284 inf + 3601 * * [misc]simplify: Extracting #5: cost 288 inf + 4346 * * [misc]simplify: Extracting #6: cost 264 inf + 9720 * * [misc]simplify: Extracting #7: cost 185 inf + 52418 * * [misc]simplify: Extracting #8: cost 38 inf + 150563 * * [misc]simplify: Extracting #9: cost 0 inf + 174652 * [exit]simplify: Simplified to (* (/ 4 PI) (* (* (/ 4 PI) (log (/ (+ (exp (- (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI)))))))) (* (log (/ (+ (exp (- (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI))))))) (* (/ 4 PI) (log (/ (+ (exp (- (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI))))))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (/ 4 PI) (* (* (/ 4 PI) (log (/ (+ (exp (- (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI)))))))) (* (log (/ (+ (exp (- (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI))))))) (* (/ 4 PI) (log (/ (+ (exp (- (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI)))) (- (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI)))))))))))))) * * * * [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 (71 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 45 * * [misc]simplify: Extracting #3: cost 8 inf + 129 * * [misc]simplify: Extracting #4: cost 10 inf + 129 * * [misc]simplify: Extracting #5: cost 13 inf + 129 * * [misc]simplify: Extracting #6: cost 20 inf + 129 * * [misc]simplify: Extracting #7: cost 32 inf + 243 * * [misc]simplify: Extracting #8: cost 16 inf + 1821 * * [misc]simplify: Extracting #9: cost 8 inf + 3149 * * [misc]simplify: Extracting #10: cost 6 inf + 4317 * * [misc]simplify: Extracting #11: cost 0 inf + 9157 * * [misc]simplify: Extracting #12: cost 0 inf + 7723 * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (/ (log (cbrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 45 * * [misc]simplify: Extracting #3: cost 8 inf + 129 * * [misc]simplify: Extracting #4: cost 10 inf + 129 * * [misc]simplify: Extracting #5: cost 13 inf + 129 * * [misc]simplify: Extracting #6: cost 20 inf + 129 * * [misc]simplify: Extracting #7: cost 32 inf + 243 * * [misc]simplify: Extracting #8: cost 16 inf + 1821 * * [misc]simplify: Extracting #9: cost 8 inf + 3149 * * [misc]simplify: Extracting #10: cost 6 inf + 4277 * * [misc]simplify: Extracting #11: cost 0 inf + 8877 * * [misc]simplify: Extracting #12: cost 0 inf + 7443 * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ (log (sqrt (/ (+ (exp (* (/ PI 4) (- f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (/ 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 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 380 * * [misc]simplify: Extracting #4: cost 54 inf + 546 * * [misc]simplify: Extracting #5: cost 60 inf + 546 * * [misc]simplify: Extracting #6: cost 68 inf + 1252 * * [misc]simplify: Extracting #7: cost 41 inf + 8251 * * [misc]simplify: Extracting #8: cost 22 inf + 19552 * * [misc]simplify: Extracting #9: cost 1 inf + 30668 * * [misc]simplify: Extracting #10: cost 0 inf + 28353 * * [misc]simplify: Extracting #11: cost 0 inf + 28204 * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 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 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 380 * * [misc]simplify: Extracting #4: cost 54 inf + 546 * * [misc]simplify: Extracting #5: cost 60 inf + 546 * * [misc]simplify: Extracting #6: cost 68 inf + 1252 * * [misc]simplify: Extracting #7: cost 41 inf + 8051 * * [misc]simplify: Extracting #8: cost 22 inf + 18752 * * [misc]simplify: Extracting #9: cost 1 inf + 29028 * * [misc]simplify: Extracting #10: cost 0 inf + 26673 * * [misc]simplify: Extracting #11: cost 0 inf + 26524 * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (cbrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 45 * * [misc]simplify: Extracting #3: cost 60 inf + 463 * * [misc]simplify: Extracting #4: cost 65 inf + 546 * * [misc]simplify: Extracting #5: cost 74 inf + 1171 * * [misc]simplify: Extracting #6: cost 58 inf + 2466 * * [misc]simplify: Extracting #7: cost 38 inf + 10075 * * [misc]simplify: Extracting #8: cost 13 inf + 20848 * * [misc]simplify: Extracting #9: cost 0 inf + 26042 * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (/ (log (/ (cbrt (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) 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 (298 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 3 * * [misc]simplify: Extracting #3: cost 38 inf + 213 * * [misc]simplify: Extracting #4: cost 39 inf + 255 * * [misc]simplify: Extracting #5: cost 45 inf + 255 * * [misc]simplify: Extracting #6: cost 53 inf + 961 * * [misc]simplify: Extracting #7: cost 29 inf + 5350 * * [misc]simplify: Extracting #8: cost 9 inf + 17530 * * [misc]simplify: Extracting #9: cost 0 inf + 23197 * [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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 45 * * [misc]simplify: Extracting #3: cost 60 inf + 463 * * [misc]simplify: Extracting #4: cost 65 inf + 546 * * [misc]simplify: Extracting #5: cost 74 inf + 1171 * * [misc]simplify: Extracting #6: cost 58 inf + 2466 * * [misc]simplify: Extracting #7: cost 38 inf + 10075 * * [misc]simplify: Extracting #8: cost 13 inf + 20848 * * [misc]simplify: Extracting #9: cost 0 inf + 26042 * [exit]simplify: Simplified to (/ (log (/ (cbrt (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1))) (/ (log (/ (cbrt (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) 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 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 380 * * [misc]simplify: Extracting #4: cost 54 inf + 546 * * [misc]simplify: Extracting #5: cost 60 inf + 546 * * [misc]simplify: Extracting #6: cost 68 inf + 1252 * * [misc]simplify: Extracting #7: cost 41 inf + 7971 * * [misc]simplify: Extracting #8: cost 22 inf + 18952 * * [misc]simplify: Extracting #9: cost 1 inf + 30068 * * [misc]simplify: Extracting #10: cost 0 inf + 27753 * * [misc]simplify: Extracting #11: cost 0 inf + 27604 * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))))) (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (cbrt (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 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 (72 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 380 * * [misc]simplify: Extracting #4: cost 54 inf + 546 * * [misc]simplify: Extracting #5: cost 60 inf + 546 * * [misc]simplify: Extracting #6: cost 68 inf + 1252 * * [misc]simplify: Extracting #7: cost 41 inf + 7771 * * [misc]simplify: Extracting #8: cost 22 inf + 18152 * * [misc]simplify: Extracting #9: cost 1 inf + 28428 * * [misc]simplify: Extracting #10: cost 0 inf + 26073 * * [misc]simplify: Extracting #11: cost 0 inf + 25924 * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (sqrt (+ (exp (/ (- f) (/ 4 PI))) (exp (* (/ PI 4) f)))) (sqrt (- (exp (* (/ PI 4) f)) (exp (/ (- f) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 45 * * [misc]simplify: Extracting #3: cost 60 inf + 463 * * [misc]simplify: Extracting #4: cost 65 inf + 546 * * [misc]simplify: Extracting #5: cost 74 inf + 1171 * * [misc]simplify: Extracting #6: cost 58 inf + 2466 * * [misc]simplify: Extracting #7: cost 38 inf + 9715 * * [misc]simplify: Extracting #8: cost 13 inf + 20248 * * [misc]simplify: Extracting #9: cost 0 inf + 25442 * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (/ (log (/ (sqrt (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) 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 (298 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 3 * * [misc]simplify: Extracting #3: cost 38 inf + 213 * * [misc]simplify: Extracting #4: cost 39 inf + 255 * * [misc]simplify: Extracting #5: cost 45 inf + 255 * * [misc]simplify: Extracting #6: cost 53 inf + 961 * * [misc]simplify: Extracting #7: cost 29 inf + 5230 * * [misc]simplify: Extracting #8: cost 9 inf + 17010 * * [misc]simplify: Extracting #9: cost 0 inf + 22597 * [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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 45 * * [misc]simplify: Extracting #3: cost 60 inf + 463 * * [misc]simplify: Extracting #4: cost 65 inf + 546 * * [misc]simplify: Extracting #5: cost 74 inf + 1171 * * [misc]simplify: Extracting #6: cost 58 inf + 2466 * * [misc]simplify: Extracting #7: cost 38 inf + 9715 * * [misc]simplify: Extracting #8: cost 13 inf + 20248 * * [misc]simplify: Extracting #9: cost 0 inf + 25442 * [exit]simplify: Simplified to (/ (log (/ (sqrt (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) f)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1))) (/ (log (/ (sqrt (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (exp (* (/ PI 4) 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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 45 * * [misc]simplify: Extracting #3: cost 59 inf + 463 * * [misc]simplify: Extracting #4: cost 65 inf + 546 * * [misc]simplify: Extracting #5: cost 74 inf + 1171 * * [misc]simplify: Extracting #6: cost 58 inf + 2466 * * [misc]simplify: Extracting #7: cost 38 inf + 10086 * * [misc]simplify: Extracting #8: cost 13 inf + 22379 * * [misc]simplify: Extracting #9: cost 0 inf + 28613 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (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))))))))) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 45 * * [misc]simplify: Extracting #3: cost 59 inf + 463 * * [misc]simplify: Extracting #4: cost 65 inf + 546 * * [misc]simplify: Extracting #5: cost 74 inf + 1171 * * [misc]simplify: Extracting #6: cost 58 inf + 2466 * * [misc]simplify: Extracting #7: cost 38 inf + 9686 * * [misc]simplify: Extracting #8: cost 13 inf + 20979 * * [misc]simplify: Extracting #9: cost 0 inf + 26693 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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)))))))) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 46 inf + 3 * * [misc]simplify: Extracting #3: cost 44 inf + 173 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 53 inf + 1364 * * [misc]simplify: Extracting #6: cost 17 inf + 10585 * * [misc]simplify: Extracting #7: cost 0 inf + 16949 * * [misc]simplify: Extracting #8: cost 0 inf + 16799 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (296 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 87 * * [misc]simplify: Extracting #3: cost 40 inf + 295 * * [misc]simplify: Extracting #4: cost 46 inf + 255 * * [misc]simplify: Extracting #5: cost 57 inf + 1055 * * [misc]simplify: Extracting #6: cost 26 inf + 8885 * * [misc]simplify: Extracting #7: cost 0 inf + 23306 * * [misc]simplify: Extracting #8: cost 0 inf + 22760 * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))))))) * * * * [misc]progress: [ 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 46 inf + 3 * * [misc]simplify: Extracting #3: cost 44 inf + 173 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 53 inf + 1364 * * [misc]simplify: Extracting #6: cost 17 inf + 10585 * * [misc]simplify: Extracting #7: cost 0 inf + 16949 * * [misc]simplify: Extracting #8: cost 0 inf + 16799 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 45 * * [misc]simplify: Extracting #3: cost 59 inf + 463 * * [misc]simplify: Extracting #4: cost 65 inf + 546 * * [misc]simplify: Extracting #5: cost 74 inf + 1171 * * [misc]simplify: Extracting #6: cost 58 inf + 2466 * * [misc]simplify: Extracting #7: cost 38 inf + 10086 * * [misc]simplify: Extracting #8: cost 13 inf + 22379 * * [misc]simplify: Extracting #9: cost 0 inf + 28613 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (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))))))))) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (cbrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (71 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 45 * * [misc]simplify: Extracting #3: cost 59 inf + 463 * * [misc]simplify: Extracting #4: cost 65 inf + 546 * * [misc]simplify: Extracting #5: cost 74 inf + 1171 * * [misc]simplify: Extracting #6: cost 58 inf + 2466 * * [misc]simplify: Extracting #7: cost 38 inf + 9686 * * [misc]simplify: Extracting #8: cost 13 inf + 20979 * * [misc]simplify: Extracting #9: cost 0 inf + 26693 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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)))))))) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (sqrt (+ (exp (* (/ PI 4) f)) (/ -1 (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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 46 inf + 3 * * [misc]simplify: Extracting #3: cost 44 inf + 173 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 53 inf + 1364 * * [misc]simplify: Extracting #6: cost 17 inf + 10585 * * [misc]simplify: Extracting #7: cost 0 inf + 16949 * * [misc]simplify: Extracting #8: cost 0 inf + 16799 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (296 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 87 * * [misc]simplify: Extracting #3: cost 40 inf + 295 * * [misc]simplify: Extracting #4: cost 46 inf + 255 * * [misc]simplify: Extracting #5: cost 57 inf + 1055 * * [misc]simplify: Extracting #6: cost 26 inf + 8885 * * [misc]simplify: Extracting #7: cost 0 inf + 23306 * * [misc]simplify: Extracting #8: cost 0 inf + 22760 * [exit]simplify: Simplified to (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f)))))))) (* (/ 4 PI) (log (/ (+ (exp (/ (- f) (/ 4 PI))) (exp (* f (/ PI 4)))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (/ (- f) (/ 4 PI))))))))))) * * * * [misc]progress: [ 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 46 inf + 3 * * [misc]simplify: Extracting #3: cost 44 inf + 173 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 53 inf + 1364 * * [misc]simplify: Extracting #6: cost 17 inf + 10585 * * [misc]simplify: Extracting #7: cost 0 inf + 16949 * * [misc]simplify: Extracting #8: cost 0 inf + 16799 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ 1 1))) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 46 inf + 3 * * [misc]simplify: Extracting #3: cost 44 inf + 173 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 53 inf + 1364 * * [misc]simplify: Extracting #6: cost 17 inf + 10585 * * [misc]simplify: Extracting #7: cost 0 inf + 16949 * * [misc]simplify: Extracting #8: cost 0 inf + 16799 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (/ (log (/ (+ (exp (- (* (/ PI 4) f))) (exp (* (/ PI 4) f))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (148 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 48 * * [misc]simplify: Extracting #3: cost 21 inf + 424 * * [misc]simplify: Extracting #4: cost 23 inf + 797 * * [misc]simplify: Extracting #5: cost 34 inf + 1146 * * [misc]simplify: Extracting #6: cost 19 inf + 2359 * * [misc]simplify: Extracting #7: cost 6 inf + 6450 * * [misc]simplify: Extracting #8: cost 0 inf + 8338 * * [misc]simplify: Extracting #9: cost 0 inf + 7679 * [exit]simplify: Simplified to (/ (log (+ (/ -1 (exp (* f (/ PI 4)))) (exp (* f (/ PI 4))))) (/ (/ PI 4) -1)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (/ (log (+ (/ -1 (exp (* f (/ PI 4)))) (exp (* f (/ PI 4))))) (/ (/ PI 4) -1))))) * * * * [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 (365 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 129 * * [misc]simplify: Extracting #3: cost 16 inf + 129 * * [misc]simplify: Extracting #4: cost 44 inf + 129 * * [misc]simplify: Extracting #5: cost 97 inf + 1799 * * [misc]simplify: Extracting #6: cost 29 inf + 11134 * * [misc]simplify: Extracting #7: cost 0 inf + 16658 * [exit]simplify: Simplified to (/ (log (fma (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))) (fma (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f)) 1))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (pow (exp (* (/ PI 4) f)) 3) (pow (exp (- (* (/ PI 4) f))) 3))))) (/ (log (fma (exp (- (* (/ PI 4) f))) (exp (- (* (/ PI 4) f))) (fma (exp (* (/ PI 4) f)) (exp (* (/ PI 4) f)) 1))) (/ 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 (152 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 87 * * [misc]simplify: Extracting #3: cost 9 inf + 129 * * [misc]simplify: Extracting #4: cost 15 inf + 129 * * [misc]simplify: Extracting #5: cost 27 inf + 565 * * [misc]simplify: Extracting #6: cost 12 inf + 1609 * * [misc]simplify: Extracting #7: cost 5 inf + 2735 * * [misc]simplify: Extracting #8: cost 0 inf + 4800 * [exit]simplify: Simplified to (/ (log (+ (exp (- (* (/ PI 4) f))) (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 (- (* (/ PI 4) f))) (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 (71 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 3 * * [misc]simplify: Extracting #3: cost 9 inf + 254 * * [misc]simplify: Extracting #4: cost 11 inf + 254 * * [misc]simplify: Extracting #5: cost 14 inf + 254 * * [misc]simplify: Extracting #6: cost 21 inf + 254 * * [misc]simplify: Extracting #7: cost 32 inf + 732 * * [misc]simplify: Extracting #8: cost 11 inf + 3407 * * [misc]simplify: Extracting #9: cost 2 inf + 8752 * * [misc]simplify: Extracting #10: cost 0 inf + 8785 * * [misc]simplify: Extracting #11: cost 0 inf + 8307 * [exit]simplify: Simplified to (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (* (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (/ (log (cbrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 3 * * [misc]simplify: Extracting #3: cost 9 inf + 254 * * [misc]simplify: Extracting #4: cost 11 inf + 254 * * [misc]simplify: Extracting #5: cost 14 inf + 254 * * [misc]simplify: Extracting #6: cost 21 inf + 254 * * [misc]simplify: Extracting #7: cost 32 inf + 732 * * [misc]simplify: Extracting #8: cost 11 inf + 3407 * * [misc]simplify: Extracting #9: cost 2 inf + 8512 * * [misc]simplify: Extracting #10: cost 0 inf + 8465 * * [misc]simplify: Extracting #11: cost 0 inf + 7987 * [exit]simplify: Simplified to (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (/ (log (sqrt (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f)))))) (/ 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 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 87 * * [misc]simplify: Extracting #3: cost 59 inf + 213 * * [misc]simplify: Extracting #4: cost 62 inf + 213 * * [misc]simplify: Extracting #5: cost 69 inf + 213 * * [misc]simplify: Extracting #6: cost 74 inf + 1375 * * [misc]simplify: Extracting #7: cost 56 inf + 4392 * * [misc]simplify: Extracting #8: cost 18 inf + 20988 * * [misc]simplify: Extracting #9: cost 0 inf + 31827 * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI)))))) (cbrt (+ (/ -1 (exp (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))))) (/ 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)))))) (* (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 (/ 4 PI)))))) (cbrt (+ (/ -1 (exp (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))))) (/ 4 PI))))) * * * * [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 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 87 * * [misc]simplify: Extracting #3: cost 59 inf + 213 * * [misc]simplify: Extracting #4: cost 62 inf + 213 * * [misc]simplify: Extracting #5: cost 69 inf + 213 * * [misc]simplify: Extracting #6: cost 74 inf + 1375 * * [misc]simplify: Extracting #7: cost 56 inf + 4232 * * [misc]simplify: Extracting #8: cost 18 inf + 19468 * * [misc]simplify: Extracting #9: cost 0 inf + 29787 * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI)))))) (sqrt (+ (/ -1 (exp (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))))) (/ 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)))))) (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI)))))) (sqrt (+ (/ -1 (exp (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))))) (/ 4 PI))))) * * * * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 3 * * [misc]simplify: Extracting #3: cost 42 inf + 297 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 55 inf + 2978 * * [misc]simplify: Extracting #6: cost 10 inf + 16508 * * [misc]simplify: Extracting #7: cost 0 inf + 19857 * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI))))))) (/ 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 (300 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 3 * * [misc]simplify: Extracting #3: cost 37 inf + 173 * * [misc]simplify: Extracting #4: cost 38 inf + 255 * * [misc]simplify: Extracting #5: cost 44 inf + 255 * * [misc]simplify: Extracting #6: cost 57 inf + 2237 * * [misc]simplify: Extracting #7: cost 23 inf + 11064 * * [misc]simplify: Extracting #8: cost 3 inf + 24024 * * [misc]simplify: Extracting #9: cost 0 inf + 23593 * * [misc]simplify: Extracting #10: cost 0 inf + 23202 * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ 4 PI))))) * * * * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 3 * * [misc]simplify: Extracting #3: cost 42 inf + 297 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 55 inf + 2978 * * [misc]simplify: Extracting #6: cost 10 inf + 16508 * * [misc]simplify: Extracting #7: cost 0 inf + 19857 * [exit]simplify: Simplified to (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (* (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (cbrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI))))))) (/ 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 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 87 * * [misc]simplify: Extracting #3: cost 59 inf + 213 * * [misc]simplify: Extracting #4: cost 62 inf + 213 * * [misc]simplify: Extracting #5: cost 69 inf + 213 * * [misc]simplify: Extracting #6: cost 74 inf + 1375 * * [misc]simplify: Extracting #7: cost 56 inf + 4352 * * [misc]simplify: Extracting #8: cost 18 inf + 20788 * * [misc]simplify: Extracting #9: cost 0 inf + 31027 * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI)))))) (cbrt (+ (/ -1 (exp (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))))) (/ 4 PI)) * [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 (/ 4 PI)))))) (cbrt (+ (/ -1 (exp (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))))) (/ 4 PI))))) * * * * [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 (72 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 25 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 87 * * [misc]simplify: Extracting #3: cost 59 inf + 213 * * [misc]simplify: Extracting #4: cost 62 inf + 213 * * [misc]simplify: Extracting #5: cost 69 inf + 213 * * [misc]simplify: Extracting #6: cost 74 inf + 1375 * * [misc]simplify: Extracting #7: cost 56 inf + 4192 * * [misc]simplify: Extracting #8: cost 18 inf + 19268 * * [misc]simplify: Extracting #9: cost 0 inf + 28987 * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (- (/ f (/ 4 PI)))))) (sqrt (+ (/ -1 (exp (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))))) (/ 4 PI)) * [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 (/ 4 PI)))))) (sqrt (+ (/ -1 (exp (/ f (/ 4 PI)))) (exp (/ f (/ 4 PI))))))) (/ 4 PI))))) * * * * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 3 * * [misc]simplify: Extracting #3: cost 42 inf + 297 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 55 inf + 2898 * * [misc]simplify: Extracting #6: cost 10 inf + 15948 * * [misc]simplify: Extracting #7: cost 0 inf + 19257 * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI))))))) (/ 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 (300 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 3 * * [misc]simplify: Extracting #3: cost 37 inf + 173 * * [misc]simplify: Extracting #4: cost 38 inf + 255 * * [misc]simplify: Extracting #5: cost 44 inf + 255 * * [misc]simplify: Extracting #6: cost 57 inf + 2197 * * [misc]simplify: Extracting #7: cost 23 inf + 10704 * * [misc]simplify: Extracting #8: cost 3 inf + 23424 * * [misc]simplify: Extracting #9: cost 0 inf + 22993 * * [misc]simplify: Extracting #10: cost 0 inf + 22602 * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (+ (sqrt (exp (* (/ PI 4) f))) (sqrt (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (- (sqrt (exp (/ f (/ 4 PI)))) (sqrt (exp (* (/ PI 4) (- f))))))) (/ 4 PI))))) * * * * [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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 3 * * [misc]simplify: Extracting #3: cost 42 inf + 297 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 55 inf + 2898 * * [misc]simplify: Extracting #6: cost 10 inf + 15948 * * [misc]simplify: Extracting #7: cost 0 inf + 19257 * [exit]simplify: Simplified to (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ (sqrt (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) 1)) (/ 1 (/ PI 4))) (* (log (/ (sqrt (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f))))) (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI))))))) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 3 * * [misc]simplify: Extracting #3: cost 41 inf + 297 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 55 inf + 2669 * * [misc]simplify: Extracting #6: cost 10 inf + 16839 * * [misc]simplify: Extracting #7: cost 0 inf + 20748 * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI)))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI)))))))) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 3 * * [misc]simplify: Extracting #3: cost 41 inf + 297 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 55 inf + 2669 * * [misc]simplify: Extracting #6: cost 10 inf + 16039 * * [misc]simplify: Extracting #7: cost 0 inf + 19628 * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI)))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI)))))))) (/ 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 53 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 255 * * [misc]simplify: Extracting #4: cost 55 inf + 546 * * [misc]simplify: Extracting #5: cost 61 inf + 1708 * * [misc]simplify: Extracting #6: cost 25 inf + 12071 * * [misc]simplify: Extracting #7: cost 5 inf + 19478 * * [misc]simplify: Extracting #8: cost 0 inf + 21125 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (295 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 129 * * [misc]simplify: Extracting #3: cost 39 inf + 255 * * [misc]simplify: Extracting #4: cost 45 inf + 255 * * [misc]simplify: Extracting #5: cost 61 inf + 1822 * * [misc]simplify: Extracting #6: cost 29 inf + 8389 * * [misc]simplify: Extracting #7: cost 4 inf + 20334 * * [misc]simplify: Extracting #8: cost 0 inf + 20449 * * [misc]simplify: Extracting #9: cost 0 inf + 20045 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (- (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (- (* f (/ PI 4)))))))) (/ 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))) (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (- (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (- (* f (/ PI 4)))))))) (/ 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 53 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 255 * * [misc]simplify: Extracting #4: cost 55 inf + 546 * * [misc]simplify: Extracting #5: cost 61 inf + 1708 * * [misc]simplify: Extracting #6: cost 25 inf + 12071 * * [misc]simplify: Extracting #7: cost 5 inf + 19478 * * [misc]simplify: Extracting #8: cost 0 inf + 21125 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 3 * * [misc]simplify: Extracting #3: cost 41 inf + 297 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 55 inf + 2669 * * [misc]simplify: Extracting #6: cost 10 inf + 16839 * * [misc]simplify: Extracting #7: cost 0 inf + 20748 * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI)))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (* (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (cbrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (cbrt (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI)))))))) (/ 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 (71 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * * [misc]simplify: iters left: 1 (485 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 3 * * [misc]simplify: Extracting #3: cost 41 inf + 297 * * [misc]simplify: Extracting #4: cost 45 inf + 546 * * [misc]simplify: Extracting #5: cost 55 inf + 2669 * * [misc]simplify: Extracting #6: cost 10 inf + 16039 * * [misc]simplify: Extracting #7: cost 0 inf + 19628 * [exit]simplify: Simplified to (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI)))))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 (sqrt (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) (/ 1 (/ PI 4))) (* (log (/ (+ (exp (/ f (/ 4 PI))) (exp (* (/ PI 4) (- f)))) (sqrt (+ (exp (/ f (/ 4 PI))) (/ -1 (exp (/ f (/ 4 PI)))))))) (/ 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 53 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 255 * * [misc]simplify: Extracting #4: cost 55 inf + 546 * * [misc]simplify: Extracting #5: cost 61 inf + 1708 * * [misc]simplify: Extracting #6: cost 25 inf + 12071 * * [misc]simplify: Extracting #7: cost 5 inf + 19478 * * [misc]simplify: Extracting #8: cost 0 inf + 21125 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (295 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 129 * * [misc]simplify: Extracting #3: cost 39 inf + 255 * * [misc]simplify: Extracting #4: cost 45 inf + 255 * * [misc]simplify: Extracting #5: cost 61 inf + 1822 * * [misc]simplify: Extracting #6: cost 29 inf + 8389 * * [misc]simplify: Extracting #7: cost 4 inf + 20334 * * [misc]simplify: Extracting #8: cost 0 inf + 20449 * * [misc]simplify: Extracting #9: cost 0 inf + 20045 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (- (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (- (* f (/ PI 4)))))))) (/ 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))) (/ (log (/ (+ (exp (* f (/ PI 4))) (exp (- (* f (/ PI 4))))) (- (sqrt (exp (* f (/ PI 4)))) (sqrt (exp (- (* f (/ PI 4)))))))) (/ 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 53 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 255 * * [misc]simplify: Extracting #4: cost 55 inf + 546 * * [misc]simplify: Extracting #5: cost 61 inf + 1708 * * [misc]simplify: Extracting #6: cost 25 inf + 12071 * * [misc]simplify: Extracting #7: cost 5 inf + 19478 * * [misc]simplify: Extracting #8: cost 0 inf + 21125 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (/ 1 1)) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (70 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 53 inf + 45 * * [misc]simplify: Extracting #3: cost 53 inf + 255 * * [misc]simplify: Extracting #4: cost 55 inf + 546 * * [misc]simplify: Extracting #5: cost 61 inf + 1708 * * [misc]simplify: Extracting #6: cost 25 inf + 12071 * * [misc]simplify: Extracting #7: cost 5 inf + 19478 * * [misc]simplify: Extracting #8: cost 0 inf + 21125 * [exit]simplify: Simplified to (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (/ (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ 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 (156 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (447 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 6 * * [misc]simplify: Extracting #3: cost 21 inf + 798 * * [misc]simplify: Extracting #4: cost 24 inf + 1047 * * [misc]simplify: Extracting #5: cost 36 inf + 1243 * * [misc]simplify: Extracting #6: cost 20 inf + 2991 * * [misc]simplify: Extracting #7: cost 1 inf + 9548 * * [misc]simplify: Extracting #8: cost 0 inf + 8584 * * [misc]simplify: Extracting #9: cost 0 inf + 8475 * [exit]simplify: Simplified to (/ (- (log (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) f))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (/ 1 (/ PI 4))) (/ (- (log (+ (/ -1 (exp (* (/ PI 4) f))) (exp (* (/ PI 4) 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 (476 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 3 * * [misc]simplify: Extracting #3: cost 18 inf + 171 * * [misc]simplify: Extracting #4: cost 44 inf + 171 * * [misc]simplify: Extracting #5: cost 71 inf + 1508 * * [misc]simplify: Extracting #6: cost 18 inf + 9051 * * [misc]simplify: Extracting #7: cost 6 inf + 11506 * * [misc]simplify: Extracting #8: cost 0 inf + 14730 * [exit]simplify: Simplified to (/ (log (fma (exp (* (- (/ PI 4)) f)) (exp (* (- (/ PI 4)) f)) (fma (exp (* f (/ PI 4))) (exp (* f (/ PI 4))) 1))) (/ PI 4)) * [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))) (/ (log (fma (exp (* (- (/ PI 4)) f)) (exp (* (- (/ PI 4)) f)) (fma (exp (* f (/ PI 4))) (exp (* f (/ PI 4))) 1))) (/ PI 4))))) * * * * [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 (172 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 3 * * [misc]simplify: Extracting #3: cost 11 inf + 171 * * [misc]simplify: Extracting #4: cost 16 inf + 254 * * [misc]simplify: Extracting #5: cost 28 inf + 561 * * [misc]simplify: Extracting #6: cost 10 inf + 2225 * * [misc]simplify: Extracting #7: cost 7 inf + 2732 * * [misc]simplify: Extracting #8: cost 1 inf + 5410 * * [misc]simplify: Extracting #9: cost 0 inf + 5863 * [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 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 3 * * [misc]simplify: Extracting #6: cost 20 inf + 87 * * [misc]simplify: Extracting #7: cost 4 inf + 2837 * * [misc]simplify: Extracting #8: cost 2 inf + 3187 * * [misc]simplify: Extracting #9: cost 0 inf + 4265 * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* f (/ (- PI) 4)))) (+ (/ -1 (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 (* f (/ (- PI) 4)))) (+ (/ -1 (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 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 24 inf + 44 * * [misc]simplify: Extracting #7: cost 20 inf + 170 * * [misc]simplify: Extracting #8: cost 8 inf + 1699 * * [misc]simplify: Extracting #9: cost 3 inf + 3325 * * [misc]simplify: Extracting #10: cost 0 inf + 4719 * [exit]simplify: Simplified to (cbrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (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 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 24 inf + 44 * * [misc]simplify: Extracting #7: cost 20 inf + 170 * * [misc]simplify: Extracting #8: cost 8 inf + 1699 * * [misc]simplify: Extracting #9: cost 3 inf + 3325 * * [misc]simplify: Extracting #10: cost 0 inf + 4679 * [exit]simplify: Simplified to (sqrt (log (/ (+ (exp (* (/ PI 4) f)) (exp (* (/ PI 4) (- f)))) (+ (exp (* (/ PI 4) f)) (/ -1 (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)) (/ -1 (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 (52 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 3 * * [misc]simplify: Extracting #6: cost 20 inf + 87 * * [misc]simplify: Extracting #7: cost 4 inf + 2837 * * [misc]simplify: Extracting #8: cost 2 inf + 3187 * * [misc]simplify: Extracting #9: cost 0 inf + 4265 * [exit]simplify: Simplified to (log (/ (+ (exp (* (/ PI 4) f)) (exp (* f (/ (- PI) 4)))) (+ (/ -1 (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 (* f (/ (- PI) 4)))) (+ (/ -1 (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) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 1 inf + 371 * * [misc]simplify: Extracting #5: cost 0 inf + 413 * [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) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 1 inf + 169 * * [misc]simplify: Extracting #4: cost 0 inf + 211 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [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 (57 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 2 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 16 inf + 2 * * [misc]simplify: Extracting #5: cost 23 inf + 44 * * [misc]simplify: Extracting #6: cost 17 inf + 335 * * [misc]simplify: Extracting #7: cost 5 inf + 2305 * * [misc]simplify: Extracting #8: cost 0 inf + 4265 * [exit]simplify: Simplified to (log (/ (+ (exp (/ PI (/ 4 (- f)))) (exp (/ PI (/ 4 f)))) (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (log (/ (+ (exp (/ PI (/ 4 (- f)))) (exp (/ PI (/ 4 f)))) (+ (/ -1 (exp (/ PI (/ 4 f)))) (exp (/ PI (/ 4 f)))))) (/ 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 58 inf + 979 * * [misc]simplify: Extracting #3: cost 15 inf + 8217 * * [misc]simplify: Extracting #4: cost 0 inf + 11170 * * [misc]simplify: Extracting #5: cost 0 inf + 10780 * * [misc]simplify: Extracting #6: cost 0 inf + 10765 * [exit]simplify: Simplified to (fma (* 1/61440 (pow f 5)) (pow PI 5) (* (* PI f) (+ (* (* (* PI f) (* PI f)) 1/192) 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) (* (* PI f) (+ (* (* (* PI f) (* PI f)) 1/192) 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 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 2 * * [misc]simplify: Extracting #4: cost 10 inf + 607 * * [misc]simplify: Extracting #5: cost 1 inf + 1357 * * [misc]simplify: Extracting #6: cost 0 inf + 1491 * [exit]simplify: Simplified to (- (exp (* (* f PI) 1/4)) (exp (* (* f PI) -1/4))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (* f PI) 1/4)) (exp (* (* f PI) -1/4)))))))) * * * * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 242 * * [misc]simplify: Extracting #5: cost 0 inf + 1365 * [exit]simplify: Simplified to (- (exp (* (* f PI) 1/4)) (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)))) (- (exp (* (* f PI) 1/4)) (exp (* (* -1/4 f) PI)))))))) * * * * [misc]progress: [ 194 / 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 (305 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 84 inf + 0 * * [misc]simplify: Extracting #2: cost 155 inf + 310 * * [misc]simplify: Extracting #3: cost 130 inf + 2566 * * [misc]simplify: Extracting #4: cost 49 inf + 35387 * * [misc]simplify: Extracting #5: cost 1 inf + 66226 * * [misc]simplify: Extracting #6: cost 0 inf + 66529 * [exit]simplify: Simplified to (fma (pow f 4) (* (pow PI 4) -7/23040) (fma (* (* f PI) (* f PI)) 1/48 (- (log (/ 4 PI)) (log f)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (fma (pow f 4) (* (pow PI 4) -7/23040) (fma (* (* f PI) (* f PI)) 1/48 (- (log (/ 4 PI)) (log f))))))) * * * * [misc]progress: [ 195 / 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 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 26 inf + 2 * * [misc]simplify: Extracting #6: cost 19 inf + 131 * * [misc]simplify: Extracting #7: cost 5 inf + 1945 * * [misc]simplify: Extracting #8: cost 2 inf + 3157 * * [misc]simplify: Extracting #9: cost 0 inf + 4075 * [exit]simplify: Simplified to (log (/ (+ (exp (* (* f PI) 1/4)) (exp (* PI (* f -1/4)))) (- (exp (* (* f PI) 1/4)) (exp (* PI (* f -1/4)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (* f PI) 1/4)) (exp (* PI (* f -1/4)))) (- (exp (* (* f PI) 1/4)) (exp (* PI (* f -1/4))))))))) * * * * [misc]progress: [ 196 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 242 * * [misc]simplify: Extracting #7: cost 9 inf + 915 * * [misc]simplify: Extracting #8: cost 1 inf + 4605 * * [misc]simplify: Extracting #9: cost 0 inf + 4079 * * [misc]simplify: Extracting #10: cost 0 inf + 3909 * [exit]simplify: Simplified to (log (/ (+ (exp (* (* f PI) -1/4)) (exp (* f (* 1/4 PI)))) (- (exp (* f (* 1/4 PI))) (exp (* (* f PI) -1/4))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (* f PI) -1/4)) (exp (* f (* 1/4 PI)))) (- (exp (* f (* 1/4 PI))) (exp (* (* f PI) -1/4)))))))) * * * * [misc]progress: [ 197 / 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 (119 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 38 inf + 0 * * [misc]simplify: Extracting #2: cost 130 inf + 170 * * [misc]simplify: Extracting #3: cost 69 inf + 9571 * * [misc]simplify: Extracting #4: cost 3 inf + 20190 * * [misc]simplify: Extracting #5: cost 0 inf + 19082 * * [misc]simplify: Extracting #6: cost 0 inf + 18922 * [exit]simplify: Simplified to (fma 1/12 (* PI f) (fma -1/2880 (* (* (* PI (* PI f)) f) (* PI f)) (/ (/ 4 PI) f))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (fma 1/12 (* PI f) (fma -1/2880 (* (* (* PI (* PI f)) f) (* PI f)) (/ (/ 4 PI) f))))))) * * * * [misc]progress: [ 198 / 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 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 2 * * [misc]simplify: Extracting #5: cost 14 inf + 202 * * [misc]simplify: Extracting #6: cost 2 inf + 1531 * * [misc]simplify: Extracting #7: cost 1 inf + 1875 * * [misc]simplify: Extracting #8: cost 0 inf + 2299 * [exit]simplify: Simplified to (/ (+ (exp (* (* f PI) 1/4)) (exp (* (* -1/4 f) PI))) (- (exp (* (* f PI) 1/4)) (exp (* (* -1/4 f) PI)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (* f PI) 1/4)) (exp (* (* -1/4 f) PI))) (- (exp (* (* f PI) 1/4)) (exp (* (* -1/4 f) PI)))))))) * * * * [misc]progress: [ 199 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 284 * * [misc]simplify: Extracting #6: cost 3 inf + 1172 * * [misc]simplify: Extracting #7: cost 0 inf + 2133 * [exit]simplify: Simplified to (/ (+ (exp (* (* f PI) -1/4)) (exp (* f (* 1/4 PI)))) (- (exp (* f (* 1/4 PI))) (exp (* (* f PI) -1/4)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (* f PI) -1/4)) (exp (* f (* 1/4 PI)))) (- (exp (* f (* 1/4 PI))) (exp (* (* f PI) -1/4)))))))) * * * * [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 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 66 inf + 0 * * [misc]simplify: Extracting #2: cost 106 inf + 724 * * [misc]simplify: Extracting #3: cost 50 inf + 12626 * * [misc]simplify: Extracting #4: cost 4 inf + 27634 * * [misc]simplify: Extracting #5: cost 0 inf + 28621 * [exit]simplify: Simplified to (+ (* (fma (* f 1/12) f (* (* PI PI) (* (pow f 4) -7/5760))) PI) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (* (fma (* f 1/12) f (* (* PI PI) (* (pow f 4) -7/5760))) PI) (* (/ 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 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 2 * * [misc]simplify: Extracting #3: cost 25 inf + 87 * * [misc]simplify: Extracting #4: cost 32 inf + 169 * * [misc]simplify: Extracting #5: cost 41 inf + 170 * * [misc]simplify: Extracting #6: cost 30 inf + 658 * * [misc]simplify: Extracting #7: cost 21 inf + 1699 * * [misc]simplify: Extracting #8: cost 10 inf + 6876 * * [misc]simplify: Extracting #9: cost 1 inf + 11127 * * [misc]simplify: Extracting #10: cost 0 inf + 11621 * [exit]simplify: Simplified to (* (log (/ (+ (exp (* (* PI f) -1/4)) (exp (* (* f 1/4) PI))) (- (exp (* (* f 1/4) PI)) (exp (* (* PI f) -1/4))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (* (log (/ (+ (exp (* (* PI f) -1/4)) (exp (* (* f 1/4) PI))) (- (exp (* (* f 1/4) PI)) (exp (* (* PI f) -1/4))))) (/ 4 PI)))) * * * * [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 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 2 * * [misc]simplify: Extracting #3: cost 24 inf + 169 * * [misc]simplify: Extracting #4: cost 30 inf + 169 * * [misc]simplify: Extracting #5: cost 37 inf + 169 * * [misc]simplify: Extracting #6: cost 29 inf + 464 * * [misc]simplify: Extracting #7: cost 16 inf + 3846 * * [misc]simplify: Extracting #8: cost 8 inf + 7419 * * [misc]simplify: Extracting #9: cost 0 inf + 11455 * [exit]simplify: Simplified to (* 4 (/ (log (/ (+ (exp (* f (* PI -1/4))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* f (* PI -1/4)))))) PI)) * [misc]simplify: Simplified (2 1) to (λ (f) (- (* 4 (/ (log (/ (+ (exp (* f (* PI -1/4))) (exp (* 1/4 (* PI f)))) (- (exp (* 1/4 (* PI f))) (exp (* f (* PI -1/4)))))) 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 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* 1/12 (* f PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) f) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (/ 1 (/ 1 f))) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (* -1/12 PI) into (* -1/12 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/12 PI) (/ 1 (/ 1 (- f)))) into (* 1/12 (* f PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 PI))) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 PI))) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (/ 4 PI)) (log f))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 4 (/ 1 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 4 (/ 1 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (* 4 (/ 1 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (* 4 (/ 1 PI)) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))) into (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) into (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 2) into (/ -240 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 960 (/ 1 (pow PI 3)))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 1/2880 (pow PI 3))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4 (/ 1 PI))) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 24) into (/ -40320 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (- (* 161280 (/ 1 (pow PI 5)))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 161280 (/ 1 (pow PI 5)))) (pow (/ 1 f) 4)) (+ (* (- (* 960 (/ 1 (pow PI 3)))) (pow (/ 1 f) 2)) (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log (/ 1 f)))) PI)))) into (- (* 4 (/ (log (- (* 1/2880 (pow PI 3)))) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (+ (* 960 (/ 1 (* (pow PI 3) (pow f 2)))) (* 12 (/ (log (/ 1 f)) PI))))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) into (* -1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) into (* -1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))) into (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) into (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (* -1 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (+ (* -1/12 PI) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/12 PI)) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 2) into (/ -240 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 960 (/ 1 (pow PI 3)))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ -1 PI)) into (/ -4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ -4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 PI))) 0) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2880 (pow PI 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4 (/ 1 PI)))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 24) into (/ -40320 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (- (* 161280 (/ 1 (pow PI 5)))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 161280 (/ 1 (pow PI 5)))) (pow (/ 1 (- f)) 4)) (+ (* (- (* 960 (/ 1 (pow PI 3)))) (pow (/ 1 (- f)) 2)) (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log (/ 1 (- f))))) PI)))) into (- (* 4 (/ (log (* 1/2880 (pow PI 3))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (* 960 (/ 1 (* (pow PI 3) (pow f 2))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 1 f)) into (/ 1 (* f PI)) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 1 f)) into (/ 1 (* f PI)) * [misc]approximate: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 PI) (/ 1 (- f))) into (/ 1 (* f PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 3 * * [misc]simplify: Extracting #3: cost 51 inf + 129 * * [misc]simplify: Extracting #4: cost 152 inf + 587 * * [misc]simplify: Extracting #5: cost 69 inf + 14929 * * [misc]simplify: Extracting #6: cost 0 inf + 27702 * * [misc]simplify: Extracting #7: cost 0 inf + 26735 * * [misc]simplify: Extracting #8: cost 0 inf + 26695 * [exit]simplify: Simplified to (* (/ 4 PI) (log (fma (* (* (* f PI) f) (* PI (* f PI))) -1/2880 (fma (* f PI) 1/12 (/ (/ 4 PI) f))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (* (/ 4 PI) (log (fma (* (* (* f PI) f) (* PI (* f PI))) -1/2880 (fma (* f PI) 1/12 (/ (/ 4 PI) f))))) 1))) * * * * [misc]progress: [ 27 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (/ PI 4))) (log (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 184 * * [misc]simplify: Extracting #4: cost 43 inf + 813 * * [misc]simplify: Extracting #5: cost 138 inf + 1091 * * [misc]simplify: Extracting #6: cost 70 inf + 10284 * * [misc]simplify: Extracting #7: cost 8 inf + 20453 * * [misc]simplify: Extracting #8: cost 0 inf + 23365 * * [misc]simplify: Extracting #9: cost 0 inf + 23310 * * [misc]simplify: Extracting #10: cost 0 inf + 23270 * [exit]simplify: Simplified to (- (log (log (fma -1/2880 (* (* PI f) (* f (* PI (* PI f)))) (fma 1/12 (* PI f) (/ 4 (* PI f)))))) (log (/ PI 4))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (- (log (log (fma -1/2880 (* (* PI f) (* f (* PI (* PI f)))) (fma 1/12 (* PI f) (/ 4 (* PI f)))))) (log (/ PI 4)))))) * * * * [misc]progress: [ 29 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (/ PI 4))) (log (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (349 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 327 * * [misc]simplify: Extracting #4: cost 55 inf + 662 * * [misc]simplify: Extracting #5: cost 146 inf + 1484 * * [misc]simplify: Extracting #6: cost 65 inf + 12691 * * [misc]simplify: Extracting #7: cost 7 inf + 24491 * * [misc]simplify: Extracting #8: cost 0 inf + 27829 * * [misc]simplify: Extracting #9: cost 0 inf + 27589 * [exit]simplify: Simplified to (+ (log (log (fma (* f (* (* (* PI f) PI) (* PI f))) -1/2880 (fma (* PI f) 1/12 (/ 4 (* PI f)))))) (log (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (+ (log (log (fma (* f (* (* (* PI f) PI) (* PI f))) -1/2880 (fma (* PI f) 1/12 (/ 4 (* PI f)))))) (log (/ 4 PI)))))) * * * * [misc]progress: [ 30 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (/ PI 4)) (/ 1 (/ PI 4))) (/ 1 (/ PI 4))) (* (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 2 * * [misc]simplify: Extracting #3: cost 94 inf + 5 * * [misc]simplify: Extracting #4: cost 119 inf + 1038 * * [misc]simplify: Extracting #5: cost 58 inf + 11543 * * [misc]simplify: Extracting #6: cost 5 inf + 29676 * * [misc]simplify: Extracting #7: cost 0 inf + 32228 * [exit]simplify: Simplified to (* (* (/ 4 PI) (log (fma -1/2880 (* (* (* PI (* PI PI)) f) (* f f)) (fma 1/12 (* f PI) (/ (/ 4 PI) f))))) (* (* (* (/ 4 PI) (/ 4 PI)) (log (fma -1/2880 (* (* (* PI (* PI PI)) f) (* f f)) (fma 1/12 (* f PI) (/ (/ 4 PI) f))))) (log (fma -1/2880 (* (* (* PI (* PI PI)) f) (* f f)) (fma 1/12 (* f PI) (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (/ 4 PI) (log (fma -1/2880 (* (* (* PI (* PI PI)) f) (* f f)) (fma 1/12 (* f PI) (/ (/ 4 PI) f))))) (* (* (* (/ 4 PI) (/ 4 PI)) (log (fma -1/2880 (* (* (* PI (* PI PI)) f) (* f f)) (fma 1/12 (* f PI) (/ (/ 4 PI) f))))) (log (fma -1/2880 (* (* (* PI (* PI PI)) f) (* f f)) (fma 1/12 (* f PI) (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 33 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 45 * * [misc]simplify: Extracting #3: cost 14 inf + 294 * * [misc]simplify: Extracting #4: cost 49 inf + 294 * * [misc]simplify: Extracting #5: cost 146 inf + 506 * * [misc]simplify: Extracting #6: cost 64 inf + 12765 * * [misc]simplify: Extracting #7: cost 0 inf + 26684 * [exit]simplify: Simplified to (/ (log (cbrt (fma (* -1/2880 (* (* f PI) (* (* f PI) f))) PI (fma (* f PI) 1/12 (/ 4 (* f PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (/ (log (cbrt (fma (* -1/2880 (* (* f PI) (* (* f PI) f))) PI (fma (* f PI) 1/12 (/ 4 (* f PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 38 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 45 * * [misc]simplify: Extracting #3: cost 14 inf + 294 * * [misc]simplify: Extracting #4: cost 49 inf + 294 * * [misc]simplify: Extracting #5: cost 146 inf + 506 * * [misc]simplify: Extracting #6: cost 64 inf + 12725 * * [misc]simplify: Extracting #7: cost 0 inf + 26164 * [exit]simplify: Simplified to (/ (log (sqrt (fma (* -1/2880 (* (* f PI) (* (* f PI) f))) PI (fma (* f PI) 1/12 (/ 4 (* f PI)))))) (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (/ (log (sqrt (fma (* -1/2880 (* (* f PI) (* (* f PI) f))) PI (fma (* f PI) 1/12 (/ 4 (* f PI)))))) (/ PI 4))))) * * * * [misc]progress: [ 39 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 3 * * [misc]simplify: Extracting #3: cost 51 inf + 129 * * [misc]simplify: Extracting #4: cost 152 inf + 587 * * [misc]simplify: Extracting #5: cost 69 inf + 14929 * * [misc]simplify: Extracting #6: cost 0 inf + 27702 * * [misc]simplify: Extracting #7: cost 0 inf + 26735 * * [misc]simplify: Extracting #8: cost 0 inf + 26695 * [exit]simplify: Simplified to (* (/ 4 PI) (log (fma (* (* (* f PI) f) (* PI (* f PI))) -1/2880 (fma (* f PI) 1/12 (/ (/ 4 PI) f))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (/ 1 (/ PI 4)) (log 1)) (* (/ 4 PI) (log (fma (* (* (* f PI) f) (* PI (* f PI))) -1/2880 (fma (* f PI) 1/12 (/ (/ 4 PI) f)))))))) * * * * [misc]progress: [ 40 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 129 * * [misc]simplify: Extracting #3: cost 9 inf + 335 * * [misc]simplify: Extracting #4: cost 44 inf + 335 * * [misc]simplify: Extracting #5: cost 133 inf + 787 * * [misc]simplify: Extracting #6: cost 72 inf + 9734 * * [misc]simplify: Extracting #7: cost 5 inf + 21927 * * [misc]simplify: Extracting #8: cost 0 inf + 24382 * * [misc]simplify: Extracting #9: cost 0 inf + 24182 * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (fma (* PI f) 1/12 (fma (* (* f (* PI (* PI f))) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (cbrt (fma (* PI f) 1/12 (fma (* (* f (* PI (* PI f))) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 41 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 129 * * [misc]simplify: Extracting #3: cost 9 inf + 335 * * [misc]simplify: Extracting #4: cost 44 inf + 335 * * [misc]simplify: Extracting #5: cost 133 inf + 787 * * [misc]simplify: Extracting #6: cost 72 inf + 9734 * * [misc]simplify: Extracting #7: cost 5 inf + 21807 * * [misc]simplify: Extracting #8: cost 0 inf + 24062 * * [misc]simplify: Extracting #9: cost 0 inf + 23862 * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* f (* PI (* PI f))) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (/ 1 (/ PI 4))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* f (* PI (* PI f))) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 42 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 127 * * [misc]simplify: Extracting #3: cost 43 inf + 335 * * [misc]simplify: Extracting #4: cost 137 inf + 665 * * [misc]simplify: Extracting #5: cost 80 inf + 8872 * * [misc]simplify: Extracting #6: cost 8 inf + 20929 * * [misc]simplify: Extracting #7: cost 1 inf + 23409 * * [misc]simplify: Extracting #8: cost 0 inf + 23754 * * [misc]simplify: Extracting #9: cost 0 inf + 23714 * [exit]simplify: Simplified to (* (log (fma 1/12 (* PI f) (fma -1/2880 (* (* (* PI f) (* (* PI f) f)) PI) (/ (/ 4 PI) f)))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (log 1) (/ 1 (/ PI 4))) (* (log (fma 1/12 (* PI f) (fma -1/2880 (* (* (* PI f) (* (* PI f) f)) PI) (/ (/ 4 PI) f)))) (/ 4 PI))))) * * * * [misc]progress: [ 43 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 0 * * [misc]simplify: Extracting #3: cost 134 inf + 47 * * [misc]simplify: Extracting #4: cost 82 inf + 9697 * * [misc]simplify: Extracting #5: cost 7 inf + 19787 * * [misc]simplify: Extracting #6: cost 0 inf + 20165 * * [misc]simplify: Extracting #7: cost 0 inf + 19870 * [exit]simplify: Simplified to (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI)))))) * * * * [misc]progress: [ 44 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 139 inf + 47 * * [misc]simplify: Extracting #5: cost 81 inf + 8861 * * [misc]simplify: Extracting #6: cost 5 inf + 20730 * * [misc]simplify: Extracting #7: cost 0 inf + 21330 * * [misc]simplify: Extracting #8: cost 0 inf + 21225 * [exit]simplify: Simplified to (cbrt (log (fma (* PI f) 1/12 (fma (* (* PI f) (* PI (* (* PI f) f))) -1/2880 (/ (/ 4 f) PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (* (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (cbrt (log (fma (* PI f) 1/12 (fma (* (* PI f) (* PI (* (* PI f) f))) -1/2880 (/ (/ 4 f) PI)))))))) * * * * [misc]progress: [ 45 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 139 inf + 47 * * [misc]simplify: Extracting #5: cost 81 inf + 8861 * * [misc]simplify: Extracting #6: cost 5 inf + 20730 * * [misc]simplify: Extracting #7: cost 0 inf + 21290 * * [misc]simplify: Extracting #8: cost 0 inf + 21185 * [exit]simplify: Simplified to (sqrt (log (fma (* PI f) 1/12 (fma (* (* PI f) (* PI (* (* PI f) f))) -1/2880 (/ (/ 4 f) PI))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) (sqrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (log (fma (* PI f) 1/12 (fma (* (* PI f) (* PI (* (* PI f) f))) -1/2880 (/ (/ 4 f) PI)))))))) * * * * [misc]progress: [ 46 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 0 * * [misc]simplify: Extracting #3: cost 134 inf + 47 * * [misc]simplify: Extracting #4: cost 82 inf + 9697 * * [misc]simplify: Extracting #5: cost 7 inf + 19787 * * [misc]simplify: Extracting #6: cost 0 inf + 20165 * * [misc]simplify: Extracting #7: cost 0 inf + 19870 * [exit]simplify: Simplified to (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (/ 1 (/ PI 4)) 1) (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI)))))) * * * * [misc]progress: [ 47 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 1 inf + 371 * * [misc]simplify: Extracting #5: cost 0 inf + 413 * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 48 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 1 inf + 169 * * [misc]simplify: Extracting #4: cost 0 inf + 211 * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 49 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ 1 PI) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (/ 1 PI) (* 4 (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 52 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 1 * * [misc]simplify: Extracting #3: cost 127 inf + 423 * * [misc]simplify: Extracting #4: cost 53 inf + 12997 * * [misc]simplify: Extracting #5: cost 2 inf + 19580 * * [misc]simplify: Extracting #6: cost 0 inf + 19348 * [exit]simplify: Simplified to (log (fma (* (* (* (* f PI) f) (* f PI)) PI) -1/2880 (fma (* f PI) 1/12 (/ 4 (* f PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (log (fma (* (* (* (* f PI) f) (* f PI)) PI) -1/2880 (fma (* f PI) 1/12 (/ 4 (* f PI))))) (/ PI 4)))) * * * * [misc]progress: [ 53 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2 1 1 2 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (pow (* PI f) -1))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 58 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 79 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 79 ] 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 (119 enodes) * * [misc]simplify: iters left: 3 (301 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 38 inf + 0 * * [misc]simplify: Extracting #2: cost 130 inf + 170 * * [misc]simplify: Extracting #3: cost 69 inf + 9571 * * [misc]simplify: Extracting #4: cost 3 inf + 20190 * * [misc]simplify: Extracting #5: cost 0 inf + 19082 * * [misc]simplify: Extracting #6: cost 0 inf + 18922 * [exit]simplify: Simplified to (fma 1/12 (* PI f) (fma -1/2880 (* (* (* PI (* PI f)) f) (* PI f)) (/ (/ 4 PI) f))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (fma 1/12 (* PI f) (fma -1/2880 (* (* (* PI (* PI f)) f) (* PI f)) (/ (/ 4 PI) f))))))) * * * * [misc]progress: [ 71 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 72 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 73 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 74 / 79 ] 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 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 66 inf + 0 * * [misc]simplify: Extracting #2: cost 106 inf + 724 * * [misc]simplify: Extracting #3: cost 50 inf + 12626 * * [misc]simplify: Extracting #4: cost 4 inf + 27634 * * [misc]simplify: Extracting #5: cost 0 inf + 28621 * [exit]simplify: Simplified to (+ (* (fma (* f 1/12) f (* (* PI PI) (* (pow f 4) -7/5760))) PI) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (* (fma (* f 1/12) f (* (* PI PI) (* (pow f 4) -7/5760))) PI) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 75 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (- (* 1/2880 (pow PI 3)))) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (+ (* 960 (/ 1 (* (pow PI 3) (pow f 2)))) (* 12 (/ (log (/ 1 f)) PI))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 146 inf + 3 * * [misc]simplify: Extracting #3: cost 160 inf + 1192 * * [misc]simplify: Extracting #4: cost 98 inf + 10696 * * [misc]simplify: Extracting #5: cost 37 inf + 27342 * * [misc]simplify: Extracting #6: cost 4 inf + 43929 * * [misc]simplify: Extracting #7: cost 0 inf + 46471 * * [misc]simplify: Extracting #8: cost 0 inf + 46421 * [exit]simplify: Simplified to (fma 4 (/ (log (* (* (* PI PI) PI) -1/2880)) PI) (fma (/ (log f) PI) 12 (- (/ -161280 (* (pow PI 5) (pow f 4))) (/ 960 (* (* (* PI f) (* PI f)) PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (fma 4 (/ (log (* (* (* PI PI) PI) -1/2880)) PI) (fma (/ (log f) PI) 12 (- (/ -161280 (* (pow PI 5) (pow f 4))) (/ 960 (* (* (* PI f) (* PI f)) PI))))))) * * * * [misc]progress: [ 76 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (* 1/2880 (pow PI 3))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (* 960 (/ 1 (* (pow PI 3) (pow f 2))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 138 inf + 3 * * [misc]simplify: Extracting #3: cost 168 inf + 391 * * [misc]simplify: Extracting #4: cost 112 inf + 9391 * * [misc]simplify: Extracting #5: cost 52 inf + 20637 * * [misc]simplify: Extracting #6: cost 24 inf + 27280 * * [misc]simplify: Extracting #7: cost 4 inf + 41306 * * [misc]simplify: Extracting #8: cost 0 inf + 45087 * [exit]simplify: Simplified to (+ (fma (/ 4 PI) (log (* (* PI PI) (* PI 1/2880))) (fma -12 (/ (log (/ -1 f)) PI) (/ -960 (* (* PI (* f PI)) (* f PI))))) (/ -161280 (* (pow PI 5) (pow f 4)))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (fma (/ 4 PI) (log (* (* PI PI) (* PI 1/2880))) (fma -12 (/ (log (/ -1 f)) PI) (/ -960 (* (* PI (* f PI)) (* f PI))))) (/ -161280 (* (pow PI 5) (pow f 4)))))) * * * * [misc]progress: [ 77 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 170 * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 78 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 170 * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * * [misc]progress: [ 79 / 79 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 170 * [exit]simplify: Simplified to (/ 1 (* PI f)) * [misc]simplify: Simplified (2 1 2 1 1 2 2) to (λ (f) (- (* (/ 1 (/ PI 4)) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* 1/12 (* f PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) f) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (/ 1 (/ 1 f))) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (* -1/12 PI) into (* -1/12 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/12 PI) (/ 1 (/ 1 (- f)))) into (* 1/12 (* f PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 PI))) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 PI))) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log (/ 4 PI)) (log f))) into (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI))))) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) into (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 4 (/ 1 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/24 (sqrt (pow PI 3))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (* 1/24 (sqrt (pow PI 3)))) (+ (* 0 0) (* 0 (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI))))))) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (* 1/24 (sqrt (pow PI 3)))) (+ (* 0 0) (* 0 (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 4 (/ 1 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (* 4 (/ 1 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (* 4 (/ 1 PI)) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/11520 (sqrt (pow PI 7)))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 7/11520 (sqrt (pow PI 7))))) (+ (* 0 0) (+ (* 0 (* 1/24 (sqrt (pow PI 3)))) (+ (* 0 0) (* 0 (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI))))))))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 7/5760 (pow PI 3))) into (- (* 7/5760 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/5760 (pow PI 3))) (pow f 4)) (+ (* (* 1/12 PI) (pow f 2)) (* 4 (/ (- (log (/ 4 PI)) (log f)) PI)))) into (- (+ (* 4 (/ (log (/ 4 PI)) PI)) (* 1/12 (* (pow f 2) PI))) (+ (* 4 (/ (log f) PI)) (* 7/5760 (* (pow f 4) (pow PI 3))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))) into (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI))))) into (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) into (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 2) into (/ -240 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))) into (- (* 480 (sqrt (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI))))))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 960 (/ 1 (pow PI 3)))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 1/2880 (pow PI 3))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4 (/ 1 PI))) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 24) into (/ -40320 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))))) into (- (* 80640 (sqrt (/ 1 (pow PI 9))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 80640 (sqrt (/ 1 (pow PI 9)))))) (+ (* 0 0) (+ (* 0 (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI))))))))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (- (* 161280 (/ 1 (pow PI 5)))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 161280 (/ 1 (pow PI 5)))) (pow (/ 1 f) 4)) (+ (* (- (* 960 (/ 1 (pow PI 3)))) (pow (/ 1 f) 2)) (* 4 (/ (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log (/ 1 f)))) PI)))) into (- (* 4 (/ (log (- (* 1/2880 (pow PI 3)))) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (+ (* 960 (/ 1 (* (pow PI 3) (pow f 2)))) (* 12 (/ (log (/ 1 f)) PI))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) into (* -1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 4 PI)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) into (* -1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))) into (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI))))) into (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) into (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (* -1 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (+ (* -1/12 PI) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/12 PI)) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 2) into (/ -240 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))) into (- (* 480 (sqrt (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI))))))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- (* 960 (/ 1 (pow PI 3)))) into (- (* 960 (/ 1 (pow PI 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ -1 PI)) into (/ -4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ -4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 PI))) 0) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2880 (pow PI 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4 (/ 1 PI)))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 24) into (/ -40320 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))))) into (- (* 80640 (sqrt (/ 1 (pow PI 9))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (- (* 80640 (sqrt (/ 1 (pow PI 9)))))) (+ (* 0 0) (+ (* 0 (- (* 480 (sqrt (/ 1 (pow PI 5)))))) (+ (* 0 0) (* 0 (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI))))))))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (- (* 161280 (/ 1 (pow PI 5)))) into (- (* 161280 (/ 1 (pow PI 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 161280 (/ 1 (pow PI 5)))) (pow (/ 1 (- f)) 4)) (+ (* (- (* 960 (/ 1 (pow PI 3)))) (pow (/ 1 (- f)) 2)) (* 4 (/ (- (log (* 1/2880 (pow PI 3))) (* 3 (log (/ 1 (- f))))) PI)))) into (- (* 4 (/ (log (* 1/2880 (pow PI 3))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (* 960 (/ 1 (* (pow PI 3) (pow f 2))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 PI))) into (log (/ 4 PI)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI f))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow f 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow f 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow f 3) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (log (* 4 (/ 1 PI))) into (log (/ 4 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log (/ 4 PI)) (log f))) into (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))) into (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 4 (/ 1 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (/ 4 PI)) (log f)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 1)))) 2) into (* 1/48 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))) into (* 1/24 (sqrt (pow PI 3))) * [misc]backup-simplify: Simplify (* 1/24 (sqrt (pow PI 3))) into (* 1/24 (sqrt (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 4 (/ 1 PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (* 4 (/ 1 PI)) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (* 4 (/ 1 PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 4 (/ 1 PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/2880 (pow PI 3)))) 1)) (pow (* 4 (/ 1 PI)) 1)))) 24) into (* -7/23040 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (/ 4 PI))) into (- (log (/ 4 PI)) (log f)) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (* -7/23040 (pow PI 4))) (+ (* 0 0) (+ (* 0 (* 1/48 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (/ 4 PI)) (log f))))))) into (- (* 7/11520 (sqrt (pow PI 7)))) * [misc]backup-simplify: Simplify (- (* 7/11520 (sqrt (pow PI 7)))) into (- (* 7/11520 (sqrt (pow PI 7)))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/11520 (sqrt (pow PI 7)))) (pow f 4)) (+ (* (* 1/24 (sqrt (pow PI 3))) (pow f 2)) (* 2 (* (- (log (/ 4 PI)) (log f)) (sqrt (/ 1 PI)))))) into (- (+ (* 1/24 (* (pow f 2) (sqrt (pow PI 3)))) (* 2 (* (log (/ 4 PI)) (sqrt (/ 1 PI))))) (+ (* 7/11520 (* (pow f 4) (sqrt (pow PI 7)))) (* 2 (* (log f) (sqrt (/ 1 PI)))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 f) PI)) (* 4 (/ 1 (* PI (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 f)))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 f) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 f) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 f) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/2880 (pow PI 3)) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/2880 (pow PI 3))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (log (- (* 1/2880 (pow PI 3)))) into (log (- (* 1/2880 (pow PI 3)))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))) into (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))) into (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 2) into (/ -240 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))) into (- (* 480 (sqrt (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- (* 480 (sqrt (/ 1 (pow PI 5))))) into (- (* 480 (sqrt (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 PI)) 0) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- (* 1/2880 (pow PI 3))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/12 PI)) 1)) (pow (- (* 1/2880 (pow PI 3))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/12 PI)) 2)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- (* 1/2880 (pow PI 3))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 4 (/ 1 PI))) 1)) (pow (- (* 1/2880 (pow PI 3))) 1)))) 24) into (/ -40320 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (- (* 1/2880 (pow PI 3))))) into (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log f)))))))) into (- (* 80640 (sqrt (/ 1 (pow PI 9))))) * [misc]backup-simplify: Simplify (- (* 80640 (sqrt (/ 1 (pow PI 9))))) into (- (* 80640 (sqrt (/ 1 (pow PI 9))))) * [misc]backup-simplify: Simplify (+ (* (- (* 80640 (sqrt (/ 1 (pow PI 9))))) (pow (/ 1 f) 4)) (+ (* (- (* 480 (sqrt (/ 1 (pow PI 5))))) (pow (/ 1 f) 2)) (* 2 (* (- (log (- (* 1/2880 (pow PI 3)))) (* 3 (log (/ 1 f)))) (sqrt (/ 1 PI)))))) into (- (* 2 (* (log (- (* 1/2880 (pow PI 3)))) (sqrt (/ 1 PI)))) (+ (* 480 (* (/ 1 (pow f 2)) (sqrt (/ 1 (pow PI 5))))) (+ (* 80640 (* (/ 1 (pow f 4)) (sqrt (/ 1 (pow PI 9))))) (* 6 (* (log (/ 1 f)) (sqrt (/ 1 PI))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) into (* -1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (/ PI 4))) in f * [misc]taylor: Taking taylor expansion of (/ 1 (/ PI 4)) in f * [misc]taylor: Taking taylor expansion of (/ PI 4) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (/ PI 4) into (* 1/4 PI) * [misc]backup-simplify: Simplify (/ 1 (* 1/4 PI)) into (/ 4 PI) * [misc]backup-simplify: Simplify (sqrt (/ 4 PI)) into (* 2 (sqrt (/ 1 PI))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 4 PI)))) into 0 * [misc]taylor: Taking taylor expansion of (log (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))))) in f * [misc]taylor: Taking taylor expansion of (- (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3)))) in f * [misc]taylor: Taking taylor expansion of (+ (* 1/12 (* (/ 1 (- f)) PI)) (* 4 (/ 1 (* PI (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* PI (/ 1 (- f))))) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (* 1/2880 (* (pow (/ 1 (- f)) 3) (pow PI 3))) in f * [misc]taylor: Taking taylor expansion of 1/2880 in f * [misc]backup-simplify: Simplify 1/2880 into 1/2880 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (- f)) 3) (pow PI 3)) in f * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- f)) 3) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow PI 3) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) * [misc]backup-simplify: Simplify (* -1 (pow PI 3)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/2880 (* -1 (pow PI 3))) into (* -1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* -1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* 1/2880 (pow PI 3))) into (log (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (* (* 2 (sqrt (/ 1 PI))) (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))) into (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))) into (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) (sqrt (/ 1 PI)))) * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (* 0 (* -1 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (+ (* -1/12 PI) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/12 PI)) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 2) into (/ -240 (pow PI 2)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))) into (- (* 480 (sqrt (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- (* 480 (sqrt (/ 1 (pow PI 5))))) into (- (* 480 (sqrt (/ 1 (pow PI 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ -1 PI)) into (/ -4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ -4 PI)) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI 3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2880 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (pow PI 3))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 PI))) 0) into (- (* 4 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2880 (pow PI 3)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/12 PI))) 1)) (pow (* 1/2880 (pow PI 3)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/12 PI))) 2)) (pow (* 1/2880 (pow PI 3)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2880 (pow PI 3)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 4 (/ 1 PI)))) 1)) (pow (* 1/2880 (pow PI 3)) 1)))) 24) into (/ -40320 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* (* 1/4 PI) (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)) (* 0 (/ 0 4)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 4 PI) (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))) (* 0 (/ 0 (* 1/4 PI))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* 2 (sqrt (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 3) (log f)) (log (* 1/2880 (pow PI 3)))) into (- (log (* 1/2880 (pow PI 3))) (* 3 (log f))) * [misc]backup-simplify: Simplify (+ (* (* 2 (sqrt (/ 1 PI))) (/ -40320 (pow PI 4))) (+ (* 0 0) (+ (* 0 (/ -240 (pow PI 2))) (+ (* 0 0) (* 0 (- (log (* 1/2880 (pow PI 3))) (* 3 (log f)))))))) into (- (* 80640 (sqrt (/ 1 (pow PI 9))))) * [misc]backup-simplify: Simplify (- (* 80640 (sqrt (/ 1 (pow PI 9))))) into (- (* 80640 (sqrt (/ 1 (pow PI 9))))) * [misc]backup-simplify: Simplify (+ (* (- (* 80640 (sqrt (/ 1 (pow PI 9))))) (pow (/ 1 (- f)) 4)) (+ (* (- (* 480 (sqrt (/ 1 (pow PI 5))))) (pow (/ 1 (- f)) 2)) (* 2 (* (- (log (* 1/2880 (pow PI 3))) (* 3 (log (/ 1 (- f))))) (sqrt (/ 1 PI)))))) into (- (* 2 (* (sqrt (/ 1 PI)) (log (* 1/2880 (pow PI 3))))) (+ (* 480 (* (/ 1 (pow f 2)) (sqrt (/ 1 (pow PI 5))))) (+ (* 80640 (* (/ 1 (pow f 4)) (sqrt (/ 1 (pow PI 9))))) (* 6 (* (log (/ -1 f)) (sqrt (/ 1 PI))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 50 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 7 * * [misc]simplify: Extracting #5: cost 53 inf + 11796 * * [misc]simplify: Extracting #6: cost 3 inf + 20365 * * [misc]simplify: Extracting #7: cost 0 inf + 21397 * [exit]simplify: Simplified to (* (log (fma -1/2880 (* (* PI (* f (* PI f))) (* PI f)) (fma (* PI f) 1/12 (/ 4 (* PI f))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (* (log (fma -1/2880 (* (* PI (* f (* PI f))) (* PI f)) (fma (* PI f) 1/12 (/ 4 (* PI f))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) 1))) * * * * [misc]progress: [ 27 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 50 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 7 * * [misc]simplify: Extracting #5: cost 53 inf + 11796 * * [misc]simplify: Extracting #6: cost 3 inf + 20365 * * [misc]simplify: Extracting #7: cost 0 inf + 21397 * [exit]simplify: Simplified to (* (log (fma -1/2880 (* (* PI (* f (* PI f))) (* PI f)) (fma (* PI f) 1/12 (/ 4 (* PI f))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (pow (* (log (fma -1/2880 (* (* PI (* f (* PI f))) (* PI f)) (fma (* PI f) 1/12 (/ 4 (* PI f))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) 1))) * * * * [misc]progress: [ 28 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 4 PI))) (+ (log (sqrt (/ 1 (/ PI 4)))) (log (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 143 inf + 173 * * [misc]simplify: Extracting #6: cost 90 inf + 6835 * * [misc]simplify: Extracting #7: cost 12 inf + 20442 * * [misc]simplify: Extracting #8: cost 1 inf + 23368 * * [misc]simplify: Extracting #9: cost 0 inf + 23571 * * [misc]simplify: Extracting #10: cost 0 inf + 23330 * [exit]simplify: Simplified to (+ (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))) (log (log (fma -1/2880 (* (* PI (* (* f PI) f)) (* f PI)) (fma (* f PI) 1/12 (/ 4 (* f PI))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (+ (+ (log (sqrt (/ 4 PI))) (log (sqrt (/ 4 PI)))) (log (log (fma -1/2880 (* (* PI (* (* f PI) f)) (* f PI)) (fma (* f PI) 1/12 (/ 4 (* f PI)))))))))) * * * * [misc]progress: [ 30 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 4 PI))) (log (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 54 inf + 0 * * [misc]simplify: Extracting #5: cost 154 inf + 7 * * [misc]simplify: Extracting #6: cost 88 inf + 8412 * * [misc]simplify: Extracting #7: cost 10 inf + 21991 * * [misc]simplify: Extracting #8: cost 0 inf + 24538 * [exit]simplify: Simplified to (+ (log (sqrt (/ 4 PI))) (+ (log (sqrt (/ 4 PI))) (log (log (fma -1/2880 (* PI (* (* f PI) (* f (* f PI)))) (fma (* f PI) 1/12 (/ 4 (* f PI)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (exp (+ (log (sqrt (/ 4 PI))) (+ (log (sqrt (/ 4 PI))) (log (log (fma -1/2880 (* PI (* (* f PI) (* f (* f PI)))) (fma (* f PI) 1/12 (/ 4 (* f PI))))))))))) * * * * [misc]progress: [ 31 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) (* (* (* (sqrt (/ 1 (/ PI 4))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 1 (/ PI 4)))) (* (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 60 inf + 0 * * [misc]simplify: Extracting #2: cost 154 inf + 2 * * [misc]simplify: Extracting #3: cost 171 inf + 212 * * [misc]simplify: Extracting #4: cost 181 inf + 4135 * * [misc]simplify: Extracting #5: cost 135 inf + 13884 * * [misc]simplify: Extracting #6: cost 106 inf + 17008 * * [misc]simplify: Extracting #7: cost 33 inf + 64997 * * [misc]simplify: Extracting #8: cost 0 inf + 84363 * * [misc]simplify: Extracting #9: cost 0 inf + 84232 * [exit]simplify: Simplified to (* (* (log (fma (* (* (* PI f) (* f f)) (* PI PI)) -1/2880 (fma (* PI f) 1/12 (/ (/ 4 PI) f)))) (* (log (fma (* (* (* PI f) (* f f)) (* PI PI)) -1/2880 (fma (* PI f) 1/12 (/ (/ 4 PI) f)))) (log (fma (* (* (* PI f) (* f f)) (* PI PI)) -1/2880 (fma (* PI f) 1/12 (/ (/ 4 PI) f)))))) (* (* (sqrt (/ 4 PI)) (/ 4 PI)) (* (/ 4 PI) (sqrt (/ 4 PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (log (fma (* (* (* PI f) (* f f)) (* PI PI)) -1/2880 (fma (* PI f) 1/12 (/ (/ 4 PI) f)))) (* (log (fma (* (* (* PI f) (* f f)) (* PI PI)) -1/2880 (fma (* PI f) 1/12 (/ (/ 4 PI) f)))) (log (fma (* (* (* PI f) (* f f)) (* PI PI)) -1/2880 (fma (* PI f) 1/12 (/ (/ 4 PI) f)))))) (* (* (sqrt (/ 4 PI)) (/ 4 PI)) (* (/ 4 PI) (sqrt (/ 4 PI)))))))) * * * * [misc]progress: [ 34 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (sqrt (/ 4 PI))) (* (* (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 134 inf + 2 * * [misc]simplify: Extracting #3: cost 151 inf + 130 * * [misc]simplify: Extracting #4: cost 172 inf + 2917 * * [misc]simplify: Extracting #5: cost 132 inf + 9140 * * [misc]simplify: Extracting #6: cost 102 inf + 14059 * * [misc]simplify: Extracting #7: cost 42 inf + 51353 * * [misc]simplify: Extracting #8: cost 1 inf + 76638 * * [misc]simplify: Extracting #9: cost 0 inf + 77252 * [exit]simplify: Simplified to (* (* (* (/ (* (log (fma (* (* (* f PI) (* PI PI)) (* f f)) -1/2880 (fma (* f PI) 1/12 (/ 4 (* f PI))))) 4) PI) (/ (* (log (fma (* (* (* f PI) (* PI PI)) (* f f)) -1/2880 (fma (* f PI) 1/12 (/ 4 (* f PI))))) 4) PI)) (log (fma (* (* (* f PI) (* PI PI)) (* f f)) -1/2880 (fma (* f PI) 1/12 (/ 4 (* f PI)))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (cbrt (* (* (* (/ (* (log (fma (* (* (* f PI) (* PI PI)) (* f f)) -1/2880 (fma (* f PI) 1/12 (/ 4 (* f PI))))) 4) PI) (/ (* (log (fma (* (* (* f PI) (* PI PI)) (* f f)) -1/2880 (fma (* f PI) 1/12 (/ 4 (* f PI))))) 4) PI)) (log (fma (* (* (* f PI) (* PI PI)) (* f f)) -1/2880 (fma (* f PI) 1/12 (/ 4 (* f PI)))))) (/ 4 PI))))) * * * * [misc]progress: [ 35 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt 1) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 40 inf + 2 * * [misc]simplify: Extracting #4: cost 133 inf + 49 * * [misc]simplify: Extracting #5: cost 70 inf + 8365 * * [misc]simplify: Extracting #6: cost 0 inf + 20774 * [exit]simplify: Simplified to (* (log (fma PI (fma 1/12 f (* (* (* f -1/2880) (* PI (* f f))) PI)) (/ (/ 4 f) PI))) 2) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (* (log (fma PI (fma 1/12 f (* (* (* f -1/2880) (* PI (* f f))) PI)) (/ (/ 4 f) PI))) 2) (* (sqrt PI) (sqrt (/ PI 4)))))) * [enter]simplify: Simplifying (* (sqrt PI) (sqrt (/ PI 4))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 329 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (/ PI 4))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (log (fma PI (fma 1/12 f (* (* (* f -1/2880) (* PI (* f f))) PI)) (/ (/ 4 f) PI))) 2) (* (sqrt PI) (sqrt (/ PI 4)))))) * * * * [misc]progress: [ 39 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 48 inf + 3 * * [misc]simplify: Extracting #5: cost 138 inf + 380 * * [misc]simplify: Extracting #6: cost 65 inf + 10350 * * [misc]simplify: Extracting #7: cost 7 inf + 20149 * * [misc]simplify: Extracting #8: cost 0 inf + 22754 * * [misc]simplify: Extracting #9: cost 0 inf + 22634 * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (* (log (cbrt (fma 1/12 (* PI f) (fma (* (* PI (* f (* PI f))) (* PI f)) -1/2880 (/ (/ 4 f) PI))))) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) (* (sqrt (/ 4 PI)) (* (log (cbrt (fma 1/12 (* PI f) (fma (* (* PI (* f (* PI f))) (* PI f)) -1/2880 (/ (/ 4 f) PI))))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 41 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 48 inf + 3 * * [misc]simplify: Extracting #5: cost 138 inf + 380 * * [misc]simplify: Extracting #6: cost 65 inf + 10350 * * [misc]simplify: Extracting #7: cost 7 inf + 20069 * * [misc]simplify: Extracting #8: cost 0 inf + 22554 * * [misc]simplify: Extracting #9: cost 0 inf + 22434 * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (* (log (sqrt (fma 1/12 (* PI f) (fma (* (* PI (* f (* PI f))) (* PI f)) -1/2880 (/ (/ 4 f) PI))))) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (* (sqrt (/ 4 PI)) (* (log (sqrt (fma 1/12 (* PI f) (fma (* (* PI (* f (* PI f))) (* PI f)) -1/2880 (/ (/ 4 f) PI))))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 42 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 50 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 7 * * [misc]simplify: Extracting #5: cost 53 inf + 11796 * * [misc]simplify: Extracting #6: cost 3 inf + 20365 * * [misc]simplify: Extracting #7: cost 0 inf + 21397 * [exit]simplify: Simplified to (* (log (fma -1/2880 (* (* PI (* f (* PI f))) (* PI f)) (fma (* PI f) 1/12 (/ 4 (* PI f))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log 1))) (* (log (fma -1/2880 (* (* PI (* f (* PI f))) (* PI f)) (fma (* PI f) 1/12 (/ 4 (* PI f))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 43 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 48 inf + 3 * * [misc]simplify: Extracting #5: cost 136 inf + 547 * * [misc]simplify: Extracting #6: cost 53 inf + 13194 * * [misc]simplify: Extracting #7: cost 3 inf + 22686 * * [misc]simplify: Extracting #8: cost 0 inf + 23878 * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (* (log (cbrt (fma -1/2880 (* (* f PI) (* (* f f) (* PI PI))) (fma (* f PI) 1/12 (/ (/ 4 PI) f))))) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 1 (/ PI 4))))) (* (sqrt (/ 4 PI)) (* (log (cbrt (fma -1/2880 (* (* f PI) (* (* f f) (* PI PI))) (fma (* f PI) 1/12 (/ (/ 4 PI) f))))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 44 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 48 inf + 3 * * [misc]simplify: Extracting #5: cost 136 inf + 547 * * [misc]simplify: Extracting #6: cost 53 inf + 13154 * * [misc]simplify: Extracting #7: cost 3 inf + 22526 * * [misc]simplify: Extracting #8: cost 0 inf + 23678 * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (* (log (sqrt (fma -1/2880 (* (* f PI) (* (* f f) (* PI PI))) (fma (* f PI) 1/12 (/ (/ 4 PI) f))))) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4))))) (* (sqrt (/ 4 PI)) (* (log (sqrt (fma -1/2880 (* (* f PI) (* (* f f) (* PI PI))) (fma (* f PI) 1/12 (/ (/ 4 PI) f))))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 45 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 4 PI)) (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (sqrt (/ 1 (/ PI 4))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 50 inf + 0 * * [misc]simplify: Extracting #4: cost 148 inf + 49 * * [misc]simplify: Extracting #5: cost 75 inf + 9270 * * [misc]simplify: Extracting #6: cost 1 inf + 22213 * * [misc]simplify: Extracting #7: cost 0 inf + 22213 * * [misc]simplify: Extracting #8: cost 0 inf + 22173 * [exit]simplify: Simplified to (* (log (fma -1/2880 (* f (* (* (* f PI) PI) (* f PI))) (fma (* f PI) 1/12 (/ 4 (* f PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (sqrt (/ 4 PI)) (* (log 1) (sqrt (/ 1 (/ PI 4))))) (* (log (fma -1/2880 (* f (* (* (* f PI) PI) (* f PI))) (fma (* f PI) 1/12 (/ 4 (* f PI))))) (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 46 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (/ PI 4))) (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 45 * * [misc]simplify: Extracting #4: cost 42 inf + 211 * * [misc]simplify: Extracting #5: cost 138 inf + 458 * * [misc]simplify: Extracting #6: cost 68 inf + 9745 * * [misc]simplify: Extracting #7: cost 10 inf + 19500 * * [misc]simplify: Extracting #8: cost 0 inf + 23180 * * [misc]simplify: Extracting #9: cost 0 inf + 23020 * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (cbrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 47 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (336 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 45 * * [misc]simplify: Extracting #4: cost 42 inf + 211 * * [misc]simplify: Extracting #5: cost 138 inf + 458 * * [misc]simplify: Extracting #6: cost 68 inf + 9745 * * [misc]simplify: Extracting #7: cost 10 inf + 19420 * * [misc]simplify: Extracting #8: cost 0 inf + 22940 * * [misc]simplify: Extracting #9: cost 0 inf + 22780 * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 48 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 44 inf + 45 * * [misc]simplify: Extracting #4: cost 136 inf + 580 * * [misc]simplify: Extracting #5: cost 62 inf + 11079 * * [misc]simplify: Extracting #6: cost 2 inf + 20999 * * [misc]simplify: Extracting #7: cost 0 inf + 21666 * * [misc]simplify: Extracting #8: cost 0 inf + 21586 * [exit]simplify: Simplified to (* (log (fma 1/12 (* PI f) (fma -1/2880 (* (* (* PI f) PI) (* f (* PI f))) (/ (/ 4 PI) f)))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log 1)) (sqrt (/ 4 PI))) (* (log (fma 1/12 (* PI f) (fma -1/2880 (* (* (* PI f) PI) (* f (* PI f))) (/ (/ 4 PI) f)))) (/ 4 PI))))) * * * * [misc]progress: [ 49 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 87 * * [misc]simplify: Extracting #5: cost 137 inf + 788 * * [misc]simplify: Extracting #6: cost 68 inf + 11641 * * [misc]simplify: Extracting #7: cost 7 inf + 21037 * * [misc]simplify: Extracting #8: cost 2 inf + 22366 * * [misc]simplify: Extracting #9: cost 0 inf + 23496 * * [misc]simplify: Extracting #10: cost 0 inf + 23321 * * [misc]simplify: Extracting #11: cost 0 inf + 23241 * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (cbrt (fma (* PI f) 1/12 (fma (* (* (* PI f) (* (* PI f) f)) PI) -1/2880 (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (cbrt (fma (* PI f) 1/12 (fma (* (* (* PI f) (* (* PI f) f)) PI) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 50 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (335 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 87 * * [misc]simplify: Extracting #5: cost 137 inf + 788 * * [misc]simplify: Extracting #6: cost 68 inf + 11641 * * [misc]simplify: Extracting #7: cost 7 inf + 20997 * * [misc]simplify: Extracting #8: cost 2 inf + 22246 * * [misc]simplify: Extracting #9: cost 0 inf + 23296 * * [misc]simplify: Extracting #10: cost 0 inf + 23121 * * [misc]simplify: Extracting #11: cost 0 inf + 23041 * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* PI f) (* (* PI f) f)) PI) -1/2880 (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) (* (* (sqrt (/ 4 PI)) (sqrt (/ 4 PI))) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* PI f) (* (* PI f) f)) PI) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 51 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 50 inf + 0 * * [misc]simplify: Extracting #4: cost 138 inf + 459 * * [misc]simplify: Extracting #5: cost 65 inf + 10706 * * [misc]simplify: Extracting #6: cost 3 inf + 21534 * * [misc]simplify: Extracting #7: cost 0 inf + 22084 * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (* (log (fma (* (* (* PI f) (* (* PI f) f)) PI) -1/2880 (fma (* PI f) 1/12 (/ 4 (* PI f))))) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (log 1) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 4 PI))) (* (sqrt (/ 4 PI)) (* (log (fma (* (* (* PI f) (* (* PI f) f)) PI) -1/2880 (fma (* PI f) 1/12 (/ 4 (* PI f))))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 52 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 0 * * [misc]simplify: Extracting #3: cost 134 inf + 47 * * [misc]simplify: Extracting #4: cost 82 inf + 9697 * * [misc]simplify: Extracting #5: cost 7 inf + 19787 * * [misc]simplify: Extracting #6: cost 0 inf + 20165 * * [misc]simplify: Extracting #7: cost 0 inf + 19870 * [exit]simplify: Simplified to (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (* (sqrt (/ 4 PI)) (sqrt (/ 1 (/ PI 4)))) (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI)))))) * * * * [misc]progress: [ 53 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 490 * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (* (cbrt (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) (* (cbrt (sqrt (/ 4 PI))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 54 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 4 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 490 * [exit]simplify: Simplified to (fabs (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (fabs (cbrt (/ 4 PI))) (* (sqrt (cbrt (/ 4 PI))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 55 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 248 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 56 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* 1 (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 57 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 4) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* 2 (* (sqrt (/ 1 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 58 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 4 PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 248 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 59 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 4)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (/ PI 4)) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (/ (* (sqrt (/ 4 PI)) (* (sqrt 1) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ PI 4))))) * * * * [misc]progress: [ 61 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 4) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 49 inf + 1 * * [misc]simplify: Extracting #4: cost 145 inf + 91 * * [misc]simplify: Extracting #5: cost 62 inf + 12027 * * [misc]simplify: Extracting #6: cost 5 inf + 22142 * * [misc]simplify: Extracting #7: cost 0 inf + 22607 * * [misc]simplify: Extracting #8: cost 0 inf + 22477 * [exit]simplify: Simplified to (* (* (sqrt (/ 4 PI)) (log (fma -1/2880 (* (* (* f PI) (* PI (* f PI))) f) (fma 1/12 (* f PI) (/ 4 (* f PI)))))) 2) * [misc]simplify: Simplified (2 1 1) to (λ (f) (- (/ (* (* (sqrt (/ 4 PI)) (log (fma -1/2880 (* (* (* f PI) (* PI (* f PI))) f) (fma 1/12 (* f PI) (/ 4 (* f PI)))))) 2) (sqrt PI)))) * * * * [misc]progress: [ 62 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 45 inf + 0 * * [misc]simplify: Extracting #4: cost 141 inf + 172 * * [misc]simplify: Extracting #5: cost 72 inf + 9679 * * [misc]simplify: Extracting #6: cost 2 inf + 21897 * * [misc]simplify: Extracting #7: cost 0 inf + 22157 * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (fma PI (fma f 1/12 (* (* (* (* f f) f) -1/2880) (* PI PI))) (/ (/ 4 f) PI)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (pow (* (sqrt (/ 4 PI)) (log (fma PI (fma f 1/12 (* (* (* (* f f) f) -1/2880) (* PI PI))) (/ (/ 4 f) PI)))) 1)))) * * * * [misc]progress: [ 66 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ 1 (/ PI 4)))) (log (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 145 inf + 7 * * [misc]simplify: Extracting #6: cost 61 inf + 11853 * * [misc]simplify: Extracting #7: cost 3 inf + 21851 * * [misc]simplify: Extracting #8: cost 0 inf + 22580 * [exit]simplify: Simplified to (+ (log (log (fma (* (* PI PI) (* (* f f) (* f PI))) -1/2880 (fma 1/12 (* f PI) (/ 4 (* f PI)))))) (log (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (exp (+ (log (log (fma (* (* PI PI) (* (* f f) (* f PI))) -1/2880 (fma 1/12 (* f PI) (/ 4 (* f PI)))))) (log (sqrt (/ 4 PI)))))))) * * * * [misc]progress: [ 68 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ 1 (/ PI 4))) (sqrt (/ 1 (/ PI 4)))) (sqrt (/ 1 (/ PI 4)))) (* (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (453 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 56 inf + 0 * * [misc]simplify: Extracting #2: cost 116 inf + 45 * * [misc]simplify: Extracting #3: cost 141 inf + 668 * * [misc]simplify: Extracting #4: cost 232 inf + 2333 * * [misc]simplify: Extracting #5: cost 160 inf + 13376 * * [misc]simplify: Extracting #6: cost 92 inf + 26591 * * [misc]simplify: Extracting #7: cost 8 inf + 78340 * * [misc]simplify: Extracting #8: cost 0 inf + 81002 * * [misc]simplify: Extracting #9: cost 0 inf + 79962 * [exit]simplify: Simplified to (* (* (* (log (fma 1/12 (* PI f) (fma (* (* f (* (* PI PI) f)) (* PI f)) -1/2880 (/ (/ 4 PI) f)))) (log (fma 1/12 (* PI f) (fma (* (* f (* (* PI PI) f)) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (log (fma 1/12 (* PI f) (fma (* (* f (* (* PI PI) f)) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (* (sqrt (/ 4 PI)) (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (cbrt (* (* (* (log (fma 1/12 (* PI f) (fma (* (* f (* (* PI PI) f)) (* PI f)) -1/2880 (/ (/ 4 PI) f)))) (log (fma 1/12 (* PI f) (fma (* (* f (* (* PI PI) f)) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (log (fma 1/12 (* PI f) (fma (* (* f (* (* PI PI) f)) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (* (sqrt (/ 4 PI)) (/ 4 PI))))))) * * * * [misc]progress: [ 71 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (/ PI 4))) (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 41 inf + 87 * * [misc]simplify: Extracting #5: cost 133 inf + 1172 * * [misc]simplify: Extracting #6: cost 48 inf + 13495 * * [misc]simplify: Extracting #7: cost 2 inf + 21127 * * [misc]simplify: Extracting #8: cost 0 inf + 21956 * [exit]simplify: Simplified to (* (log (cbrt (fma (* f (* (* PI f) (* (* PI f) PI))) -1/2880 (fma (* PI f) 1/12 (/ 4 (* PI f)))))) (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (+ (* (sqrt (/ 1 (/ PI 4))) (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (* (log (cbrt (fma (* f (* (* PI f) (* (* PI f) PI))) -1/2880 (fma (* PI f) 1/12 (/ 4 (* PI f)))))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 76 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (324 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 41 inf + 87 * * [misc]simplify: Extracting #5: cost 133 inf + 1172 * * [misc]simplify: Extracting #6: cost 48 inf + 13495 * * [misc]simplify: Extracting #7: cost 2 inf + 21047 * * [misc]simplify: Extracting #8: cost 0 inf + 21836 * [exit]simplify: Simplified to (* (log (sqrt (fma (* f (* (* PI f) (* (* PI f) PI))) -1/2880 (fma (* PI f) 1/12 (/ 4 (* PI f)))))) (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (+ (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (* (log (sqrt (fma (* f (* (* PI f) (* (* PI f) PI))) -1/2880 (fma (* PI f) 1/12 (/ 4 (* PI f)))))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 77 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 45 inf + 0 * * [misc]simplify: Extracting #4: cost 141 inf + 172 * * [misc]simplify: Extracting #5: cost 72 inf + 9679 * * [misc]simplify: Extracting #6: cost 2 inf + 21897 * * [misc]simplify: Extracting #7: cost 0 inf + 22157 * [exit]simplify: Simplified to (* (sqrt (/ 4 PI)) (log (fma PI (fma f 1/12 (* (* (* (* f f) f) -1/2880) (* PI PI))) (/ (/ 4 f) PI)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (+ (* (sqrt (/ 1 (/ PI 4))) (log 1)) (* (sqrt (/ 4 PI)) (log (fma PI (fma f 1/12 (* (* (* (* f f) f) -1/2880) (* PI PI))) (/ (/ 4 f) PI)))))))) * * * * [misc]progress: [ 78 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 3 * * [misc]simplify: Extracting #5: cost 133 inf + 341 * * [misc]simplify: Extracting #6: cost 60 inf + 11467 * * [misc]simplify: Extracting #7: cost 3 inf + 21730 * * [misc]simplify: Extracting #8: cost 0 inf + 22257 * * [misc]simplify: Extracting #9: cost 0 inf + 22177 * [exit]simplify: Simplified to (* (log (cbrt (fma PI (fma f 1/12 (* (* f (* f f)) (* -1/2880 (* PI PI)))) (/ (/ 4 PI) f)))) (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (+ (* (log (* (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (cbrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 1 (/ PI 4)))) (* (log (cbrt (fma PI (fma f 1/12 (* (* f (* f f)) (* -1/2880 (* PI PI)))) (/ (/ 4 PI) f)))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 79 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 3 * * [misc]simplify: Extracting #5: cost 133 inf + 341 * * [misc]simplify: Extracting #6: cost 60 inf + 11427 * * [misc]simplify: Extracting #7: cost 3 inf + 21610 * * [misc]simplify: Extracting #8: cost 0 inf + 22137 * * [misc]simplify: Extracting #9: cost 0 inf + 22057 * [exit]simplify: Simplified to (* (log (sqrt (fma PI (fma f 1/12 (* (* f (* f f)) (* -1/2880 (* PI PI)))) (/ (/ 4 PI) f)))) (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (+ (* (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (sqrt (/ 1 (/ PI 4)))) (* (log (sqrt (fma PI (fma f 1/12 (* (* f (* f f)) (* -1/2880 (* PI PI)))) (/ (/ 4 PI) f)))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 80 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) (sqrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 45 inf + 0 * * [misc]simplify: Extracting #4: cost 137 inf + 132 * * [misc]simplify: Extracting #5: cost 81 inf + 7631 * * [misc]simplify: Extracting #6: cost 1 inf + 21704 * * [misc]simplify: Extracting #7: cost 0 inf + 21867 * [exit]simplify: Simplified to (* (log (fma (* (* PI (* PI PI)) -1/2880) (* (* f f) f) (fma (* PI f) 1/12 (/ 4 (* PI f))))) (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (+ (* (log 1) (sqrt (/ 1 (/ PI 4)))) (* (log (fma (* (* PI (* PI PI)) -1/2880) (* (* f f) f) (fma (* PI f) 1/12 (/ 4 (* PI f))))) (sqrt (/ 4 PI))))))) * * * * [misc]progress: [ 81 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 0 * * [misc]simplify: Extracting #3: cost 134 inf + 47 * * [misc]simplify: Extracting #4: cost 82 inf + 9697 * * [misc]simplify: Extracting #5: cost 7 inf + 19787 * * [misc]simplify: Extracting #6: cost 0 inf + 20165 * * [misc]simplify: Extracting #7: cost 0 inf + 19870 * [exit]simplify: Simplified to (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (* (sqrt (/ 1 (/ PI 4))) 1) (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI))))))) * * * * [misc]progress: [ 82 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 139 inf + 47 * * [misc]simplify: Extracting #5: cost 81 inf + 8861 * * [misc]simplify: Extracting #6: cost 5 inf + 20730 * * [misc]simplify: Extracting #7: cost 0 inf + 21330 * * [misc]simplify: Extracting #8: cost 0 inf + 21225 * [exit]simplify: Simplified to (cbrt (log (fma (* PI f) 1/12 (fma (* (* PI f) (* PI (* (* PI f) f))) -1/2880 (/ (/ 4 f) PI))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (* (sqrt (/ 1 (/ PI 4))) (* (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) (cbrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) (cbrt (log (fma (* PI f) 1/12 (fma (* (* PI f) (* PI (* (* PI f) f))) -1/2880 (/ (/ 4 f) PI))))))))) * * * * [misc]progress: [ 83 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 139 inf + 47 * * [misc]simplify: Extracting #5: cost 81 inf + 8861 * * [misc]simplify: Extracting #6: cost 5 inf + 20730 * * [misc]simplify: Extracting #7: cost 0 inf + 21290 * * [misc]simplify: Extracting #8: cost 0 inf + 21185 * [exit]simplify: Simplified to (sqrt (log (fma (* PI f) 1/12 (fma (* (* PI f) (* PI (* (* PI f) f))) -1/2880 (/ (/ 4 f) PI))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (* (sqrt (/ 1 (/ PI 4))) (sqrt (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (log (fma (* PI f) 1/12 (fma (* (* PI f) (* PI (* (* PI f) f))) -1/2880 (/ (/ 4 f) PI))))))))) * * * * [misc]progress: [ 84 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 0 * * [misc]simplify: Extracting #3: cost 134 inf + 47 * * [misc]simplify: Extracting #4: cost 82 inf + 9697 * * [misc]simplify: Extracting #5: cost 7 inf + 19787 * * [misc]simplify: Extracting #6: cost 0 inf + 20165 * * [misc]simplify: Extracting #7: cost 0 inf + 19870 * [exit]simplify: Simplified to (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (* (sqrt (/ 1 (/ PI 4))) 1) (log (fma PI (fma f 1/12 (* -1/2880 (* (* PI f) (* (* PI f) f)))) (/ (/ 4 f) PI))))))) * * * * [misc]progress: [ 85 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ 1 (/ PI 4)))) (cbrt (sqrt (/ 1 (/ PI 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 1 inf + 533 * * [misc]simplify: Extracting #6: cost 0 inf + 575 * [exit]simplify: Simplified to (* (cbrt (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (* (cbrt (sqrt (/ 4 PI))) (cbrt (sqrt (/ 4 PI)))) (* (cbrt (sqrt (/ 1 (/ PI 4)))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 86 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ 1 (/ PI 4))) (cbrt (/ 1 (/ PI 4))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 1 inf + 533 * * [misc]simplify: Extracting #5: cost 0 inf + 575 * [exit]simplify: Simplified to (fabs (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (fabs (cbrt (/ 4 PI))) (* (sqrt (cbrt (/ 1 (/ PI 4)))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 87 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 1 inf + 291 * * [misc]simplify: Extracting #5: cost 0 inf + 333 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (sqrt (/ 1 (/ PI 4)))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 88 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* 1 (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 89 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* 1 (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 90 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (/ 1 PI)) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 PI)) (* (sqrt 4) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 91 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ 1 (/ PI 4)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 1 inf + 291 * * [misc]simplify: Extracting #5: cost 0 inf + 333 * [exit]simplify: Simplified to (sqrt (sqrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (sqrt (/ 4 PI))) (* (sqrt (sqrt (/ 1 (/ PI 4)))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))))) * * * * [misc]progress: [ 92 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt 1) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (323 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 1 * * [misc]simplify: Extracting #3: cost 136 inf + 257 * * [misc]simplify: Extracting #4: cost 48 inf + 13409 * * [misc]simplify: Extracting #5: cost 2 inf + 20165 * * [misc]simplify: Extracting #6: cost 0 inf + 20449 * [exit]simplify: Simplified to (log (fma -1/2880 (* (* f PI) (* (* (* f PI) f) PI)) (fma (* f PI) 1/12 (/ 4 (* f PI))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (/ (log (fma -1/2880 (* (* f PI) (* (* (* f PI) f) PI)) (fma (* f PI) 1/12 (/ 4 (* f PI))))) (sqrt (/ PI 4)))))) * * * * [misc]progress: [ 94 / 104 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3)))))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 57 inf + 0 * * [misc]simplify: Extracting #4: cost 150 inf + 90 * * [misc]simplify: Extracting #5: cost 85 inf + 8366 * * [misc]simplify: Extracting #6: cost 5 inf + 22497 * * [misc]simplify: Extracting #7: cost 0 inf + 25267 * * [misc]simplify: Extracting #8: cost 0 inf + 24992 * * [misc]simplify: Extracting #9: cost 0 inf + 24867 * [exit]simplify: Simplified to (* (log (fma (* -1/2880 (* (* PI f) (* f (* PI f)))) PI (fma (* PI f) 1/12 (/ (/ 4 f) PI)))) (* (- (sqrt (/ 4 PI))) (sqrt (/ 4 PI)))) * [misc]simplify: Simplified (2) to (λ (f) (* (log (fma (* -1/2880 (* (* PI f) (* f (* PI f)))) PI (fma (* PI f) 1/12 (/ (/ 4 f) PI)))) (* (- (sqrt (/ 4 PI))) (sqrt (/ 4 PI))))) * * * * [misc]progress: [ 96 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 97 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 98 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (f) (- (* (sqrt (/ 4 PI)) (* (sqrt (/ 1 (/ PI 4))) (log (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))))) * * * * [misc]progress: [ 99 / 104 ] 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 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 66 inf + 0 * * [misc]simplify: Extracting #2: cost 106 inf + 724 * * [misc]simplify: Extracting #3: cost 50 inf + 12626 * * [misc]simplify: Extracting #4: cost 4 inf + 27634 * * [misc]simplify: Extracting #5: cost 0 inf + 28621 * [exit]simplify: Simplified to (+ (* (fma (* f 1/12) f (* (* PI PI) (* (pow f 4) -7/5760))) PI) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (* (fma (* f 1/12) f (* (* PI PI) (* (pow f 4) -7/5760))) PI) (* (/ 4 PI) (- (log (/ 4 PI)) (log f)))))) * * * * [misc]progress: [ 100 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (- (* 1/2880 (pow PI 3)))) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (+ (* 960 (/ 1 (* (pow PI 3) (pow f 2)))) (* 12 (/ (log (/ 1 f)) PI))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 146 inf + 3 * * [misc]simplify: Extracting #3: cost 160 inf + 1192 * * [misc]simplify: Extracting #4: cost 98 inf + 10696 * * [misc]simplify: Extracting #5: cost 37 inf + 27342 * * [misc]simplify: Extracting #6: cost 4 inf + 43929 * * [misc]simplify: Extracting #7: cost 0 inf + 46471 * * [misc]simplify: Extracting #8: cost 0 inf + 46421 * [exit]simplify: Simplified to (fma 4 (/ (log (* (* (* PI PI) PI) -1/2880)) PI) (fma (/ (log f) PI) 12 (- (/ -161280 (* (pow PI 5) (pow f 4))) (/ 960 (* (* (* PI f) (* PI f)) PI))))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (fma 4 (/ (log (* (* (* PI PI) PI) -1/2880)) PI) (fma (/ (log f) PI) 12 (- (/ -161280 (* (pow PI 5) (pow f 4))) (/ 960 (* (* (* PI f) (* PI f)) PI))))))) * * * * [misc]progress: [ 101 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (* 1/2880 (pow PI 3))) PI)) (+ (* 12 (/ (log (/ -1 f)) PI)) (+ (* 161280 (/ 1 (* (pow PI 5) (pow f 4)))) (* 960 (/ 1 (* (pow PI 3) (pow f 2))))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 138 inf + 3 * * [misc]simplify: Extracting #3: cost 168 inf + 391 * * [misc]simplify: Extracting #4: cost 112 inf + 9391 * * [misc]simplify: Extracting #5: cost 52 inf + 20637 * * [misc]simplify: Extracting #6: cost 24 inf + 27280 * * [misc]simplify: Extracting #7: cost 4 inf + 41306 * * [misc]simplify: Extracting #8: cost 0 inf + 45087 * [exit]simplify: Simplified to (+ (fma (/ 4 PI) (log (* (* PI PI) (* PI 1/2880))) (fma -12 (/ (log (/ -1 f)) PI) (/ -960 (* (* PI (* f PI)) (* f PI))))) (/ -161280 (* (pow PI 5) (pow f 4)))) * [misc]simplify: Simplified (2 1) to (λ (f) (- (+ (fma (/ 4 PI) (log (* (* PI PI) (* PI 1/2880))) (fma -12 (/ (log (/ -1 f)) PI) (/ -960 (* (* PI (* f PI)) (* f PI))))) (/ -161280 (* (pow PI 5) (pow f 4)))))) * * * * [misc]progress: [ 102 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/24 (* (pow f 2) (sqrt (pow PI 3)))) (* 2 (* (log (/ 4 PI)) (sqrt (/ 1 PI))))) (+ (* 7/11520 (* (pow f 4) (sqrt (pow PI 7)))) (* 2 (* (log f) (sqrt (/ 1 PI)))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 73 inf + 0 * * [misc]simplify: Extracting #2: cost 102 inf + 6 * * [misc]simplify: Extracting #3: cost 103 inf + 638 * * [misc]simplify: Extracting #4: cost 85 inf + 3634 * * [misc]simplify: Extracting #5: cost 51 inf + 14443 * * [misc]simplify: Extracting #6: cost 11 inf + 37139 * * [misc]simplify: Extracting #7: cost 0 inf + 45554 * * [misc]simplify: Extracting #8: cost 0 inf + 45529 * [exit]simplify: Simplified to (fma 1/24 (* (* f f) (sqrt (* PI (* PI PI)))) (fma (* (sqrt (/ 1 PI)) 2) (- (log (/ 4 PI)) (log f)) (* (* (pow f 4) -7/11520) (sqrt (pow PI 7))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (fma 1/24 (* (* f f) (sqrt (* PI (* PI PI)))) (fma (* (sqrt (/ 1 PI)) 2) (- (log (/ 4 PI)) (log f)) (* (* (pow f 4) -7/11520) (sqrt (pow PI 7)))))))) * * * * [misc]progress: [ 103 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (* (log (- (* 1/2880 (pow PI 3)))) (sqrt (/ 1 PI)))) (+ (* 480 (* (/ 1 (pow f 2)) (sqrt (/ 1 (pow PI 5))))) (+ (* 80640 (* (/ 1 (pow f 4)) (sqrt (/ 1 (pow PI 9))))) (* 6 (* (log (/ 1 f)) (sqrt (/ 1 PI))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 115 inf + 1 * * [misc]simplify: Extracting #3: cost 140 inf + 173 * * [misc]simplify: Extracting #4: cost 119 inf + 2353 * * [misc]simplify: Extracting #5: cost 72 inf + 10098 * * [misc]simplify: Extracting #6: cost 40 inf + 18796 * * [misc]simplify: Extracting #7: cost 16 inf + 31987 * * [misc]simplify: Extracting #8: cost 0 inf + 43995 * * [misc]simplify: Extracting #9: cost 0 inf + 43875 * [exit]simplify: Simplified to (- (* (* (log (* -1/2880 (* PI (* PI PI)))) (sqrt (/ 1 PI))) 2) (fma (sqrt (/ 1 (pow PI 5))) (/ 480 (* f f)) (fma (/ 80640 (pow f 4)) (sqrt (/ 1 (pow PI 9))) (* (* -6 (log f)) (sqrt (/ 1 PI)))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (- (* (* (log (* -1/2880 (* PI (* PI PI)))) (sqrt (/ 1 PI))) 2) (fma (sqrt (/ 1 (pow PI 5))) (/ 480 (* f f)) (fma (/ 80640 (pow f 4)) (sqrt (/ 1 (pow PI 9))) (* (* -6 (log f)) (sqrt (/ 1 PI))))))))) * * * * [misc]progress: [ 104 / 104 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (* (sqrt (/ 1 PI)) (log (* 1/2880 (pow PI 3))))) (+ (* 480 (* (/ 1 (pow f 2)) (sqrt (/ 1 (pow PI 5))))) (+ (* 80640 (* (/ 1 (pow f 4)) (sqrt (/ 1 (pow PI 9))))) (* 6 (* (log (/ -1 f)) (sqrt (/ 1 PI))))))) * * [misc]simplify: iters left: 6 (41 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 32 inf + 0 * * [misc]simplify: Extracting #2: cost 116 inf + 1 * * [misc]simplify: Extracting #3: cost 138 inf + 256 * * [misc]simplify: Extracting #4: cost 121 inf + 2031 * * [misc]simplify: Extracting #5: cost 90 inf + 7267 * * [misc]simplify: Extracting #6: cost 51 inf + 17721 * * [misc]simplify: Extracting #7: cost 18 inf + 33234 * * [misc]simplify: Extracting #8: cost 0 inf + 52012 * [exit]simplify: Simplified to (fma (sqrt (/ 1 PI)) (* (log (* (* (* PI PI) PI) 1/2880)) 2) (- (* -480 (/ (sqrt (/ 1 (pow PI 5))) (* f f))) (fma (/ 80640 (pow f 4)) (sqrt (/ 1 (pow PI 9))) (* (log (/ -1 f)) (* 6 (sqrt (/ 1 PI))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (* (sqrt (/ 4 PI)) (fma (sqrt (/ 1 PI)) (* (log (* (* (* PI PI) PI) 1/2880)) 2) (- (* -480 (/ (sqrt (/ 1 (pow PI 5))) (* f f))) (fma (/ 80640 (pow f 4)) (sqrt (/ 1 (pow PI 9))) (* (log (/ -1 f)) (* 6 (sqrt (/ 1 PI)))))))))) * * * [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 1 1 2 1 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2 1 1 3 3) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 2 1 1 2 2 2) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* 1/12 (* f PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* f PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* f PI) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/12 PI) (* 0 0)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) f) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 f) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 f) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (* 1/12 PI) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/12 PI) (/ 1 (/ 1 f))) into (* 1/12 (* f PI)) * [misc]approximate: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* 1/12 (* (/ 1 (- f)) PI)) in f * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) PI) in f * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* 1/12 (* -1 PI)) into (* -1/12 PI) * [misc]backup-simplify: Simplify (* -1/12 PI) into (* -1/12 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (* 0 (* -1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/12 PI) (/ 1 (/ 1 (- f)))) into (* 1/12 (* f PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))) in f * [misc]taylor: Taking taylor expansion of (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) 1/12) (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))) * [misc]taylor: Taking taylor expansion of (* (* PI f) 1/12) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (* f (* PI f)) PI) (* PI f)) -1/2880) (/ (/ 4 PI) f)) * [misc]taylor: Taking taylor expansion of (* (* (* (* f (* PI f)) PI) (* PI f)) -1/2880) in f * [misc]taylor: Taking taylor expansion of (* (* (* f (* PI f)) PI) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* (* f (* PI f)) PI) in f * [misc]taylor: Taking taylor expansion of (* f (* PI f)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -1/2880 in f * [misc]backup-simplify: Simplify -1/2880 into -1/2880 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) f) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking 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 PI) 1) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 PI))) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 4 (/ 1 PI)) (* 2 (sqrt 0))) into (/ +nan.0 PI) * [misc]backup-simplify: Simplify (log (/ +nan.0 PI)) into (log (/ +nan.0 PI)) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))) in f * [misc]taylor: Taking taylor expansion of (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI f) 1/12) (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))) * [misc]taylor: Taking taylor expansion of (* (* PI f) 1/12) in f * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (* f (* PI f)) PI) (* PI f)) -1/2880) (/ (/ 4 PI) f)) * [misc]taylor: Taking taylor expansion of (* (* (* (* f (* PI f)) PI) (* PI f)) -1/2880) in f * [misc]taylor: Taking taylor expansion of (* (* (* f (* PI f)) PI) (* PI f)) in f * [misc]taylor: Taking taylor expansion of (* (* f (* PI f)) PI) in f * [misc]taylor: Taking taylor expansion of (* f (* PI f)) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI f) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -1/2880 in f * [misc]backup-simplify: Simplify -1/2880 into -1/2880 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) f) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking 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 PI) 1) into (/ 4 PI) * [misc]backup-simplify: Simplify (+ 0 (/ 4 PI)) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 PI))) into (* 4 (/ 1 PI)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 4 (/ 1 PI)) (* 2 (sqrt 0))) into (/ +nan.0 PI) * [misc]backup-simplify: Simplify (log (/ +nan.0 PI)) into (log (/ +nan.0 PI)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (log (/ +nan.0 PI))) into (* 4 (/ (log (/ +nan.0 PI)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (log (/ +nan.0 PI)) PI)) into (* 4 (/ (log (/ +nan.0 PI)) PI)) * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/12) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 -1/2880) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ +nan.0 (pow PI 2))) 1)) (pow (/ +nan.0 PI) 1)))) 1) into (/ +nan.0 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (/ +nan.0 PI)) (* 0 (log (/ +nan.0 PI)))) into (- (* +nan.0 (/ 1 (pow PI 2)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (pow PI 2)))) into (- (* +nan.0 (/ 1 (pow PI 2)))) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* PI 1/12)) into (* 1/12 PI) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 PI) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 -1/2880)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (- (* 1/12 PI) (+ (* 2 (* (/ +nan.0 PI) (/ +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (- (* 1/12 PI) (* +nan.0 (/ 1 (pow PI 3))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ +nan.0 (pow PI 2))) 2)) (pow (/ +nan.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 (* +nan.0 (- (* 1/12 PI) (* +nan.0 (/ 1 (pow PI 3)))))) 1)) (pow (/ +nan.0 PI) 1)))) 2) into (* -1/2 (+ (* +nan.0 (pow PI 2)) (- (* +nan.0 (/ 1 (pow PI 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -1/2 (+ (* +nan.0 (pow PI 2)) (- (* +nan.0 (/ 1 (pow PI 2))))))) (+ (* 0 (/ +nan.0 PI)) (* 0 (log (/ +nan.0 PI))))) into (- (+ (* +nan.0 (/ 1 (pow PI 3))) (- (* +nan.0 PI)))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (pow PI 3))) (- (* +nan.0 PI)))) into (- (+ (* +nan.0 (/ 1 (pow PI 3))) (- (* +nan.0 PI)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow PI 3))) (- (* +nan.0 PI)))) (pow f 2)) (+ (* (- (* +nan.0 (/ 1 (pow PI 2)))) f) (* 4 (/ (log (/ +nan.0 PI)) PI)))) into (- (* 4 (/ (log (/ +nan.0 PI)) PI)) (+ (* +nan.0 (* PI (pow f 2))) (- (+ (* +nan.0 (/ f (pow PI 2))) (- (* +nan.0 (/ (pow f 2) (pow PI 3)))))))) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (sqrt (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) 1/12) (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) 1/12) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880) (/ (/ 4 PI) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880) in f * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (* PI (/ 1 f))) PI) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI (/ 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -1/2880 in f * [misc]backup-simplify: Simplify -1/2880 into -1/2880 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in 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 PI) 1) into (/ 4 PI) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* (pow PI 2) PI) into (pow PI 3) * [misc]backup-simplify: Simplify (* (pow PI 3) -1/2880) into (* -1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/2880 (pow PI 3)) 0) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 1/2880 (pow PI 3))) (* 2 (sqrt 0))) into (* +nan.0 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* +nan.0 (pow PI 3))) into (log (* +nan.0 (pow PI 3))) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f))))))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (sqrt (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f)))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f))))) in f * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 f)) 1/12 (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f)))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 f)) 1/12) (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f)))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 f)) 1/12) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (fma (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880 (/ (/ 4 PI) (/ 1 f))) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880) (/ (/ 4 PI) (/ 1 f))) * [misc]taylor: Taking taylor expansion of (* (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) -1/2880) in f * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 f) (* PI (/ 1 f))) PI) (* PI (/ 1 f))) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 f) (* PI (/ 1 f))) PI) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 f) (* PI (/ 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 (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -1/2880 in f * [misc]backup-simplify: Simplify -1/2880 into -1/2880 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in 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 PI) 1) into (/ 4 PI) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* (pow PI 2) PI) into (pow PI 3) * [misc]backup-simplify: Simplify (* (pow PI 3) -1/2880) into (* -1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* -1/2880 (pow PI 3)) 0) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2880 (pow PI 3)))) into (- (* 1/2880 (pow PI 3))) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (- (* 1/2880 (pow PI 3))) (* 2 (sqrt 0))) into (* +nan.0 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* +nan.0 (pow PI 3))) into (log (* +nan.0 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* +nan.0 (pow PI 3)))) into (- (log (* +nan.0 (pow PI 3))) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (* +nan.0 (pow PI 3))) (log f))) into (* 4 (/ (- (log (* +nan.0 (pow PI 3))) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (* +nan.0 (pow PI 3))) (log f)) PI)) into (* 4 (/ (- (log (* +nan.0 (pow PI 3))) (log f)) PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (* 0 -1/2880)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow PI 3)) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 6)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (pow PI 6))) 1)) (pow (* +nan.0 (pow PI 3)) 1)))) 1) into (* +nan.0 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* +nan.0 (pow PI 3)))) into (- (log (* +nan.0 (pow PI 3))) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* +nan.0 (pow PI 3))) (* 0 (- (log (* +nan.0 (pow PI 3))) (log f)))) into (- (* +nan.0 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* PI 1/12) into (* 1/12 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 3) 0) (+ (* 0 0) (* 0 -1/2880))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/12 PI) 0) into (* 1/12 PI) * [misc]backup-simplify: Simplify (/ (- (* 1/12 PI) (+ (* 2 (* (* +nan.0 (pow PI 3)) (* +nan.0 (pow PI 6)))))) (* 2 0)) into (* +nan.0 (- (* 1/12 PI) (* +nan.0 (pow PI 9)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (pow PI 6))) 2)) (pow (* +nan.0 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* +nan.0 (- (* 1/12 PI) (* +nan.0 (pow PI 9))))) 1)) (pow (* +nan.0 (pow PI 3)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (pow PI 6)) (- (* +nan.0 (/ 1 (pow PI 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* +nan.0 (pow PI 3)))) into (- (log (* +nan.0 (pow PI 3))) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -1/2 (+ (* +nan.0 (pow PI 6)) (- (* +nan.0 (/ 1 (pow PI 2))))))) (+ (* 0 (* +nan.0 (pow PI 3))) (* 0 (- (log (* +nan.0 (pow PI 3))) (log f))))) into (- (+ (* +nan.0 (pow PI 5)) (- (* +nan.0 (/ 1 (pow PI 3)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow PI 5)) (- (* +nan.0 (/ 1 (pow PI 3)))))) into (- (+ (* +nan.0 (pow PI 5)) (- (* +nan.0 (/ 1 (pow PI 3)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow PI 5)) (- (* +nan.0 (/ 1 (pow PI 3)))))) (pow (/ 1 f) 2)) (+ (* (- (* +nan.0 (pow PI 2))) (/ 1 f)) (* 4 (/ (- (log (* +nan.0 (pow PI 3))) (log (/ 1 f))) PI)))) into (- (* 4 (/ (log (* +nan.0 (pow PI 3))) PI)) (+ (* 4 (/ (log (/ 1 f)) PI)) (- (+ (* +nan.0 (/ 1 (* (pow PI 3) (pow f 2)))) (- (+ (* +nan.0 (/ (pow PI 5) (pow f 2))) (- (* +nan.0 (/ (pow PI 2) f))))))))) * [misc]approximate: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f)))))))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (sqrt (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) 1/12) (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f))))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) 1/12) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880) (/ (/ 4 PI) (/ 1 (- f)))) * [misc]taylor: Taking taylor expansion of (* (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880) in f * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI (/ 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1/2880 in f * [misc]backup-simplify: Simplify -1/2880 into -1/2880 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 PI) -1) into (/ -4 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (pow PI 2) (* -1 PI)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* (* -1 (pow PI 3)) -1/2880) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/2880 (pow PI 3)) 0) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2880 (pow PI 3)) (* 2 (sqrt 0))) into (* +nan.0 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* +nan.0 (pow PI 3))) into (log (* +nan.0 (pow PI 3))) * [misc]taylor: Taking taylor expansion of (* (/ 4 PI) (log (sqrt (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f)))))))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (log (sqrt (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f))))))) in f * [misc]taylor: Taking taylor expansion of (sqrt (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f)))))) in f * [misc]taylor: Taking taylor expansion of (fma (* PI (/ 1 (- f))) 1/12 (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f))))) in f * [misc]taylor: Rewrote expression to (+ (* (* PI (/ 1 (- f))) 1/12) (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f))))) * [misc]taylor: Taking taylor expansion of (* (* PI (/ 1 (- f))) 1/12) in f * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1/12 in f * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (fma (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880 (/ (/ 4 PI) (/ 1 (- f)))) in f * [misc]taylor: Rewrote expression to (+ (* (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880) (/ (/ 4 PI) (/ 1 (- f)))) * [misc]taylor: Taking taylor expansion of (* (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) -1/2880) in f * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) (* PI (/ 1 (- f)))) in f * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- f)) (* PI (/ 1 (- f)))) PI) in f * [misc]taylor: Taking taylor expansion of (* (/ 1 (- f)) (* PI (/ 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 (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1/2880 in f * [misc]backup-simplify: Simplify -1/2880 into -1/2880 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 PI) -1) into (/ -4 PI) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (* -1 PI)) into PI * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (pow PI 2) (* -1 PI)) into (* -1 (pow PI 3)) * [misc]backup-simplify: Simplify (* (* -1 (pow PI 3)) -1/2880) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 1/2880 (pow PI 3)) 0) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2880 (pow PI 3))) into (* 1/2880 (pow PI 3)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (* 1/2880 (pow PI 3)) (* 2 (sqrt 0))) into (* +nan.0 (pow PI 3)) * [misc]backup-simplify: Simplify (log (* +nan.0 (pow PI 3))) into (log (* +nan.0 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* +nan.0 (pow PI 3)))) into (- (log (* +nan.0 (pow PI 3))) (log f)) * [misc]backup-simplify: Simplify (* (/ 4 PI) (- (log (* +nan.0 (pow PI 3))) (log f))) into (* 4 (/ (- (log (* +nan.0 (pow PI 3))) (log f)) PI)) * [misc]backup-simplify: Simplify (* 4 (/ (- (log (* +nan.0 (pow PI 3))) (log f)) PI)) into (* 4 (/ (- (log (* +nan.0 (pow PI 3))) (log f)) PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 (* -1 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (pow PI 3)) 0) (* 0 -1/2880)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow PI 3)) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 6)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (pow PI 6))) 1)) (pow (* +nan.0 (pow PI 3)) 1)))) 1) into (* +nan.0 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* +nan.0 (pow PI 3)))) into (- (log (* +nan.0 (pow PI 3))) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* +nan.0 (pow PI 3))) (* 0 (- (log (* +nan.0 (pow PI 3))) (log f)))) into (- (* +nan.0 (pow PI 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2))) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (* -1 PI) 1/12) into (* -1/12 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 PI)))) 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 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (pow PI 3)) 0) (+ (* 0 0) (* 0 -1/2880))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/12 PI) 0) into (- (* 1/12 PI)) * [misc]backup-simplify: Simplify (/ (- (- (* 1/12 PI)) (+ (* 2 (* (* +nan.0 (pow PI 3)) (* +nan.0 (pow PI 6)))))) (* 2 0)) into (* +nan.0 (+ (* 1/12 PI) (- (* +nan.0 (pow PI 9))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (pow PI 6))) 2)) (pow (* +nan.0 (pow PI 3)) 2))) (* 1 (/ (* 1 (pow (* 2 (* +nan.0 (+ (* 1/12 PI) (- (* +nan.0 (pow PI 9)))))) 1)) (pow (* +nan.0 (pow PI 3)) 1)))) 2) into (* -1/2 (+ (* +nan.0 (pow PI 6)) (- (* +nan.0 (/ 1 (pow PI 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log f)) (log (* +nan.0 (pow PI 3)))) into (- (log (* +nan.0 (pow PI 3))) (log f)) * [misc]backup-simplify: Simplify (+ (* (/ 4 PI) (* -1/2 (+ (* +nan.0 (pow PI 6)) (- (* +nan.0 (/ 1 (pow PI 2))))))) (+ (* 0 (* +nan.0 (pow PI 3))) (* 0 (- (log (* +nan.0 (pow PI 3))) (log f))))) into (- (+ (* +nan.0 (pow PI 5)) (- (* +nan.0 (/ 1 (pow PI 3)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow PI 5)) (- (* +nan.0 (/ 1 (pow PI 3)))))) into (- (+ (* +nan.0 (pow PI 5)) (- (* +nan.0 (/ 1 (pow PI 3)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow PI 5)) (- (* +nan.0 (/ 1 (pow PI 3)))))) (pow (/ 1 (- f)) 2)) (+ (* (- (* +nan.0 (pow PI 2))) (/ 1 (- f))) (* 4 (/ (- (log (* +nan.0 (pow PI 3))) (log (/ 1 (- f)))) PI)))) into (- (* 4 (/ (log (* +nan.0 (pow PI 3))) PI)) (+ (* 4 (/ (log (/ -1 f)) PI)) (- (+ (* +nan.0 (/ 1 (* (pow PI 3) (pow f 2)))) (- (+ (* +nan.0 (/ (pow PI 5) (pow f 2))) (- (* +nan.0 (/ (pow PI 2) f))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 2 1 1 3 3) * [misc]approximate: Taking taylor expansion of (/ (/ 4 PI) f) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) f) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking 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 PI) 1) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) f) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking 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 PI) 1) into (/ 4 PI) * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 1 f)) into (/ 4 (* f PI)) * [misc]approximate: Taking taylor expansion of (/ (/ 4 PI) (/ 1 f)) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in 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 PI) 1) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) (/ 1 f)) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 f) in f * [misc]taylor: Taking taylor expansion of f in 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 PI) 1) into (/ 4 PI) * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 4 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 4 PI) (/ 1 f)) into (/ 4 (* f PI)) * [misc]approximate: Taking taylor expansion of (/ (/ 4 PI) (/ 1 (- f))) in (f) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 PI) -1) into (/ -4 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 4 PI) (/ 1 (- f))) in f * [misc]taylor: Taking taylor expansion of (/ 4 PI) in f * [misc]taylor: Taking taylor expansion of 4 in f * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of PI in f * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 4 PI) into (/ 4 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- f)) in f * [misc]taylor: Taking taylor expansion of (- f) in f * [misc]taylor: Taking taylor expansion of f in f * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 PI) -1) into (/ -4 PI) * [misc]backup-simplify: Simplify (/ -4 PI) into (/ -4 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 4 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ -4 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -4 PI) (/ 1 (- f))) into (/ 4 (* f PI)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 44 * * [misc]simplify: Extracting #4: cost 43 inf + 44 * * [misc]simplify: Extracting #5: cost 69 inf + 540 * * [misc]simplify: Extracting #6: cost 24 inf + 8588 * * [misc]simplify: Extracting #7: cost 0 inf + 11765 * * [misc]simplify: Extracting #8: cost 0 inf + 11245 * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (fma (* f PI) (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (/ (/ 4 PI) f))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (pow (* (/ 4 PI) (log (sqrt (fma (* f PI) (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (/ (/ 4 PI) f))))) 1)))) * * * * [misc]progress: [ 27 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 4 PI)) (log (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 2 * * [misc]simplify: Extracting #4: cost 15 inf + 409 * * [misc]simplify: Extracting #5: cost 50 inf + 409 * * [misc]simplify: Extracting #6: cost 70 inf + 1767 * * [misc]simplify: Extracting #7: cost 15 inf + 10583 * * [misc]simplify: Extracting #8: cost 0 inf + 17546 * * [misc]simplify: Extracting #9: cost 0 inf + 17106 * [exit]simplify: Simplified to (+ (log (/ 4 PI)) (log (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (exp (+ (log (/ 4 PI)) (log (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))))))))) * * * * [misc]progress: [ 29 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 4 PI) (/ 4 PI)) (/ 4 PI)) (* (* (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (376 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 46 inf + 0 * * [misc]simplify: Extracting #2: cost 116 inf + 86 * * [misc]simplify: Extracting #3: cost 97 inf + 2217 * * [misc]simplify: Extracting #4: cost 120 inf + 2541 * * [misc]simplify: Extracting #5: cost 143 inf + 2753 * * [misc]simplify: Extracting #6: cost 90 inf + 17809 * * [misc]simplify: Extracting #7: cost 16 inf + 53920 * * [misc]simplify: Extracting #8: cost 0 inf + 60963 * * [misc]simplify: Extracting #9: cost 0 inf + 60213 * * [misc]simplify: Extracting #10: cost 0 inf + 59748 * [exit]simplify: Simplified to (* (* (/ 4 PI) (log (sqrt (fma (* f PI) (+ (* -1/2880 (* (* f PI) (* f PI))) 1/12) (/ (/ 4 PI) f))))) (* (/ 4 PI) (* (* (/ 4 PI) (log (sqrt (fma (* f PI) (+ (* -1/2880 (* (* f PI) (* f PI))) 1/12) (/ (/ 4 PI) f))))) (log (sqrt (fma (* f PI) (+ (* -1/2880 (* (* f PI) (* f PI))) 1/12) (/ (/ 4 PI) f))))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (cbrt (* (* (/ 4 PI) (log (sqrt (fma (* f PI) (+ (* -1/2880 (* (* f PI) (* f PI))) 1/12) (/ (/ 4 PI) f))))) (* (/ 4 PI) (* (* (/ 4 PI) (log (sqrt (fma (* f PI) (+ (* -1/2880 (* (* f PI) (* f PI))) 1/12) (/ (/ 4 PI) f))))) (log (sqrt (fma (* f PI) (+ (* -1/2880 (* (* f PI) (* f PI))) 1/12) (/ (/ 4 PI) f))))))))))) * * * * [misc]progress: [ 32 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (cbrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 44 * * [misc]simplify: Extracting #4: cost 7 inf + 44 * * [misc]simplify: Extracting #5: cost 44 inf + 44 * * [misc]simplify: Extracting #6: cost 70 inf + 908 * * [misc]simplify: Extracting #7: cost 19 inf + 9362 * * [misc]simplify: Extracting #8: cost 0 inf + 12772 * * [misc]simplify: Extracting #9: cost 0 inf + 12732 * [exit]simplify: Simplified to (* (log (cbrt (sqrt (fma (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (* f PI) (/ (/ 4 PI) f))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (/ 4 PI) (log (* (cbrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (cbrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))))) (* (log (cbrt (sqrt (fma (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (* f PI) (/ (/ 4 PI) f))))) (/ 4 PI)))))) * * * * [misc]progress: [ 37 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (sqrt (cbrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 44 * * [misc]simplify: Extracting #4: cost 7 inf + 44 * * [misc]simplify: Extracting #5: cost 44 inf + 44 * * [misc]simplify: Extracting #6: cost 70 inf + 908 * * [misc]simplify: Extracting #7: cost 19 inf + 9402 * * [misc]simplify: Extracting #8: cost 0 inf + 12812 * * [misc]simplify: Extracting #9: cost 0 inf + 12772 * [exit]simplify: Simplified to (* (log (sqrt (cbrt (fma (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (* f PI) (/ (/ 4 PI) f))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (/ 4 PI) (log (sqrt (* (cbrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))) (cbrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))))) (* (log (sqrt (cbrt (fma (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (* f PI) (/ (/ 4 PI) f))))) (/ 4 PI)))))) * * * * [misc]progress: [ 38 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (sqrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 44 * * [misc]simplify: Extracting #4: cost 7 inf + 44 * * [misc]simplify: Extracting #5: cost 44 inf + 44 * * [misc]simplify: Extracting #6: cost 70 inf + 908 * * [misc]simplify: Extracting #7: cost 19 inf + 9202 * * [misc]simplify: Extracting #8: cost 0 inf + 12572 * * [misc]simplify: Extracting #9: cost 0 inf + 12532 * [exit]simplify: Simplified to (* (log (sqrt (sqrt (fma (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (* f PI) (/ (/ 4 PI) f))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (/ 4 PI) (log (sqrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) (* (log (sqrt (sqrt (fma (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (* f PI) (/ (/ 4 PI) f))))) (/ 4 PI)))))) * * * * [misc]progress: [ 39 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 44 * * [misc]simplify: Extracting #4: cost 43 inf + 44 * * [misc]simplify: Extracting #5: cost 69 inf + 540 * * [misc]simplify: Extracting #6: cost 24 inf + 8588 * * [misc]simplify: Extracting #7: cost 0 inf + 11765 * * [misc]simplify: Extracting #8: cost 0 inf + 11245 * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (fma (* f PI) (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (/ (/ 4 PI) f))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (/ 4 PI) (log (sqrt 1))) (* (/ 4 PI) (log (sqrt (fma (* f PI) (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 40 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (sqrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 44 * * [misc]simplify: Extracting #4: cost 7 inf + 44 * * [misc]simplify: Extracting #5: cost 44 inf + 44 * * [misc]simplify: Extracting #6: cost 70 inf + 908 * * [misc]simplify: Extracting #7: cost 19 inf + 9202 * * [misc]simplify: Extracting #8: cost 0 inf + 12572 * * [misc]simplify: Extracting #9: cost 0 inf + 12532 * [exit]simplify: Simplified to (* (log (sqrt (sqrt (fma (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (* f PI) (/ (/ 4 PI) f))))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (/ 4 PI) (log (sqrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) (* (log (sqrt (sqrt (fma (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (* f PI) (/ (/ 4 PI) f))))) (/ 4 PI)))))) * * * * [misc]progress: [ 41 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 2 * * [misc]simplify: Extracting #3: cost 6 inf + 44 * * [misc]simplify: Extracting #4: cost 43 inf + 44 * * [misc]simplify: Extracting #5: cost 69 inf + 540 * * [misc]simplify: Extracting #6: cost 24 inf + 8588 * * [misc]simplify: Extracting #7: cost 0 inf + 11765 * * [misc]simplify: Extracting #8: cost 0 inf + 11245 * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (fma (* f PI) (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (/ (/ 4 PI) f))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (/ 4 PI) (log 1)) (* (/ 4 PI) (log (sqrt (fma (* f PI) (fma -1/2880 (* (* f PI) (* f PI)) 1/12) (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 42 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cbrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 86 * * [misc]simplify: Extracting #3: cost 7 inf + 86 * * [misc]simplify: Extracting #4: cost 8 inf + 86 * * [misc]simplify: Extracting #5: cost 43 inf + 86 * * [misc]simplify: Extracting #6: cost 67 inf + 213 * * [misc]simplify: Extracting #7: cost 6 inf + 10887 * * [misc]simplify: Extracting #8: cost 0 inf + 11443 * * [misc]simplify: Extracting #9: cost 0 inf + 11243 * [exit]simplify: Simplified to (* (/ 4 PI) (log (cbrt (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (log (* (cbrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (cbrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) (/ 4 PI)) (* (/ 4 PI) (log (cbrt (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f)))))))))) * * * * [misc]progress: [ 43 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (cbrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 86 * * [misc]simplify: Extracting #3: cost 7 inf + 86 * * [misc]simplify: Extracting #4: cost 8 inf + 86 * * [misc]simplify: Extracting #5: cost 43 inf + 86 * * [misc]simplify: Extracting #6: cost 67 inf + 213 * * [misc]simplify: Extracting #7: cost 6 inf + 10927 * * [misc]simplify: Extracting #8: cost 0 inf + 11483 * * [misc]simplify: Extracting #9: cost 0 inf + 11283 * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (cbrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (log (sqrt (* (cbrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))) (cbrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) (/ 4 PI)) (* (/ 4 PI) (log (sqrt (cbrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f)))))))))) * * * * [misc]progress: [ 44 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 86 * * [misc]simplify: Extracting #3: cost 7 inf + 86 * * [misc]simplify: Extracting #4: cost 8 inf + 86 * * [misc]simplify: Extracting #5: cost 43 inf + 86 * * [misc]simplify: Extracting #6: cost 67 inf + 213 * * [misc]simplify: Extracting #7: cost 6 inf + 10727 * * [misc]simplify: Extracting #8: cost 0 inf + 11203 * * [misc]simplify: Extracting #9: cost 0 inf + 11003 * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (log (sqrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) (/ 4 PI)) (* (/ 4 PI) (log (sqrt (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f)))))))))) * * * * [misc]progress: [ 45 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 2 * * [misc]simplify: Extracting #3: cost 7 inf + 86 * * [misc]simplify: Extracting #4: cost 44 inf + 86 * * [misc]simplify: Extracting #5: cost 64 inf + 378 * * [misc]simplify: Extracting #6: cost 13 inf + 9357 * * [misc]simplify: Extracting #7: cost 2 inf + 10764 * * [misc]simplify: Extracting #8: cost 0 inf + 10768 * [exit]simplify: Simplified to (* (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (log (sqrt 1)) (/ 4 PI)) (* (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))) (/ 4 PI)))))) * * * * [misc]progress: [ 46 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 86 * * [misc]simplify: Extracting #3: cost 7 inf + 86 * * [misc]simplify: Extracting #4: cost 8 inf + 86 * * [misc]simplify: Extracting #5: cost 43 inf + 86 * * [misc]simplify: Extracting #6: cost 67 inf + 213 * * [misc]simplify: Extracting #7: cost 6 inf + 10727 * * [misc]simplify: Extracting #8: cost 0 inf + 11203 * * [misc]simplify: Extracting #9: cost 0 inf + 11003 * [exit]simplify: Simplified to (* (/ 4 PI) (log (sqrt (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f)))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (log (sqrt (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) (/ 4 PI)) (* (/ 4 PI) (log (sqrt (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f)))))))))) * * * * [misc]progress: [ 47 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) (/ 4 PI)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 2 * * [misc]simplify: Extracting #3: cost 7 inf + 86 * * [misc]simplify: Extracting #4: cost 44 inf + 86 * * [misc]simplify: Extracting #5: cost 64 inf + 378 * * [misc]simplify: Extracting #6: cost 13 inf + 9357 * * [misc]simplify: Extracting #7: cost 2 inf + 10764 * * [misc]simplify: Extracting #8: cost 0 inf + 10768 * [exit]simplify: Simplified to (* (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))) (/ 4 PI)) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (+ (* (log 1) (/ 4 PI)) (* (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))) (/ 4 PI)))))) * * * * [misc]progress: [ 48 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 0 * * [misc]simplify: Extracting #3: cost 64 inf + 171 * * [misc]simplify: Extracting #4: cost 25 inf + 4651 * * [misc]simplify: Extracting #5: cost 1 inf + 8778 * * [misc]simplify: Extracting #6: cost 0 inf + 8957 * [exit]simplify: Simplified to (log (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (* (/ 4 PI) 1/2) (log (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f))))))) * * * * [misc]progress: [ 49 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 0 * * [misc]simplify: Extracting #4: cost 61 inf + 211 * * [misc]simplify: Extracting #5: cost 22 inf + 5125 * * [misc]simplify: Extracting #6: cost 0 inf + 8860 * * [misc]simplify: Extracting #7: cost 0 inf + 8580 * [exit]simplify: Simplified to (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (* (/ 4 PI) 1) (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))))))) * * * * [misc]progress: [ 50 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 42 inf + 0 * * [misc]simplify: Extracting #5: cost 74 inf + 169 * * [misc]simplify: Extracting #6: cost 26 inf + 5626 * * [misc]simplify: Extracting #7: cost 0 inf + 10800 * [exit]simplify: Simplified to (cbrt (log (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (* (/ 4 PI) (* (cbrt (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) (cbrt (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))))) (cbrt (log (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 51 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 42 inf + 0 * * [misc]simplify: Extracting #5: cost 74 inf + 169 * * [misc]simplify: Extracting #6: cost 26 inf + 5626 * * [misc]simplify: Extracting #7: cost 0 inf + 10760 * [exit]simplify: Simplified to (sqrt (log (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (* (/ 4 PI) (sqrt (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))) (sqrt (log (sqrt (fma (fma (* (* PI f) (* PI f)) -1/2880 1/12) (* PI f) (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 52 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 0 * * [misc]simplify: Extracting #4: cost 61 inf + 211 * * [misc]simplify: Extracting #5: cost 22 inf + 5125 * * [misc]simplify: Extracting #6: cost 0 inf + 8860 * * [misc]simplify: Extracting #7: cost 0 inf + 8580 * [exit]simplify: Simplified to (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (* (/ 4 PI) 1) (log (sqrt (fma (* PI f) (fma (* (* PI f) (* PI f)) -1/2880 1/12) (/ (/ 4 PI) f)))))))) * * * * [misc]progress: [ 53 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (* (cbrt (/ 4 PI)) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))))))) * * * * [misc]progress: [ 54 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (sqrt (/ 4 PI)) (* (sqrt (/ 4 PI)) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))))))) * * * * [misc]progress: [ 55 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* 4 (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 40 inf + 1 * * [misc]simplify: Extracting #5: cost 61 inf + 333 * * [misc]simplify: Extracting #6: cost 29 inf + 3987 * * [misc]simplify: Extracting #7: cost 2 inf + 8521 * * [misc]simplify: Extracting #8: cost 0 inf + 8927 * [exit]simplify: Simplified to (* 4 (log (sqrt (fma (* f PI) (fma (* -1/2880 (* f PI)) (* f PI) 1/12) (/ 4 (* f PI)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (/ (* 4 (log (sqrt (fma (* f PI) (fma (* -1/2880 (* f PI)) (* f PI) 1/12) (/ 4 (* f PI)))))) PI)))) * * * * [misc]progress: [ 58 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) * [misc]simplify: Simplified (2 1 2 2 1 1 3 3 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (* (cbrt (/ 4 PI)) (cbrt (/ 4 PI))) (/ f (cbrt (/ 4 PI)))))))))))) * * * * [misc]progress: [ 72 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 4 PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (/ 4 PI)) * [misc]simplify: Simplified (2 1 2 2 1 1 3 3 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (sqrt (/ 4 PI)) (/ f (sqrt (/ 4 PI)))))))))))) * * * * [misc]progress: [ 73 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 85 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f)))))))) * * [misc]simplify: iters left: 6 (39 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 0 * * [misc]simplify: Extracting #3: cost 34 inf + 5 * * [misc]simplify: Extracting #4: cost 49 inf + 419 * * [misc]simplify: Extracting #5: cost 106 inf + 913 * * [misc]simplify: Extracting #6: cost 66 inf + 5618 * * [misc]simplify: Extracting #7: cost 18 inf + 14301 * * [misc]simplify: Extracting #8: cost 4 inf + 21070 * * [misc]simplify: Extracting #9: cost 0 inf + 22890 * * [misc]simplify: Extracting #10: cost 0 inf + 22730 * [exit]simplify: Simplified to (+ (- (* (log (sqrt (fma (* PI f) 1/12 (fma (* (* PI f) (* (* PI f) (* PI f))) -1/2880 (/ (/ 4 PI) f))))) (/ 4 PI))) (- (* (log (sqrt (fma (* PI f) 1/12 (fma (* (* PI f) (* (* PI f) (* PI f))) -1/2880 (/ (/ 4 PI) f))))) (/ 4 PI)))) * [misc]simplify: Simplified (2) to (λ (f) (+ (- (* (log (sqrt (fma (* PI f) 1/12 (fma (* (* PI f) (* (* PI f) (* PI f))) -1/2880 (/ (/ 4 PI) f))))) (/ 4 PI))) (- (* (log (sqrt (fma (* PI f) 1/12 (fma (* (* PI f) (* (* PI f) (* PI f))) -1/2880 (/ (/ 4 PI) f))))) (/ 4 PI))))) * * * * [misc]progress: [ 77 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 1 1 2 1 1 1 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 78 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 1 1 2 1 1 1 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 79 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/12 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* PI f) 1/12) * [misc]simplify: Simplified (2 1 1 1 2 1 1 1 1) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* (* PI f) 1/12) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ (/ 4 PI) f))))))))) * * * * [misc]progress: [ 80 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (/ +nan.0 PI)) PI)) (+ (* +nan.0 (* PI (pow f 2))) (- (+ (* +nan.0 (/ f (pow PI 2))) (- (* +nan.0 (/ (pow f 2) (pow PI 3)))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) +nan.0))) * * * * [misc]progress: [ 81 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (* +nan.0 (pow PI 3))) PI)) (+ (* 4 (/ (log (/ 1 f)) PI)) (- (+ (* +nan.0 (/ 1 (* (pow PI 3) (pow f 2)))) (- (+ (* +nan.0 (/ (pow PI 5) (pow f 2))) (- (* +nan.0 (/ (pow PI 2) f))))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) +nan.0))) * * * * [misc]progress: [ 82 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 4 (/ (log (* +nan.0 (pow PI 3))) PI)) (+ (* 4 (/ (log (/ -1 f)) PI)) (- (+ (* +nan.0 (/ 1 (* (pow PI 3) (pow f 2)))) (- (+ (* +nan.0 (/ (pow PI 5) (pow f 2))) (- (* +nan.0 (/ (pow PI 2) f))))))))) * [misc]simplify: Simplified (2 1 2) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) +nan.0))) * * * * [misc]progress: [ 83 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 170 * [exit]simplify: Simplified to (/ 4 (* PI f)) * [misc]simplify: Simplified (2 1 2 2 1 1 3 3) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ 4 (* PI f)))))))))) * * * * [misc]progress: [ 84 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 170 * [exit]simplify: Simplified to (/ 4 (* PI f)) * [misc]simplify: Simplified (2 1 2 2 1 1 3 3) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ 4 (* PI f)))))))))) * * * * [misc]progress: [ 85 / 85 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 4 (* f PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 170 * [exit]simplify: Simplified to (/ 4 (* PI f)) * [misc]simplify: Simplified (2 1 2 2 1 1 3 3) to (λ (f) (- (+ (* (* (sqrt (/ 1 (/ PI 4))) (log (sqrt (- (+ (* 1/12 (* f PI)) (* 4 (/ 1 (* PI f)))) (* 1/2880 (* (pow f 3) (pow PI 3))))))) (sqrt (/ 4 PI))) (* (/ 4 PI) (log (sqrt (fma (* PI f) 1/12 (fma (* (* (* f (* PI f)) PI) (* PI f)) -1/2880 (/ 4 (* PI f)))))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # #) * * * [misc]regime-changes: Trying 5 branch expressions: (f (* (/ PI 4) f) (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))))) * * * * [misc]regimes: Trying to branch on f from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (* (/ PI 4) f) from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (* (/ PI 4) f) from (# #) * * * * [misc]regimes: Trying to branch on (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))) from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))))) from (# # # # # # #) * * * * [misc]regimes: Trying to branch on (* (/ 1 (/ PI 4)) (log (/ (+ (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f)))) (- (exp (* (/ PI 4) f)) (exp (- (* (/ PI 4) f))))))) from (# # # # # # #) * * * [misc]regime: Found split indices: #