* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 162 additional inputs, on iter 1 have 94 / 256 * * * * [misc]points: Computing exacts on every 10 of 162 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 162 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 162 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 162 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 117 additional inputs, on iter 2 have 139 / 256 * * * * [misc]points: Computing exacts on every 7 of 117 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 117 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 117 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 80 additional inputs, on iter 3 have 176 / 256 * * * * [misc]points: Computing exacts on every 5 of 80 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 80 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 80 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 62 additional inputs, on iter 4 have 194 / 256 * * * * [misc]points: Computing exacts on every 3 of 62 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 62 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 48 additional inputs, on iter 5 have 208 / 256 * * * * [misc]points: Computing exacts on every 3 of 48 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 48 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 37 additional inputs, on iter 6 have 219 / 256 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 37 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 21 additional inputs, on iter 7 have 235 / 256 * * * * [misc]points: Computing exacts for 21 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 14 additional inputs, on iter 8 have 242 / 256 * * * * [misc]points: Computing exacts for 14 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 7 additional inputs, on iter 9 have 249 / 256 * * * * [misc]points: Computing exacts for 7 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 10 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 11 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * * [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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (log (+ 1 x)) in n * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ 1 x)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]taylor: Taking taylor expansion of (- 1 (exp (/ (log x) n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ 0 1)))) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) 0) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 0) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* n (log x))))) into (- (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* n (log x)))) (- (exp (* -1 (* n (log x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) n) 0) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) 0) into (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 (- (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) 0) into (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (* (exp (* -1 (* n (log x)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1 (log x)) 1) (* (* 1/2 (pow (log x) 2)) 0))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1 (* (/ 1 n) (/ 1 x))))) into (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* (- (log -1) (log x)) n)))) into (- (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* (- (log -1) (log x)) n))) (- (exp (* -1 (* (- (log -1) (log x)) n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/3) (+ (* 0 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x)))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x)))) (+ (* 1 (- (log x) (log -1))) (* 0 1))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 (- x))) (log -1)) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (log (+ 1 x)) in n * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ x 1))) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (+ 1 x)))) into (exp (/ (log (+ x 1)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (/ 1 n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1) (* 0 0)) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ 0 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) -1/2) (+ (* 0 1) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 1/3) (+ (* 0 -1/2) (+ (* 0 1) (* 0 0)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (* 1 (log (+ (/ 1 x) 1))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 x)) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 1) (* 0 (- (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2)) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]backup-simplify: Simplify (* -1 (log (- 1 (/ 1 x)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ 1 (- x))) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-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)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1) (* 0 (- (log -1) (log x)))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (pow x (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (log x) 2)) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow (log (/ 1 x)) 2)) (pow (* (/ 1 n) 1) 2)) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (pow (log (/ 1 (- x))) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log (/ 1 (- x))))) (pow (* (/ 1 (- n)) 1) 2)) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (fma (pow (cbrt (+ x 1)) (/ 1 n)) (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (cbrt (+ x 1)) (/ 1 n)) (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (cbrt (+ x 1)) (/ 1 n)) (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (+ 1 x)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n)))) 0)) * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 (/ 1 n)) (pow (+ 1 x) (/ 1 n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 (/ 1 n)) (pow (+ 1 x) (/ 1 n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 (/ 1 n)) (pow (+ 1 x) (/ 1 n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) (cbrt (pow (+ 1 x) (/ 1 n))) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) (cbrt (pow (+ 1 x) (/ 1 n))) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) (cbrt (pow (+ 1 x) (/ 1 n))) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow (+ 1 x) (/ 1 n))) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow (+ 1 x) (/ 1 n))) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow (+ 1 x) (/ 1 n))) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (+ 1 x) (/ 1 n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (+ 1 x) (/ 1 n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (pow (+ 1 x) (/ 1 n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ 1 x)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n)) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x n) (fma 1 (pow (+ 1 x) (/ 1 n)) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (+ 1 x) (/ 1 n))) (cbrt (pow (+ 1 x) (/ 1 n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (* (cbrt (pow (+ x 1) (/ 1 n))) (cbrt (pow (+ x 1) (/ 1 n)))) (cbrt (pow (+ 1 x) (/ 1 n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (+ 1 x) (/ 1 n))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow (+ 1 x) (/ 1 n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (pow (+ 1 x) (/ 1 n))) (exp (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))) * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ x 1)) (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (* (+ (sqrt (pow x (/ 1 n))) (pow (sqrt (+ x 1)) (/ 1 n))) (- (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n)))))) * [enter]simplify: Simplifying (- (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (pow (sqrt (+ 1 x)) (/ 1 n)) (sqrt (pow x (/ 1 n)))) (- (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (* (+ (sqrt (pow x (/ 1 n))) (sqrt (pow (+ x 1) (/ 1 n)))) (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * [enter]simplify: Simplifying (- (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (pow (+ 1 x) (/ 1 n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ 1 x) (/ 1 n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 x)) (/ 1 n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (log1p x) n) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (pow (+ x 1) (* 1 (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ 1 x) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ 1 x) (sqrt (/ 1 n))) (sqrt (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ 1 x) 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (- (pow (pow (+ 1 x) 1) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ 1 n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ 1 x)) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ 1 x)) (/ 1 n)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ x 1)) (/ 1 n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt (+ 1 x)) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (* 1 (pow (+ 1 x) (/ 1 n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (pow (+ 1 x) (/ 1 n)) (pow (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))))) * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (pow (+ 1 x) (/ 1 n)) (pow (pow x (sqrt (/ 1 n))) (sqrt (/ 1 n))))) * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (pow (+ 1 x) (/ 1 n)) (pow (pow x 1) (/ 1 n)))) * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (pow (+ 1 x) (/ 1 n)) (pow (pow x 1) (/ 1 n)))) * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- 1 (exp (/ (log x) n))) * [misc]simplify: Simplified (2) to (λ (x n) (- 1 (exp (/ (log x) n)))) * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (/ (log x) (* n n)) x)) * [misc]simplify: Simplified (2) to (λ (x n) (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (/ (log x) (* n n)) x))) * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n))))) * [misc]simplify: Simplified (2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x n) (- 1 (pow x (/ 1 n)))) * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) * [misc]simplify: Simplified (2 1) to (λ (x n) (- (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) (pow x (/ 1 n)))) * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (- (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (log x) n)) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (fma (* (/ (log x) n) (/ (log x) n)) 1/2 (+ 1 (/ (log x) n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (pow (+ 1 x) (/ 1 n)) (fma (* (/ (log x) n) (/ (log x) n)) 1/2 (+ 1 (/ (log x) n))))) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (+ (fma (* (/ (log (/ -1 x)) n) (/ (log (/ -1 x)) n)) 1/2 (fma 1/2 (* (/ (log -1) n) (/ (log -1) n)) 1)) (- (/ (log -1) n) (fma (/ (log (/ -1 x)) n) (/ (log -1) n) (/ (log (/ -1 x)) n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (pow (+ 1 x) (/ 1 n)) (+ (fma (* (/ (log (/ -1 x)) n) (/ (log (/ -1 x)) n)) 1/2 (fma 1/2 (* (/ (log -1) n) (/ (log -1) n)) 1)) (- (/ (log -1) n) (fma (/ (log (/ -1 x)) n) (/ (log -1) n) (/ (log (/ -1 x)) n)))))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (/ (log1p x) n)) into (exp (/ (log1p x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]taylor: Taking taylor expansion of (- 1 (exp (/ (log x) n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ 0 1)))) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) 0) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 0) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]approximate: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 x)) (/ 1 n))) (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* n (log x))))) into (- (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* n (log x)))) (- (exp (* -1 (* n (log x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) n) 0) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) 0) into (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) (* 1/2 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n)) (/ 0 (/ 1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) 0) into (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) (* 1/3 (* (exp (* -1 (* n (log x)))) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (exp (* -1 (* n (log x)))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (* (exp (* -1 (* n (log x)))) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (* -1 (* n (log x)))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (* -1 (log x)) 1) (* (* 1/2 (pow (log x) 2)) 0))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1 (* (/ 1 n) (/ 1 x))))) into (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (- (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (- (exp (* -1 (* (- (log -1) (log x)) n)))) into (- (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (+ (exp (* -1 (* (- (log -1) (log x)) n))) (- (exp (* -1 (* (- (log -1) (log x)) n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* n (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/3 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))) (* (* 1/2 n) (/ 0 (/ -1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) 0) into (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x)))) (+ (* 1 (- (log x) (log -1))) (* 0 1))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 (- x))) (log -1)) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (log1p x) n) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (* (/ 1 n) (pow x 3))) (+ (* -1/2 (* (/ 1 n) (pow x 2))) (* 1 (* (/ 1 n) x)))) into (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (+ (* 1 (* (/ 1 n) (/ 1 x))) (* (- (log (/ 1 x))) (* (/ 1 n) 1)))) into (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)))) into (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (pow x (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (* 1/2 (pow (log x) 2)) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow (log (/ 1 x)) 2)) (pow (* (/ 1 n) 1) 2)) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (pow (log (/ 1 (- x))) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log (/ 1 (- x))))) (pow (* (/ 1 (- n)) 1) 2)) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (exp (/ (log1p x) n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (/ (log1p x) n)) into (exp (/ (log1p x) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ 0 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) n) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow n 2)) (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* -1 (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (+ (* (* -1 (log (/ 1 x))) (* (/ 1 n) 1)) 1)) into (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * [misc]approximate: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-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)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* n (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -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)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 n) (* 1/2 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (+ (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)) 1)) into (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (/ (log1p x) n))) (sqrt (exp (/ (log1p x) n))) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (/ (log1p x) n))) (sqrt (exp (/ (log1p x) n))) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (exp (/ (log1p x) n))) (sqrt (exp (/ (log1p x) n))) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (/ (log1p x) n)) (- (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))) (* (cbrt (pow x (/ 1 n))) (* (cbrt (pow x (/ 1 n))) (cbrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (/ (log1p x) n)) (- (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))))) * [enter]simplify: Simplifying (fma (- (sqrt (pow x (/ 1 n)))) (sqrt (pow x (/ 1 n))) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (exp (/ (log1p x) n)) (- (* (pow x (/ 1 n)) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)))) * [enter]simplify: Simplifying (fma (- (pow x (/ 1 n))) 1 (* (pow x (/ 1 n)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) 0)) * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (/ (log1p x) n))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ (log1p x) n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (fma (sqrt (exp (/ (log1p x) n))) (sqrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (exp (/ (log1p x) n))) (exp (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (log (exp (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))))) * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 1) to (λ (x n) (* (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))))) * [enter]simplify: Simplifying (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* (+ (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))) (- (sqrt (exp (/ (log1p x) n))) (sqrt (pow x (/ 1 n)))))) * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (exp (/ (log1p x) n)) (pow x (/ 1 n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (* 1 (- (exp (/ (log1p x) n)) (pow x (/ 1 n))))) * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (exp (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (/ n (cbrt (log1p x))))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x n) (- (exp (/ (sqrt (log1p x)) (/ n (sqrt (log1p x))))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (exp (/ (log1p x) n)) (pow (pow x (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))))) * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (exp (/ (log1p x) n)) (pow (pow x (sqrt (/ 1 n))) (sqrt (/ 1 n))))) * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (exp (/ (log1p x) n)) (pow (pow x 1) (/ 1 n)))) * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (- (exp (/ (log1p x) n)) (pow (pow x 1) (/ 1 n)))) * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (/ (log1p x) n)) (cbrt (/ (log1p x) n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (/ (log1p x) n)) (cbrt (/ (log1p x) n)))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (pow (exp (* (cbrt (/ (log1p x) n)) (cbrt (/ (log1p x) n)))) (cbrt (/ (log1p x) n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (log1p x) n))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (log1p x) n))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (pow (exp (sqrt (/ (log1p x) n))) (sqrt (/ (log1p x) n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (log1p x)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (pow (exp (log1p x)) (/ 1 n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log1p x) n) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (log1p x) n) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (/ (log1p x) n)) (pow x (/ 1 n)))) * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- 1 (exp (/ (log x) n))) * [misc]simplify: Simplified (2) to (λ (x n) (- 1 (exp (/ (log x) n)))) * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (/ (log x) (* n n)) x)) * [misc]simplify: Simplified (2) to (λ (x n) (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (/ (log x) (* n n)) x))) * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n))))) * [misc]simplify: Simplified (2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (fma (/ x n) (* x (fma 1/3 x -1/2)) (/ x n)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (fma (/ x n) (* x (fma 1/3 x -1/2)) (/ x n))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (- (+ (/ (log x) n) (/ (/ -1/2 x) (* n x))) (/ -1 (* n x))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (- (+ (/ (log x) n) (/ (/ -1/2 x) (* n x))) (/ -1 (* n x)))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (+ (+ 0 (/ (log x) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* n x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (- (exp (+ (+ 0 (/ (log x) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* n x))))) (pow x (/ 1 n)))) * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (log x) n)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (log x) n)) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (exp (/ (log1p x) n)) (exp (/ (log x) n)))) * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) 1) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (fma (* (/ (log x) n) (/ (log x) n)) 1/2 (+ 1 (/ (log x) n))) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (exp (/ (log1p x) n)) (fma (* (/ (log x) n) (/ (log x) n)) 1/2 (+ 1 (/ (log x) n))))) * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ (* 1/2 (/ (pow (log -1) 2) (pow n 2))) (+ (* 1/2 (/ (pow (log (/ -1 x)) 2) (pow n 2))) 1))) (+ (/ (log (/ -1 x)) n) (/ (* (log (/ -1 x)) (log -1)) (pow n 2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (+ (fma (* (/ (log (/ -1 x)) n) (/ (log (/ -1 x)) n)) 1/2 (fma 1/2 (* (/ (log -1) n) (/ (log -1) n)) 1)) (- (/ (log -1) n) (fma (/ (log (/ -1 x)) n) (/ (log -1) n) (/ (log (/ -1 x)) n)))) * [misc]simplify: Simplified (2 2) to (λ (x n) (- (exp (/ (log1p x) n)) (+ (fma (* (/ (log (/ -1 x)) n) (/ (log (/ -1 x)) n)) 1/2 (fma 1/2 (* (/ (log -1) n) (/ (log -1) n)) 1)) (- (/ (log -1) n) (fma (/ (log (/ -1 x)) n) (/ (log -1) n) (/ (log (/ -1 x)) n)))))) * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x n) (- 1 (pow x (/ 1 n)))) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (/ 1 (* x n))) (/ (log (/ 1 x)) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) * [misc]simplify: Simplified (2 1) to (λ (x n) (- (+ (+ (/ (log x) n) (/ 1 (* n x))) 1) (pow x (/ 1 n)))) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (+ 1 (/ 1 (* x n)))) (/ (log (/ -1 x)) n)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) * [misc]simplify: Simplified (2 1) to (λ (x n) (- (+ 1 (+ (/ (/ 1 x) n) (/ (log x) n))) (pow x (/ 1 n)))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n)))) (- (pow x (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n)))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) in n * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (/ (log1p x) n)) into (exp (/ (log1p x) n)) * [misc]backup-simplify: Simplify (log (exp (/ (log1p x) n))) into (/ (log1p x) n) * [misc]backup-simplify: Simplify (* 1/3 (/ (log1p x) n)) into (* 1/3 (/ (log1p x) n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (/ (log1p x) n))) into (exp (* 1/3 (/ (log1p x) n))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (/ (log1p x) n)) into (exp (/ (log1p x) n)) * [misc]backup-simplify: Simplify (log (exp (/ (log1p x) n))) into (/ (log1p x) n) * [misc]backup-simplify: Simplify (* 1/3 (/ (log1p x) n)) into (* 1/3 (/ (log1p x) n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (/ (log1p x) n))) into (exp (* 1/3 (/ (log1p x) n))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]backup-simplify: Simplify (exp (/ (log1p x) n)) into (exp (/ (log1p x) n)) * [misc]backup-simplify: Simplify (log (exp (/ (log1p x) n))) into (/ (log1p x) n) * [misc]backup-simplify: Simplify (* 1/3 (/ (log1p x) n)) into (* 1/3 (/ (log1p x) n)) * [misc]backup-simplify: Simplify (exp (* 1/3 (/ (log1p x) n))) into (exp (* 1/3 (/ (log1p x) n))) * [misc]taylor: Taking taylor expansion of (- (pow x (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log x))) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n)))) in x * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n)))) (- (pow x (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 0)) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 0)) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 0)) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n)))) in x * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n)))) (- (pow x (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 0)) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 0)) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p x) n))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p x) n)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p x) n))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p x) n)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p x) n))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p x) n)) in x * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 n)) (* 0 0)) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow x (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (pow x (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log x))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* (/ 1 n) (log x)) into (/ (log x) n) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]taylor: Taking taylor expansion of (- 1 (exp (/ (log x) n))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ (log x) n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) n) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (exp (/ (log x) n)) into (exp (/ (log x) n)) * [misc]backup-simplify: Simplify (- (exp (/ (log x) n))) into (- (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (log x) n)))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (/ 1/3 n) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (/ 1/3 n) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/3 n)) (* (/ 1/3 n) 1)) into (* 2/3 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/3 n)) (* (* 2/3 (/ 1 n)) 1)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ 0 1)))) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 1)))) 2) into (/ -1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 n))) 1) 1)))) into (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 1)))) 2) into (/ -1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 n))) 1) 1)))) into (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 1)))) 2) into (/ -1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 n))) 1) 1)))) into (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n)))) (+ (* (/ 1/3 n) (/ 1/3 n)) (* (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n))) 1))) into (- (* 2/9 (/ 1 (pow n 2))) (* 1/3 (/ 1 n))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n)))) (+ (* (* 2/3 (/ 1 n)) (/ 1/3 n)) (* (- (* 2/9 (/ 1 (pow n 2))) (* 1/3 (/ 1 n))) 1))) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) 0) into (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) 1)) (pow 1 1)))) 6) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (+ (* 0 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (- (+ (* 1/162 (/ 1 (pow n 3))) (* 1/9 (/ 1 n))) (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) 1)) (pow 1 1)))) 6) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (+ (* 0 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (- (+ (* 1/162 (/ 1 (pow n 3))) (* 1/9 (/ 1 n))) (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 3) 6)) (* (/ (pow (/ 1 n) 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) 1)) (pow 1 1)))) 6) into (/ 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/3 n)) (+ (* 0 (/ -1/2 n)) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/9 (/ 1 n)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* 1/3 (/ 1 n)) 3) 6)) (* (/ (pow (* 1/3 (/ 1 n)) 1) 1) (/ (pow (- (* 1/6 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/9 (/ 1 n)) 1) 1)))) into (- (+ (* 1/162 (/ 1 (pow n 3))) (* 1/9 (/ 1 n))) (* 1/18 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 1/162 (/ 1 (pow n 3))) (* 1/9 (/ 1 n))) (* 1/18 (/ 1 (pow n 2))))) (+ (* (/ 1/3 n) (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n)))) (+ (* (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n))) (/ 1/3 n)) (* (- (+ (* 1/162 (/ 1 (pow n 3))) (* 1/9 (/ 1 n))) (* 1/18 (/ 1 (pow n 2)))) 1)))) into (- (+ (* 4/81 (/ 1 (pow n 3))) (* 2/9 (/ 1 n))) (* 2/9 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 1/162 (/ 1 (pow n 3))) (* 1/9 (/ 1 n))) (* 1/18 (/ 1 (pow n 2))))) (+ (* (* 2/3 (/ 1 n)) (- (* 1/18 (/ 1 (pow n 2))) (* 1/6 (/ 1 n)))) (+ (* (- (* 2/9 (/ 1 (pow n 2))) (* 1/3 (/ 1 n))) (/ 1/3 n)) (* (- (+ (* 4/81 (/ 1 (pow n 3))) (* 2/9 (/ 1 n))) (* 2/9 (/ 1 (pow n 2)))) 1)))) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (log x) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 0) into (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (exp (/ (log x) n))) into (- 1 (exp (/ (log x) n))) * [misc]approximate: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (- (pow (/ 1 x) (/ 1 (/ 1 n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (- (pow (/ 1 x) (/ 1 (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (- (pow (/ 1 x) (/ 1 (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ (/ 1 x) 1)) 1) 1)))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ (/ 1 x) 1))) 1)) (pow 1 1)))) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (+ (* 1/3 (log (+ (/ 1 x) 1))) (* 0 0)) into (* 1/3 (log (+ (/ 1 x) 1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ (/ 1 x) 1)) 1) 1)))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ (/ 1 x) 1))) 1)) (pow 1 1)))) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (+ (* 1/3 (log (+ (/ 1 x) 1))) (* 0 0)) into (* 1/3 (log (+ (/ 1 x) 1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (log (+ (/ 1 x) 1)) 1) 1)))) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (log (+ (/ 1 x) 1))) 1)) (pow 1 1)))) 1) into (log (+ (/ 1 x) 1)) * [misc]backup-simplify: Simplify (+ (* 1/3 (log (+ (/ 1 x) 1))) (* 0 0)) into (* 1/3 (log (+ (/ 1 x) 1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 x) (/ 1 (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 (log (/ 1 x))) into (log (/ 1 x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (- (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (- (pow (/ 1 x) (/ 1 (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* n (log x)))) into (* -1/3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1/3 (* n (log x)))) into (exp (* -1/3 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* n (log x)))) into (* -1/3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1/3 (* n (log x)))) into (exp (* -1/3 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* n (log x)))) into (* -1/3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1/3 (* n (log x)))) into (exp (* -1/3 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (- (pow (/ 1 x) (/ 1 (/ 1 n))))) in x * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (- (pow (/ 1 x) (/ 1 (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* n (log x)))) into (* -1/3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1/3 (* n (log x)))) into (exp (* -1/3 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* n (log x)))) into (* -1/3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1/3 (* n (log x)))) into (exp (* -1/3 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 x)) (/ 1 n))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 x)) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 x)) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 x)) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* n (log x))))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* n (log x)))) into (* -1/3 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1/3 (* n (log x)))) into (exp (* -1/3 (* n (log x)))) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 x) (/ 1 (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 x) (/ 1 (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 n)) (log (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 n)) (log (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* n (- (log x))) into (* -1 (* n (log x))) * [misc]backup-simplify: Simplify (exp (* -1 (* n (log x)))) into (exp (* -1 (* n (log x)))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (exp (* -1/3 (* n (log x))))) into (pow (exp (* -1/3 (* n (log x)))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* -1/3 (* n (log x)))) 2) (exp (* -1/3 (* n (log x))))) into (pow (exp (* -1/3 (* n (log x)))) 3) * [misc]backup-simplify: Simplify (- (exp (* -1 (* n (log x))))) into (- (exp (* -1 (* n (log x))))) * [misc]backup-simplify: Simplify (+ (pow (exp (* -1/3 (* n (log x)))) 3) (- (exp (* -1 (* n (log x)))))) into (- (pow (exp (* -1/3 (* n (log x)))) 3) (exp (* -1 (* n (log x))))) * [misc]taylor: Taking taylor expansion of (- (pow (exp (* -1/3 (* n (log x)))) 3) (exp (* -1 (* n (log x))))) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* n (log x)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1/3 (log x)) (* 0 0)) into (- (* 1/3 (log x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 1/3 n) (* 0 (* -1 (* n (log x))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 1) 1)))) into (* 1/3 (* (exp (* -1/3 (* n (log x)))) n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 1/3 n) (* 0 (* -1 (* n (log x))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 1) 1)))) into (* 1/3 (* (exp (* -1/3 (* n (log x)))) n)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 1) 1)))) into (* (exp (* -1 (* n (log x)))) n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 1/3 n) (* 0 (* -1 (* n (log x))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 1) 1)))) into (* 1/3 (* (exp (* -1/3 (* n (log x)))) n)) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/3 (* n (log x)))) (* 1/3 (* (exp (* -1/3 (* n (log x)))) n))) (* (* 1/3 (* (exp (* -1/3 (* n (log x)))) n)) (exp (* -1/3 (* n (log x)))))) into (* 2/3 (* (pow (exp (* -1/3 (* n (log x)))) 2) n)) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* -1/3 (* n (log x)))) 2) (* 1/3 (* (exp (* -1/3 (* n (log x)))) n))) (* (* 2/3 (* (pow (exp (* -1/3 (* n (log x)))) 2) n)) (exp (* -1/3 (* n (log x)))))) into (* (pow (exp (* -1/3 (* n (log x)))) 3) n) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (- (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* -1/3 (* n (log x)))) 3) n) 0) into (* (pow (exp (* -1/3 (* n (log x)))) 3) n) * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* n (log x)))) 3) n) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* n (log x)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1/3 (log x)) (* 0 0)) into (- (* 1/3 (log x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x))) 1) 1)))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 (* -1/3 (log x))) (* (* -1/3 (log x)) 1)) into (- (* 2/3 (log x))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2/3 (log x)))) (* (* -1/3 (log x)) 1)) into (- (log x)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 1) 1)))) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (* -1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (- (log x)) (log x)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 2)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 2) into (* -1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x)))))) into (- (* 1/6 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 2) 2)) (* (/ (pow (- (* 1/6 n)) 1) 1)))) into (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 2)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 2) into (* -1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x)))))) into (- (* 1/6 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 2) 2)) (* (/ (pow (- (* 1/6 n)) 1) 1)))) into (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (- (* 1/2 n)) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 2)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 2) into (* -1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x)))))) into (- (* 1/6 n)) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 2) 2)) (* (/ (pow (- (* 1/6 n)) 1) 1)))) into (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/3 (* n (log x)))) (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x)))))) (+ (* (* 1/3 (* (exp (* -1/3 (* n (log x)))) n)) (* 1/3 (* (exp (* -1/3 (* n (log x)))) n))) (* (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x))))) (exp (* -1/3 (* n (log x))))))) into (- (* 2/9 (* (pow (exp (* -1/3 (* n (log x)))) 2) (pow n 2))) (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 2) n))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* -1/3 (* n (log x)))) 2) (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x)))))) (+ (* (* 2/3 (* (pow (exp (* -1/3 (* n (log x)))) 2) n)) (* 1/3 (* (exp (* -1/3 (* n (log x)))) n))) (* (- (* 2/9 (* (pow (exp (* -1/3 (* n (log x)))) 2) (pow n 2))) (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 2) n))) (exp (* -1/3 (* n (log x))))))) into (- (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2))) (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) n))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (- (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2))) (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) n))) 0) into (- (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2))) (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2))) (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* n (log x)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1/3 (log x)) (* 0 0)) into (- (* 1/3 (log x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* n (log x)))) 3) n) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* n (log x)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1/3 (log x)) (* 0 0)) into (- (* 1/3 (log x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 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 0) (+ (* (/ (pow (- (* 1/3 (log x))) 1) 1)))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 (* -1/3 (log x))) (* (* -1/3 (log x)) 1)) into (- (* 2/3 (log x))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2/3 (log x)))) (* (* -1/3 (log x)) 1)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (- (log x)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/18 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/18 (pow (log x) 2))) (+ (* (* -1/3 (log x)) (* -1/3 (log x))) (* (* 1/18 (pow (log x) 2)) 1))) into (* 2/9 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2/9 (pow (log x) 2))) (+ (* (* -1/3 (log x)) (- (* 2/3 (log x)))) (* (* 1/18 (pow (log x) 2)) 1))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (- (* 1/2 (pow (log x) 2))) into (- (* 1/2 (pow (log x) 2))) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (log x) 2)) (- (* 1/2 (pow (log x) 2)))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n)) (/ 0 (/ 1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 3)) (pow (exp (* -1 (* n (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1) (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2))))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 6) into (* 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/3 n)) (+ (* 0 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x))))))) into (* 1/9 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 3) 6)) (* (/ (pow (* 1/3 n) 1) 1) (/ (pow (- (* 1/6 n)) 1) 1)) (* (/ (pow (* 1/9 n) 1) 1)))) into (* (exp (* -1/3 (* n (log x)))) (- (+ (* 1/9 n) (* 1/162 (pow n 3))) (* 1/18 (pow n 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n)) (/ 0 (/ 1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 3)) (pow (exp (* -1 (* n (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1) (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2))))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 6) into (* 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/3 n)) (+ (* 0 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x))))))) into (* 1/9 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 3) 6)) (* (/ (pow (* 1/3 n) 1) 1) (/ (pow (- (* 1/6 n)) 1) 1)) (* (/ (pow (* 1/9 n) 1) 1)))) into (* (exp (* -1/3 (* n (log x)))) (- (+ (* 1/9 n) (* 1/162 (pow n 3))) (* 1/18 (pow n 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n)) (/ 0 (/ 1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (- (* 1/2 n)) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 3)) (pow (exp (* -1 (* n (log x)))) 3))) (* -3 (/ (* (pow (* 1 (* (exp (* -1 (* n (log x)))) n)) 1) (pow (* 2 (* (exp (* -1 (* n (log x)))) (- (* 1/2 (pow n 2)) (* 1/2 n)))) 1)) (pow (exp (* -1 (* n (log x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (exp (* -1 (* n (log x)))) (- (+ (* 1/3 n) (* 1/6 (pow n 3))) (* 1/2 (pow n 2))))) 1)) (pow (exp (* -1 (* n (log x)))) 1)))) 6) into (* 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/3 n)) (+ (* 0 (* -1/2 n)) (+ (* 0 n) (* 0 (* -1 (* n (log x))))))) into (* 1/9 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* n (log x)))) (+ (* (/ (pow (* 1/3 n) 3) 6)) (* (/ (pow (* 1/3 n) 1) 1) (/ (pow (- (* 1/6 n)) 1) 1)) (* (/ (pow (* 1/9 n) 1) 1)))) into (* (exp (* -1/3 (* n (log x)))) (- (+ (* 1/9 n) (* 1/162 (pow n 3))) (* 1/18 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/3 (* n (log x)))) (* (exp (* -1/3 (* n (log x)))) (- (+ (* 1/9 n) (* 1/162 (pow n 3))) (* 1/18 (pow n 2))))) (+ (* (* 1/3 (* (exp (* -1/3 (* n (log x)))) n)) (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x)))))) (+ (* (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x))))) (* 1/3 (* (exp (* -1/3 (* n (log x)))) n))) (* (* (exp (* -1/3 (* n (log x)))) (- (+ (* 1/9 n) (* 1/162 (pow n 3))) (* 1/18 (pow n 2)))) (exp (* -1/3 (* n (log x)))))))) into (- (+ (* 2/9 (* (pow (exp (* -1/3 (* n (log x)))) 2) n)) (* 4/81 (* (pow (exp (* -1/3 (* n (log x)))) 2) (pow n 3)))) (* 2/9 (* (pow (exp (* -1/3 (* n (log x)))) 2) (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* -1/3 (* n (log x)))) 2) (* (exp (* -1/3 (* n (log x)))) (- (+ (* 1/9 n) (* 1/162 (pow n 3))) (* 1/18 (pow n 2))))) (+ (* (* 2/3 (* (pow (exp (* -1/3 (* n (log x)))) 2) n)) (* (- (* 1/18 (pow n 2)) (* 1/6 n)) (exp (* -1/3 (* n (log x)))))) (+ (* (- (* 2/9 (* (pow (exp (* -1/3 (* n (log x)))) 2) (pow n 2))) (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 2) n))) (* 1/3 (* (exp (* -1/3 (* n (log x)))) n))) (* (- (+ (* 2/9 (* (pow (exp (* -1/3 (* n (log x)))) 2) n)) (* 4/81 (* (pow (exp (* -1/3 (* n (log x)))) 2) (pow n 3)))) (* 2/9 (* (pow (exp (* -1/3 (* n (log x)))) 2) (pow n 2)))) (exp (* -1/3 (* n (log x)))))))) into (- (+ (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 3) n)) (* 1/6 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 3)))) (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* n (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 3) n)) (* 1/6 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 3)))) (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2)))) 0) into (- (+ (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 3) n)) (* 1/6 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 3)))) (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 3) n)) (* 1/6 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 3)))) (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 3) n)) (* 1/6 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (exp (* -1/3 (* n (log x)))) 3) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* n (log x)))) 3) n) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* n (log x)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1/3 (log x)) (* 0 0)) into (- (* 1/3 (log x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* n (log x)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1/3 (log x)) (* 0 0)) into (- (* 1/3 (log x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* n (log x)))) 3) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* n (log x)))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* n (log x)))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (* -1/3 (log x)) (* 0 0)) into (- (* 1/3 (log x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x))) 1) 1)))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (+ (* 1 (* -1/3 (log x))) (* (* -1/3 (log x)) 1)) into (- (* 2/3 (log x))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2/3 (log x)))) (* (* -1/3 (log x)) 1)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (- (log x)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 (log x)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/18 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 1/18 (pow (log x) 2))) (+ (* (* -1/3 (log x)) (* -1/3 (log x))) (* (* 1/18 (pow (log x) 2)) 1))) into (* 2/9 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2/9 (pow (log x) 2))) (+ (* (* -1/3 (log x)) (- (* 2/3 (log x)))) (* (* 1/18 (pow (log x) 2)) 1))) into (* 1/2 (pow (log x) 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (log x)) 1) (* (* 1/2 (pow (log x) 2)) 0))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (* 1 (* (/ 1 n) (/ 1 x))))) into (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * [misc]approximate: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (- 1 (/ 1 x)))) 1) 1)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (log (- 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (log (- 1 (/ 1 x))))) (* 0 0)) into (- (* 1/3 (log (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (- 1 (/ 1 x)))) 1) 1)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (log (- 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (log (- 1 (/ 1 x))))) (* 0 0)) into (- (* 1/3 (log (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (* -1 (log (- 1 (/ 1 x)))) 1) 1)))) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (log (- 1 (/ 1 x))))) 1)) (pow 1 1)))) 1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (log (- 1 (/ 1 x))))) (* 0 0)) into (- (* 1/3 (log (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]backup-simplify: Simplify (* -1 (log (/ -1 x))) into (* -1 (log (/ -1 x))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* (- (log -1) (log x)) n)))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* (- (log -1) (log x)) n))) into (* -1/3 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (* (- (log -1) (log x)) n))) into (exp (* -1/3 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* (- (log -1) (log x)) n)))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* (- (log -1) (log x)) n))) into (* -1/3 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (* (- (log -1) (log x)) n))) into (exp (* -1/3 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* (- (log -1) (log x)) n)))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* (- (log -1) (log x)) n))) into (* -1/3 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (* (- (log -1) (log x)) n))) into (exp (* -1/3 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (fma (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) in x * [misc]taylor: Rewrote expression to (+ (* (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* (- (log -1) (log x)) n)))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* (- (log -1) (log x)) n))) into (* -1/3 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (* (- (log -1) (log x)) n))) into (exp (* -1/3 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* (- (log -1) (log x)) n)))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* (- (log -1) (log x)) n))) into (* -1/3 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (* (- (log -1) (log x)) n))) into (exp (* -1/3 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (cbrt (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Rewrote expression to (pow (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (exp (/ (log1p (/ 1 (- x))) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (log (exp (* -1 (* (- (log -1) (log x)) n)))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (* 1/3 (* -1 (* (- (log -1) (log x)) n))) into (* -1/3 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1/3 (* (- (log -1) (log x)) n))) into (exp (* -1/3 (* (- (log -1) (log x)) n))) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- x)) (/ 1 (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- x)) (/ 1 (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- n))) (log (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ 1 (/ -1 n)) into (* -1 n) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (* -1 n) (- (log -1) (log x))) into (* -1 (* (- (log -1) (log x)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (* (- (log -1) (log x)) n))) into (exp (* -1 (* (- (log -1) (log x)) n))) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) into (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) * [misc]backup-simplify: Simplify (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) (exp (* -1/3 (* (- (log -1) (log x)) n)))) into (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) * [misc]backup-simplify: Simplify (- (exp (* -1 (* (- (log -1) (log x)) n)))) into (- (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (+ (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (- (exp (* -1 (* (- (log -1) (log x)) n))))) into (- (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]taylor: Taking taylor expansion of (- (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (exp (* -1 (* (- (log -1) (log x)) n)))) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) 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 (- 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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 1/3 n) (* 0 (* -1 (* (- (log -1) (log x)) n)))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 1) 1)))) into (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n)) * [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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 1/3 n) (* 0 (* -1 (* (- (log -1) (log x)) n)))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 1) 1)))) into (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n)) * [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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 1) 1)))) into (* n (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 1) into n * [misc]backup-simplify: Simplify (+ (* 1/3 n) (* 0 (* -1 (* (- (log -1) (log x)) n)))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 1) 1)))) into (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n)) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n))) (* (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n)) (exp (* -1/3 (* (- (log -1) (log x)) n))))) into (* 2/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) n)) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n))) (* (* 2/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) n)) (exp (* -1/3 (* (- (log -1) (log x)) n))))) into (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n) 0) into (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n) * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [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 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x)) (* 1/3 (log -1))) 1) 1)))) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/3 (log x)) (* 1/3 (log -1)))) (* (- (* 1/3 (log x)) (* 1/3 (log -1))) 1)) into (- (* 2/3 (log x)) (* 2/3 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2/3 (log x)) (* 2/3 (log -1)))) (* (- (* 1/3 (log x)) (* 1/3 (log -1))) 1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 1) 1)))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (- (log x) (log -1))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (- (log x) (log -1)) (- (log -1) (log x))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 2)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 2) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* (- (log -1) (log x)) n))))) into (* 1/6 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 2) 2)) (* (/ (pow (* 1/6 n) 1) 1)))) into (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 2)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 2) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* (- (log -1) (log x)) n))))) into (* 1/6 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 2) 2)) (* (/ (pow (* 1/6 n) 1) 1)))) into (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 2) 2)) (* (/ (pow (* 1/2 n) 1) 1)))) into (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 2)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 2))) (* 1 (/ (* 1 (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 2) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* (- (log -1) (log x)) n))))) into (* 1/6 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 2) 2)) (* (/ (pow (* 1/6 n) 1) 1)))) into (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n))))) (+ (* (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n)) (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n))) (* (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) (exp (* -1/3 (* (- (log -1) (log x)) n)))))) into (+ (* 1/3 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (+ (* 1/9 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (* 1/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) (pow n 2))))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n))))) (+ (* (* 2/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) n)) (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n))) (* (+ (* 1/3 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (+ (* 1/9 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (* 1/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) (pow n 2))))) (exp (* -1/3 (* (- (log -1) (log x)) n)))))) into (+ (* 1/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n)) (+ (* 1/6 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 1/18 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (* 4/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (pow n 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 1/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n)) (+ (* 1/6 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 1/18 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (* 4/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (pow n 2)))))) 0) into (+ (* 1/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n)) (+ (* 1/6 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 4/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (pow n 2))) (* 1/18 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n)) (+ (* 1/6 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 4/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (pow n 2))) (* 1/18 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) n) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 4/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (pow n 2))) (* 1/18 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (pow n 2))) (* 1/18 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 4/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 4/9 in n * [misc]backup-simplify: Simplify 4/9 into 4/9 * [misc]taylor: Taking taylor expansion of (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1/18 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/18 in n * [misc]backup-simplify: Simplify 1/18 into 1/18 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x)) (* 1/3 (log -1))) 1) 1)))) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/3 (log x)) (* 1/3 (log -1)))) (* (- (* 1/3 (log x)) (* 1/3 (log -1))) 1)) into (- (* 2/3 (log x)) (* 2/3 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2/3 (log x)) (* 2/3 (log -1)))) (* (- (* 1/3 (log x)) (* 1/3 (log -1))) 1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (- (log x) (log -1)) 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x)) (* 1/3 (log -1))) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log -1) 2))) (* 1/9 (* (log -1) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log -1) 2))) (* 1/9 (* (log -1) (log x))))) (+ (* (- (* 1/3 (log x)) (* 1/3 (log -1))) (- (* 1/3 (log x)) (* 1/3 (log -1)))) (* (- (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log -1) 2))) (* 1/9 (* (log -1) (log x)))) 1))) into (- (+ (* 2/9 (pow (log x) 2)) (* 2/9 (pow (log -1) 2))) (* 4/9 (* (log -1) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 2/9 (pow (log x) 2)) (* 2/9 (pow (log -1) 2))) (* 4/9 (* (log -1) (log x))))) (+ (* (- (* 1/3 (log x)) (* 1/3 (log -1))) (- (* 2/3 (log x)) (* 2/3 (log -1)))) (* (- (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log -1) 2))) (* 1/9 (* (log -1) (log x)))) 1))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log x) (log -1)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (- (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x)))) into (- (* (log -1) (log x)) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) (- (* (log -1) (log x)) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/3 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))) (* (* 1/2 n) (/ 0 (/ -1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 3)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 3))) (* -3 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 1) (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 6) into (* 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/3 n)) (+ (* 0 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/9 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 3) 6)) (* (/ (pow (* 1/3 n) 1) 1) (/ (pow (* 1/6 n) 1) 1)) (* (/ (pow (* 1/9 n) 1) 1)))) into (* (+ (* 1/9 n) (+ (* 1/162 (pow n 3)) (* 1/18 (pow n 2)))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/3 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))) (* (* 1/2 n) (/ 0 (/ -1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 3)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 3))) (* -3 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 1) (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 6) into (* 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/3 n)) (+ (* 0 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/9 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 3) 6)) (* (/ (pow (* 1/3 n) 1) 1) (/ (pow (* 1/6 n) 1) 1)) (* (/ (pow (* 1/9 n) 1) 1)))) into (* (+ (* 1/9 n) (+ (* 1/162 (pow n 3)) (* 1/18 (pow n 2)))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/3 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))) (* (* 1/2 n) (/ 0 (/ -1 n))))) into (* 1/3 n) * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow n 3) 6)) (* (/ (pow n 1) 1) (/ (pow (* 1/2 n) 1) 1)) (* (/ (pow (* 1/3 n) 1) 1)))) into (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 3)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 3))) (* -3 (/ (* (pow (* 1 (* n (exp (* -1 (* (- (log -1) (log x)) n))))) 1) (pow (* 2 (* (+ (* 1/2 n) (* 1/2 (pow n 2))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* (+ (* 1/3 n) (+ (* 1/6 (pow n 3)) (* 1/2 (pow n 2)))) (exp (* -1 (* (- (log -1) (log x)) n))))) 1)) (pow (exp (* -1 (* (- (log -1) (log x)) n))) 1)))) 6) into (* 1/3 n) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/3 n)) (+ (* 0 (* 1/2 n)) (+ (* 0 n) (* 0 (* -1 (* (- (log -1) (log x)) n)))))) into (* 1/9 n) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (+ (* (/ (pow (* 1/3 n) 3) 6)) (* (/ (pow (* 1/3 n) 1) 1) (/ (pow (* 1/6 n) 1) 1)) (* (/ (pow (* 1/9 n) 1) 1)))) into (* (+ (* 1/9 n) (+ (* 1/162 (pow n 3)) (* 1/18 (pow n 2)))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1/3 (* (- (log -1) (log x)) n))) (* (+ (* 1/9 n) (+ (* 1/162 (pow n 3)) (* 1/18 (pow n 2)))) (exp (* -1/3 (* (- (log -1) (log x)) n))))) (+ (* (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n)) (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n))))) (+ (* (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n))) (* (* (+ (* 1/9 n) (+ (* 1/162 (pow n 3)) (* 1/18 (pow n 2)))) (exp (* -1/3 (* (- (log -1) (log x)) n)))) (exp (* -1/3 (* (- (log -1) (log x)) n))))))) into (+ (* 2/9 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (+ (* 4/81 (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (* 2/9 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))))) * [misc]backup-simplify: Simplify (+ (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) (* (+ (* 1/9 n) (+ (* 1/162 (pow n 3)) (* 1/18 (pow n 2)))) (exp (* -1/3 (* (- (log -1) (log x)) n))))) (+ (* (* 2/3 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) n)) (* (+ (* 1/6 n) (* 1/18 (pow n 2))) (exp (* -1/3 (* (- (log -1) (log x)) n))))) (+ (* (+ (* 1/3 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (+ (* 1/9 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (* 1/9 (* (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2) (pow n 2))))) (* 1/3 (* (exp (* -1/3 (* (- (log -1) (log x)) n))) n))) (* (+ (* 2/9 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (+ (* 4/81 (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))) (* 2/9 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 2))))) (exp (* -1/3 (* (- (log -1) (log x)) n))))))) into (+ (* 1/3 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 1/6 (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (* 1/2 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 n) (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (* -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- (log -1) (log x)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 1/3 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 1/6 (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (* 1/2 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))))) 0) into (+ (* 1/3 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 1/6 (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (* 1/2 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (+ (* 1/6 (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (* 1/2 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (* n (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) (* 1/2 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (exp (* -1/3 (* (- (log -1) (log x)) n))) 3) in n * [misc]taylor: Taking taylor expansion of (exp (* -1/3 (* (- (log -1) (log x)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1/3 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1/3 in n * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* -1/3 (- (log -1) (log x))) (* 0 0)) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x)) (* 1/3 (log -1))) 1) 1)))) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/3 (log x)) (* 1/3 (log -1)))) (* (- (* 1/3 (log x)) (* 1/3 (log -1))) 1)) into (- (* 2/3 (log x)) (* 2/3 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2/3 (log x)) (* 2/3 (log -1)))) (* (- (* 1/3 (log x)) (* 1/3 (log -1))) 1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (- (log x) (log -1)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x)) (* 1/3 (log -1))) 1) 1)))) into (- (* 1/3 (log x)) (* 1/3 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/3 (log x)) (* 1/3 (log -1)))) (* (- (* 1/3 (log x)) (* 1/3 (log -1))) 1)) into (- (* 2/3 (log x)) (* 2/3 (log -1))) * [misc]backup-simplify: Simplify (+ (* 1 (- (* 2/3 (log x)) (* 2/3 (log -1)))) (* (- (* 1/3 (log x)) (* 1/3 (log -1))) 1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* 0 (- (log x) (log -1))) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (* 1/6 1) (* 0 0)) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ 1/3 1/6) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/3 (log x)) (* 1/3 (log -1))) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log -1) 2))) (* 1/9 (* (log -1) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log -1) 2))) (* 1/9 (* (log -1) (log x))))) (+ (* (- (* 1/3 (log x)) (* 1/3 (log -1))) (- (* 1/3 (log x)) (* 1/3 (log -1)))) (* (- (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log -1) 2))) (* 1/9 (* (log -1) (log x)))) 1))) into (- (+ (* 2/9 (pow (log x) 2)) (* 2/9 (pow (log -1) 2))) (* 4/9 (* (log -1) (log x)))) * [misc]backup-simplify: Simplify (+ (* 1 (- (+ (* 2/9 (pow (log x) 2)) (* 2/9 (pow (log -1) 2))) (* 4/9 (* (log -1) (log x))))) (+ (* (- (* 1/3 (log x)) (* 1/3 (log -1))) (- (* 2/3 (log x)) (* 2/3 (log -1)))) (* (- (+ (* 1/18 (pow (log x) 2)) (* 1/18 (pow (log -1) 2))) (* 1/9 (* (log -1) (log x)))) 1))) into (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (log x) (log -1)) 1) (* (- (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log -1) 2))) (* (log -1) (log x))) 0))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 (- x))) (log -1)) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (* 1 (* (/ 1 (- n)) (/ 1 (- x)))))) into (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (log1p x) n) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (* (/ 1 n) (pow x 3))) (+ (* -1/2 (* (/ 1 n) (pow x 2))) (* 1 (* (/ 1 n) x)))) into (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (+ (* 1 (* (/ 1 n) (/ 1 x))) (* (- (log (/ 1 x))) (* (/ 1 n) 1)))) into (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)))) into (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (log1p x) n) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (* (/ 1 n) (pow x 3))) (+ (* -1/2 (* (/ 1 n) (pow x 2))) (* 1 (* (/ 1 n) x)))) into (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (+ (* 1 (* (/ 1 n) (/ 1 x))) (* (- (log (/ 1 x))) (* (/ 1 n) 1)))) into (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)))) into (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (log1p x) n) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in n * [misc]taylor: Taking taylor expansion of (log1p x) in n * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (+ 1 x) into (+ x 1) * [misc]backup-simplify: Simplify (log (+ x 1)) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (log (+ x 1)) 1) into (log (+ x 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (log1p x) n) in x * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 n) (+ (* (/ 1 n) (/ 0 n)))) into (- (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (/ 1/3 n) (+ (* (/ 1 n) (/ 0 n)) (* (- (* 1/2 (/ 1 n))) (/ 0 n)))) into (* 1/3 (/ 1 n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (* (/ 1 n) (pow x 3))) (+ (* -1/2 (* (/ 1 n) (pow x 2))) (* 1 (* (/ 1 n) x)))) into (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 (/ 1 x)) into (+ (/ 1 x) 1) * [misc]backup-simplify: Simplify (log (+ (/ 1 x) 1)) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log (+ (/ 1 x) 1)) 1) into (log (+ (/ 1 x) 1)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 n)) into (* -1 (* n (log x))) * [misc]taylor: Taking taylor expansion of (* -1 (* n (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* n (log x)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log x))) into (log x) * [misc]backup-simplify: Simplify (* 0 (log x)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (log x)) (* 0 0)) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (log x)) (* 0 0))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ 1 n)) (+ (* (* -1 (* n (log x))) (/ 0 (/ 1 n))) (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) (+ (* 1 (* (/ 1 n) (/ 1 x))) (* (- (log (/ 1 x))) (* (/ 1 n) 1)))) into (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * [misc]approximate: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (+ 1 (/ -1 x)) into (- 1 (/ 1 x)) * [misc]backup-simplify: Simplify (log (- 1 (/ 1 x))) into (log (- 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (log (- 1 (/ 1 x))) -1) into (* -1 (log (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (/ (log1p (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 n)) into (* -1 (* (- (log -1) (log x)) n)) * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) n)) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 1) (* 0 0)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log x))) (* 0 0)) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))))) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (log -1) (log x))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/2 (/ -1 n)) (+ (* (* -1 (* (- (log -1) (log x)) n)) (/ 0 (/ -1 n))) (* n (/ 0 (/ -1 n))))) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) (+ (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) (* (- (log (/ 1 (- x))) (log -1)) (* (/ 1 (- n)) 1)))) into (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (/ n (cbrt (log1p x)))))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (sqrt (log1p x)) (/ n (sqrt (log1p x)))))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (/ n (cbrt (log1p x))))))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (sqrt (log1p x)) (/ n (sqrt (log1p x))))))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (* (cbrt (log1p x)) (cbrt (log1p x))) (/ n (cbrt (log1p x)))))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (sqrt (log1p x)) (/ n (sqrt (log1p x)))))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (exp (/ (log x) n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- 1 (exp (/ (log x) n))) * [misc]simplify: Simplified (2) to (λ (x n) (- 1 (exp (/ (log x) n)))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (/ (log (/ 1 x)) (* x (pow n 2))) (* 1/2 (/ 1 (* (pow x 2) n))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (/ (log x) (* n n)) x)) * [misc]simplify: Simplified (2) to (λ (x n) (+ (- (/ 1 (* n x)) (/ (/ 1/2 x) (* n x))) (/ (/ (log x) (* n n)) x))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) (* x (pow n 2))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n))))) * [misc]simplify: Simplified (2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (fma (/ x n) (* x (fma 1/3 x -1/2)) (/ x n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (fma (/ x n) (* x (fma 1/3 x -1/2)) (/ x n)))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (- (+ (/ (log x) n) (/ (/ -1/2 x) (* n x))) (/ -1 (* n x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (- (+ (/ (log x) n) (/ (/ -1/2 x) (* n x))) (/ -1 (* n x))))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (+ (+ 0 (/ (log x) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* n x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (+ (+ 0 (/ (log x) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* n x)))))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (fma (/ x n) (* x (fma 1/3 x -1/2)) (/ x n)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (fma (/ x n) (* x (fma 1/3 x -1/2)) (/ x n))))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (- (+ (/ (log x) n) (/ (/ -1/2 x) (* n x))) (/ -1 (* n x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (- (+ (/ (log x) n) (/ (/ -1/2 x) (* n x))) (/ -1 (* n x)))))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (+ (+ 0 (/ (log x) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* n x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x n) (fma (* (cbrt (exp (/ (log1p x) n))) (cbrt (exp (+ (+ 0 (/ (log x) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* n x))))))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ x n) (* 1/3 (/ (pow x 3) n))) (* 1/2 (/ (pow x 2) n))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (fma (/ x n) (* x (fma 1/3 x -1/2)) (/ x n)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (fma (* (cbrt (exp (fma (/ x n) (* x (fma 1/3 x -1/2)) (/ x n)))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ 1 x)) n))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (- (+ (/ (log x) n) (/ (/ -1/2 x) (* n x))) (/ -1 (* n x))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (fma (* (cbrt (exp (- (+ (/ (log x) n) (/ (/ -1/2 x) (* n x))) (/ -1 (* n x))))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) n) (/ 1 (* x n))) (+ (* 1/2 (/ 1 (* (pow x 2) n))) (/ (log (/ -1 x)) n))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (+ (+ 0 (/ (log x) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* n x)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x n) (fma (* (cbrt (exp (+ (+ 0 (/ (log x) n)) (- (/ (/ 1 x) n) (/ (/ 1/2 x) (* n x)))))) (cbrt (exp (/ (log1p x) n)))) (cbrt (exp (/ (log1p x) n))) (- (pow x (/ 1 n))))) * * * [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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))) in n * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 x) n) 0) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log x) (* n (* x n))) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (* n (* x n)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 x) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 x) (* 0 0))) into x * [misc]backup-simplify: Simplify (/ (log x) x) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 x) n) 0) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log x) (* n (* x n))) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* n (* x n)) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* n n) (* 0 0)) into (pow n 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) (pow n 2)) into (/ (log x) (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 x) n) 0) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log x) (* n (* x n))) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* n (* x n)) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* n n) (* 0 0)) into (pow n 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) (pow n 2)) into (/ (log x) (pow n 2)) * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (/ 1 n) (/ (log x) (pow n 2))) into (+ (/ (log x) (pow n 2)) (/ 1 n)) * [misc]taylor: Taking taylor expansion of (+ (/ (log x) (pow n 2)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ (log x) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (log x) 0) into (log x) * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 n) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (/ (log x) (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (/ (log x) (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 n) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (/ (log x) (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (/ (log x) (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow x 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow x 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow x 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow x 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 n) (/ 1 x))) (* (log x) (* (pow n -2) (/ 1 x)))) into (+ (/ (log x) (* x (pow n 2))) (/ 1 (* x n))) * [misc]approximate: Taking taylor expansion of (+ (+ (/ (/ 1 (/ 1 x)) (/ 1 n)) 0) (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 (/ 1 x)) (/ 1 n)) 0) (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 x)) (/ 1 n)) 0) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ x 1) into x * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* (/ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (/ 1 x)) into (* (log (/ 1 x)) x) * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 (/ 1 x)) (/ 1 n)) 0) (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 x)) (/ 1 n)) 0) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 (pow n 2))) into (* -1 (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 (/ 1 x)) (/ 1 n)) 0) (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 x)) (/ 1 n)) 0) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 (pow n 2))) into (* -1 (* (pow n 2) (log x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (+ n (* -1 (* (pow n 2) (log x)))) into (- n (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (- n (* (pow n 2) (log x))) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (log x)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ 0 (- (log x))) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) 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 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (log x))) 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 (+ (* (- (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) (* 1 (* (/ 1 n) (/ 1 x)))) into (- (/ 1 (* x n)) (/ (log (/ 1 x)) (* x (pow n 2)))) * [misc]approximate: Taking taylor expansion of (+ (+ (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) 0) (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) 0) (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) 0) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x) -1) into x * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* -1 (/ 1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ (log (/ -1 x)) (/ -1 x)) into (* -1 (* x (log (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) 0) (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) 0) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ -1 n) (/ 1 n)) into (/ -1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 (pow n 2))) into (* -1 (* (- (log -1) (log x)) (pow n 2))) * [misc]taylor: Taking taylor expansion of (+ (+ (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) 0) (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) 0) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ -1 n) (/ 1 n)) into (/ -1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 (pow n 2))) into (* -1 (* (- (log -1) (log x)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ n 0) into n * [misc]backup-simplify: Simplify (+ n (* -1 (* (- (log -1) (log x)) (pow n 2)))) into (- (+ (* (pow n 2) (log x)) n) (* (pow n 2) (log -1))) * [misc]taylor: Taking taylor expansion of (- (+ (* (pow n 2) (log x)) n) (* (pow n 2) (log -1))) in n * [misc]taylor: Taking taylor expansion of (+ (* (pow n 2) (log x)) n) in n * [misc]taylor: Taking taylor expansion of (* (pow n 2) (log x)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (log -1)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 0 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) 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 n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (- (log -1) (log x)) (pow n 2))) (/ 0 (/ -1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (- (log -1) (log x)) (pow n 2))) (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (+ (log x) 0) into (log x) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log -1)) into (log -1) * [misc]backup-simplify: Simplify (- (log -1)) into (- (log -1)) * [misc]backup-simplify: Simplify (+ (log x) (- (log -1))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (- (log x) (log -1)) into (- (log x) (log -1)) * [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 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (- (log -1) (log x)) (pow n 2))) (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (log -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 into 0 * [misc]backup-simplify: Simplify (+ (* (- (log (/ 1 (- x))) (log -1)) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) (* 1 (* (/ 1 (- n)) (/ 1 (- x))))) into (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (/ (log (/ -1 x)) (* x (pow n 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (log x) (* n (* x n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log x) (* n (* x n))) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (* n (* x n)) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 x) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 x) (* 0 0))) into x * [misc]backup-simplify: Simplify (/ (log x) x) into (/ (log x) x) * [misc]taylor: Taking taylor expansion of (/ (log x) (* n (* x n))) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* n (* x n)) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* n n) (* 0 0)) into (pow n 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) (pow n 2)) into (/ (log x) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (log x) (* n (* x n))) in x * [misc]taylor: Taking taylor expansion of (log x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* n (* x n)) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* n n) (* 0 0)) into (pow n 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) 0) into (log x) * [misc]backup-simplify: Simplify (/ (log x) (pow n 2)) into (/ (log x) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (log x) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (log x) 1) into (log x) * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 n) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (/ (log x) (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (/ (log x) (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 n) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (/ (log x) (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow x 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow x 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow x 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 n) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow n 2)) (+ (* (/ (log x) (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (* (log x) (* (pow n -2) (/ 1 x))) into (/ (log x) (* x (pow n 2))) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (log (/ 1 x)) into (log (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* (/ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* 1 (/ 1 x)) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (log (/ 1 x)) (/ 1 x)) into (* (log (/ 1 x)) x) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 (pow n 2))) into (* -1 (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 x)) (* (/ 1 n) (* (/ 1 x) (/ 1 n)))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ 1 n) (/ 1 n)) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ (- (log x)) (/ 1 (pow n 2))) into (* -1 (* (pow n 2) (log x))) * [misc]taylor: Taking taylor expansion of (* -1 (* (pow n 2) (log x))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (log x)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (log x)) into (log x) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (* -1 (log x)) into (* -1 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 (pow n 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (log x))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (log x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) 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 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow n 2))) (+ (* (* -1 (* (pow n 2) (log x))) (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))) (* 0 (/ 0 (/ 1 (pow n 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (log (/ 1 x))) (* (pow (/ 1 n) 2) (/ 1 x))) into (* -1 (/ (log (/ 1 x)) (* x (pow n 2)))) * [misc]approximate: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n))))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (log (/ -1 x)) into (log (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* -1 (/ 1 x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ (log (/ -1 x)) (/ -1 x)) into (* -1 (* x (log (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ -1 n) (/ 1 n)) into (/ -1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 (pow n 2))) into (* -1 (* (- (log -1) (log x)) (pow n 2))) * [misc]taylor: Taking taylor expansion of (/ (log (/ 1 (- x))) (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n))))) in x * [misc]taylor: Taking taylor expansion of (log (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (* (/ -1 n) (/ 1 n)) into (/ -1 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ (- (log -1) (log x)) (/ -1 (pow n 2))) into (* -1 (* (- (log -1) (log x)) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1 (* (- (log -1) (log x)) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (- (log -1) (log x)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (- (log -1) (log x)) in n * [misc]taylor: Taking taylor expansion of (log -1) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (log -1) (- (log x))) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- (log -1) (log x)) 1) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log x))) into (* -1 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log x))) into (* -1 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) 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 n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (- (log -1) (log x)) (pow n 2))) (/ 0 (/ -1 (pow n 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (- (log -1) (log x)) (pow n 2))) (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (pow n 2))) (+ (* (* -1 (* (- (log -1) (log x)) (pow n 2))) (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))) (* 0 (/ 0 (/ -1 (pow n 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (- (log -1) (log (/ 1 (- x))))) (* (pow (/ 1 (- n)) 2) (/ 1 (- x)))) into (/ (- (log -1) (log (/ -1 x))) (* x (pow n 2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) n) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 x) 1) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) n) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 n) (/ 1 x))) into (/ 1 (* x n)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ 1 (/ 1 x)) into x * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 (/ x 1) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 x)) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 n) (/ 1 x))) into (/ 1 (* x n)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ 1 (/ -1 x)) into (* -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x) -1) into x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ 1 (- x))) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (/ -1 (/ -1 n)) into n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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) into 0 * [misc]backup-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 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 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 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 n)) (+ (* n (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))) (* 0 (/ 0 (/ -1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- n)) (/ 1 (- x)))) into (/ 1 (* x n)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ -1/2 x) (* x n)) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 x) (* x n)) in n * [misc]taylor: Taking taylor expansion of (/ -1/2 x) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1/2 x) into (/ -1/2 x) * [misc]taylor: Taking taylor expansion of (* x n) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (/ (/ -1/2 x) x) into (/ -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 x) (* x n)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 x) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ -1/2 n) into (/ -1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 x) (* x n)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 x) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]taylor: Taking taylor expansion of (* x n) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ -1/2 n) into (/ -1/2 n) * [misc]taylor: Taking taylor expansion of (/ -1/2 n) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -1/2 n) (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -1/2 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -1/2 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (/ 1 n) (pow x -2))) into (/ -1/2 (* (pow x 2) n)) * [misc]approximate: Taking taylor expansion of (/ (/ -1/2 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 x)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 x)) into (* -1/2 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [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 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (* -1/2 x) (/ 1 x)) into (* -1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ -1/2 1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 (/ 1 x)) (* (/ 1 x) (/ 1 n))) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ -1/2 1) into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 n)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ -1/2 (/ 1 n)) into (* -1/2 n) * [misc]taylor: Taking taylor expansion of (* -1/2 n) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) 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 (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) 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 (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) 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 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* -1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* (/ 1 n) (pow (/ 1 x) 2))) into (/ -1/2 (* (pow x 2) n)) * [misc]approximate: Taking taylor expansion of (/ (/ -1/2 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in (x n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- x))) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (/ -1/2 (/ -1 x)) into (* 1/2 x) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in n * [misc]taylor: Taking taylor expansion of (- x) in n * [misc]taylor: Taking taylor expansion of x in n * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (/ (* 1/2 x) (/ 1 x)) into (* 1/2 (pow x 2)) * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (/ -1/2 -1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (/ (/ -1/2 (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- n)))) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (/ -1/2 -1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- n))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- n)) in x * [misc]taylor: Taking taylor expansion of (- n) in x * [misc]taylor: Taking taylor expansion of n in x * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]backup-simplify: Simplify (* -1 (/ -1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 1/2 (/ 1 n)) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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) (+ (* 1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) 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 n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) 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 n))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 1/2 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 (- n)) (pow (/ 1 (- x)) 2))) into (/ -1/2 (* (pow x 2) n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ (/ 1 x) n) 0)) (cbrt (+ (/ (/ 1 x) n) 0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (fma (* (cbrt (/ (/ 1 x) n)) (cbrt (/ (/ 1 x) n))) (cbrt (+ (/ (/ 1 x) n) 0)) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 4 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ (/ 1 x) n) 0)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (fma (sqrt (/ (/ 1 x) n)) (sqrt (+ (/ (/ 1 x) n) 0)) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 5 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (+ (/ (/ 1 x) n) 0)) (exp (/ (log x) (* n (* x n))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * [exit]simplify: Simplified to (exp (+ (/ (/ 1 x) n) (/ (log x) (* n (* n x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (log (exp (+ (/ (/ 1 x) n) (/ (log x) (* n (* n x)))))))) * * * * [misc]progress: [ 7 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (pow (/ (/ 1 x) n) 3) (pow 0 3)) (* n (* x n))) (* (+ (* (/ (/ 1 x) n) (/ (/ 1 x) n)) (- (* 0 0) (* (/ (/ 1 x) n) 0))) (log x))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (+ (/ (log x) (* (* n x) (* n x))) (/ (* 1 n) (* (* n x) (* n x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (/ (+ (/ (log x) (* (* n x) (* n x))) (/ (* 1 n) (* (* n x) (* n x)))) (* (+ (* (/ (/ 1 x) n) (/ (/ 1 x) n)) (- (* 0 0) (* (/ (/ 1 x) n) 0))) (* n (* x n)))))) * [enter]simplify: Simplifying (* (+ (* (/ (/ 1 x) n) (/ (/ 1 x) n)) (- (* 0 0) (* (/ (/ 1 x) n) 0))) (* n (* x n))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (* n (/ (/ 1 n) x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (/ (+ (/ (log x) (* (* n x) (* n x))) (/ (* 1 n) (* (* n x) (* n x)))) (* n (/ (/ 1 n) x))))) * * * * [misc]progress: [ 14 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (* (/ (/ 1 x) n) (/ (/ 1 x) n)) (* 0 0)) (* n (* x n))) (* (- (/ (/ 1 x) n) 0) (log x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (fma (log x) (/ (/ 1 x) n) (* n (/ (/ 1 x) n))) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (/ (fma (log x) (/ (/ 1 x) n) (* n (/ (/ 1 x) n))) (* (- (/ (/ 1 x) n) 0) (* n (* x n)))))) * [enter]simplify: Simplifying (* (- (/ (/ 1 x) n) 0) (* n (* x n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * [exit]simplify: Simplified to n * [misc]simplify: Simplified (2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (/ (fma (log x) (/ (/ 1 x) n) (* n (/ (/ 1 x) n))) n))) * * * * [misc]progress: [ 15 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) x) (* n n)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (* 1 (+ (/ (/ (log x) x) (* n n)) (/ (/ 1 x) n))))) * * * * [misc]progress: [ 19 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 x) n) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) n) * [misc]simplify: Simplified (2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (/ (/ 1 x) n) (+ 0 (/ (log x) (* n (* x n))))))) * * * * [misc]progress: [ 20 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (log x)) (log (* n (* x n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (- (- (log (log x)) (log (* n n))) (log x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (exp (- (- (log (log x)) (log (* n n))) (log x)))))) * * * * [misc]progress: [ 25 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (log x) (log x)) (log x)) (* (* (* n (* x n)) (* n (* x n))) (* n (* x n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * [exit]simplify: Simplified to (/ (* (/ (log x) n) (/ (log x) (* n x))) (/ (* (* n n) (* n x)) (/ (log x) (* n x)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (cbrt (/ (* (/ (log x) n) (/ (log x) (* n x))) (/ (* (* n n) (* n x)) (/ (log x) (* n x)))))))) * * * * [misc]progress: [ 28 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (log x)) (cbrt (log x))) n) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (log x)) (/ (cbrt (log x)) n)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (* (* (cbrt (log x)) (/ (cbrt (log x)) n)) (/ (cbrt (log x)) (* x n)))))) * [enter]simplify: Simplifying (/ (cbrt (log x)) (* x n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (log x)) (* n x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (* (/ (* (cbrt (log x)) (cbrt (log x))) n) (/ (cbrt (log x)) (* n x)))))) * * * * [misc]progress: [ 33 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (log x)) n) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) n) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (* (/ (sqrt (log x)) n) (/ (sqrt (log x)) (* x n)))))) * [enter]simplify: Simplifying (/ (sqrt (log x)) (* x n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (log x)) (* n x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (* (/ (sqrt (log x)) n) (/ (sqrt (log x)) (* n x)))))) * * * * [misc]progress: [ 34 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 n) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (* (/ 1 n) (/ (log x) (* x n)))))) * [enter]simplify: Simplifying (/ (log x) (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (log x) (* x n)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (* (/ 1 n) (/ (log x) (* x n)))))) * * * * [misc]progress: [ 35 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* x n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x n) * [misc]simplify: Simplified (2 2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (/ (log x) n) (* x n))))) * * * * [misc]progress: [ 39 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log x)) (cbrt (log x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log x)) (cbrt (log x))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (* (cbrt (log x)) (cbrt (log x))) (/ (* n (* x n)) (cbrt (log x))))))) * * * * [misc]progress: [ 40 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log x)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (sqrt (log x)) (/ (* n (* x n)) (sqrt (log x))))))) * * * * [misc]progress: [ 41 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (/ n (cbrt (/ 1 x)))) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 55 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (sqrt (/ 1 x)) (/ n (sqrt (/ 1 x)))) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 56 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ -1/2 x)) (log (* x n))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (- (log (/ -1/2 x)) (log (* x n))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (+ (exp (- (log (/ -1/2 x)) (log (* x n)))) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 63 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ -1/2 x) (/ -1/2 x)) (/ -1/2 x)) (* (* (* x n) (* x n)) (* x n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * [exit]simplify: Simplified to (pow (/ (/ -1/2 n) (* x x)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (+ (cbrt (pow (/ (/ -1/2 n) (* x x)) 3)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 66 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ -1/2 x)) (/ x (cbrt (/ -1/2 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (+ (* (/ (cbrt (/ -1/2 x)) (/ x (cbrt (/ -1/2 x)))) (/ (cbrt (/ -1/2 x)) n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * [enter]simplify: Simplifying (/ (cbrt (/ -1/2 x)) n) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ -1/2 x)) n) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (+ (* (/ (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x))) x) (/ (cbrt (/ -1/2 x)) n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 71 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ -1/2 x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ -1/2 x)) x) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (+ (* (/ (sqrt (/ -1/2 x)) x) (/ (sqrt (/ -1/2 x)) n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * [enter]simplify: Simplifying (/ (sqrt (/ -1/2 x)) n) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ -1/2 x)) n) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (+ (* (/ (sqrt (/ -1/2 x)) x) (/ (sqrt (/ -1/2 x)) n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 72 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (+ (* (/ 1 x) (/ (/ -1/2 x) n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * [enter]simplify: Simplifying (/ (/ -1/2 x) n) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ -1/2 x) n) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (+ (* (/ 1 x) (/ (/ -1/2 x) n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 73 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 x) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ -1/2 x) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (+ (* (/ -1/2 x) (/ (/ 1 x) n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * [enter]simplify: Simplifying (/ (/ 1 x) n) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) n) * [misc]simplify: Simplified (2 1 2) to (λ (x n) (+ (* (/ -1/2 x) (/ (/ 1 x) n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 74 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (+ (/ (* (cbrt (/ -1/2 x)) (cbrt (/ -1/2 x))) (/ (* x n) (cbrt (/ -1/2 x)))) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 79 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ -1/2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ -1/2 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x n) (+ (/ (sqrt (/ -1/2 x)) (/ (* x n) (sqrt (/ -1/2 x)))) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 80 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 94 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (log x) (* x (pow n 2))) (/ 1 (* x n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (+ (/ (log x) (* (* n n) x)) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (/ (log x) (* (* n n) x)) (/ (/ 1 x) n)))) * * * * [misc]progress: [ 84 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x n)) (/ (log (/ 1 x)) (* x (pow n 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* n x)) (/ (/ (log x) n) (* n x))) * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (/ 1 (* n x)) (/ (/ (log x) n) (* n x))))) * * * * [misc]progress: [ 85 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (log -1) (* x (pow n 2))) (/ 1 (* x n))) (/ (log (/ -1 x)) (* x (pow n 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (+ (/ (/ (log x) (* n n)) x) (/ (/ 1 x) n)) * [misc]simplify: Simplified (2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (/ (/ (log x) (* n n)) x) (/ (/ 1 x) n)))) * * * * [misc]progress: [ 86 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (log x) (* x (pow n 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (log x) (* (* x n) n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* (* x n) n))))) * * * * [misc]progress: [ 87 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ (log (/ 1 x)) (* x (pow n 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (/ (log x) (* (* x n) n)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* (* x n) n))))) * * * * [misc]progress: [ 88 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (log -1) (log (/ -1 x))) (* x (pow n 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (/ (log x) n) (* n x)) * [misc]simplify: Simplified (2 2 2) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ (/ 1 x) n) 0) (/ (/ (log x) n) (* n x))))) * * * * [misc]progress: [ 89 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ 1 (* n x)) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 90 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ 1 (* n x)) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 91 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* n x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x n) (+ (/ (/ -1/2 x) (* x n)) (+ (+ (/ 1 (* n x)) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 92 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ -1/2 (* x x)) n) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (/ (/ -1/2 (* x x)) n) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 93 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ -1/2 (* x x)) n) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (/ (/ -1/2 (* x x)) n) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * * [misc]progress: [ 94 / 94 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1/2 (* (pow x 2) n)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (/ -1/2 (* x x)) n) * [misc]simplify: Simplified (2 1) to (λ (x n) (+ (/ (/ -1/2 (* x x)) n) (+ (+ (/ (/ 1 x) n) 0) (/ (log x) (* n (* x n)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (n x) * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # #) * * * [misc]regime: Found split indices: #