* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 71 additional inputs, on iter 1 have 185 / 256 * * * * [misc]points: Computing exacts on every 4 of 71 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 71 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 71 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 2 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 3 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (- (* (/ (* n 100) i) (pow (+ 1 (/ i n)) n)) (/ (* n 100) i)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in n * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i 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 (log (+ 1 (/ i n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ i 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 (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log 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]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 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 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 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 0 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 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- 1/2 (* 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 (* 1/2 (/ 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 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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (pow n 2))) 1/6) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow n 2))) 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 (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 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [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 (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow (* 1 i) 3)) (+ (* 1/2 (pow (* 1 i) 2)) (* 1 (* 1 i)))) into (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 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 (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 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 (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) * [misc]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [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 (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 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 (- (+ (* 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 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) 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 (/ (- (log n) (log i)) n)) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow 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 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 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 (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 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 (- (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) 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 (/ (- (log n) (log i)) n)) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) 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 (/ (- (log n) (log i)) n)) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 6) 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) 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 (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) 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 (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * [misc]approximate: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [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 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 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) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) 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 (/ (- (log n) (log i)) n))) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 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 (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 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) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) 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 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) 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 (/ (- (log n) (log i)) n))) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 6) 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) 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 (/ (- (log n) (log i)) n))) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) 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 0 into 0 * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in n * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i 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 (log (+ 1 (/ i n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ i 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 (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [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 1) 1)))) 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 0 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 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- 1/2 (* 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 (* 1/2 (/ 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 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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (* 1 i) 2)) (+ (* 1 (* 1 i)) 1)) into (+ i (+ (* 1/2 (pow i 2)) 1)) * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 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 (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 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 (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) * [misc]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 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 (- (+ (* 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 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 4))) 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 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (* 1/2 (/ 1 (pow 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 (/ 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 (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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) (* 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 0) (* 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 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 (- (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) * [misc]taylor: Taking taylor expansion of (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) 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 6)) in n * [misc]taylor: Taking taylor expansion of (pow n 6) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) 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 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (* 1/2 (/ 1 (pow n 5))) 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 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 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 (+ (* 1/2 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 (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 -1/2) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * [misc]approximate: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [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 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (- 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) 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) 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow 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 (/ 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 (* 1/2 (/ 1 (pow n 4))) 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 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) 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]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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/2) (* 0 1/2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) 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 (- 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 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 (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))))) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ 1 (pow n 6))) 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 6)) in n * [misc]taylor: Taking taylor expansion of (pow n 6) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 5))) 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 5)) in n * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow n 4))) 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 (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (pow n 4) 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]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 0 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6))))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 0) (+ (* 0 1/3) (+ (* 0 1/2) (* 0 1/6)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/3) (+ (* 0 1/2) (* 0 1/6))) into (* 1/3 (exp (* -1 (/ (- (log n) (log i)) n)))) * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/2) (* 0 1/6)) into (* 1/2 (exp (* -1 (/ (- (log n) (log i)) n)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) 1/6) into (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n)))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/3 (exp (* -1 (/ (- (log n) (log i)) n))))) (+ (* 0 (* 1/2 (exp (* -1 (/ (- (log n) (log i)) n))))) (* 0 (* 1/6 (exp (* -1 (/ (- (log n) (log i)) n))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in n * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i 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 (log (+ 1 (/ i n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ i 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 (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log 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]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 0 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 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2 (* 1/2 (/ 1 n))) (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n) 1/2) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) 1/2) 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n) 1/2) (/ 0 (/ 1 n))))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 n) (* 1/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 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 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 (/ 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 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 1) (* 0 0))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 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]approximate: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 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 (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 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 (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) * [misc]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 i)) 1) (/ 1 i)) into (* (- (exp (/ 1 i)) 1) i) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) * [misc]taylor: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 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) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [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 (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 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 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 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 (- (+ (* (/ 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 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) * [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 (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) 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 (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) 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 (/ (- (log n) (log i)) n)) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) 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) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 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 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 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 (- (+ (* (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) * [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 (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) 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 (/ (- (log n) (log i)) n)) (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 7) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) 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 (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) 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 (/ (- (log n) (log i)) n)) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 6) 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) 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 (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) (* (/ 1 (/ 1 n)) (/ 1 i))) into (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i) * [misc]approximate: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [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 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (/ 1 i))) 1) (/ 1 i)) into (* (- (exp (- (/ 1 i))) 1) i) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) * [misc]taylor: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 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) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 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) 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 (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) * [misc]taylor: Taking taylor expansion of (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow 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 (- (+ (* -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 (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) 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 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) 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 (/ (- (log n) (log i)) n))) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) 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) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) 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 (/ (- (log n) (log i)) n))) (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 7) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) 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 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) 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 (/ (- (log n) (log i)) n))) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 6) 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) 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 0 into 0 * [misc]backup-simplify: Simplify (* (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in n * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i 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 (log (+ 1 (/ i n))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ i 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 (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow i 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log 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]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (/ (- (log i) (log n)) i) into (/ (- (log i) (log n)) i) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ i n)) n) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ i n)) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (+ 1 (/ i n))))) in i * [misc]taylor: Taking taylor expansion of (* n (log (+ 1 (/ i n)))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ i n))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* n (/ 1 n)) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ 1 n)) into n * [misc]backup-simplify: Simplify (* 100 n) into (* 100 n) * [misc]taylor: Taking taylor expansion of (* 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* n (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)))) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2 (* 1/2 (/ 1 n))) 0) into (- 1/2 (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2 (* 1/2 (/ 1 n))) (/ 1 n)) (+ (* n (/ 0 (/ 1 n))))) into (- (* 1/2 n) 1/2) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/2 n) 1/2)) (* 0 n)) into (- (* 50 n) 50) * [misc]taylor: Taking taylor expansion of (- (* 50 n) 50) in n * [misc]taylor: Taking taylor expansion of (* 50 n) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [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 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 1) (* 0 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 (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 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 (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (+ (* n (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 0)))) into (* 1/3 (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow (- (* 1/2 (/ 1 n))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 2))) 1) 1)))) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) 0) into (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/3 (/ 1 (pow n 2))) 1/6) (* 1/2 (/ 1 n))) (/ 1 n)) (+ (* n (/ 0 (/ 1 n))) (* (- (* 1/2 n) 1/2) (/ 0 (/ 1 n))))) into (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 n) (* 1/3 (/ 1 n))) 1/2)) (+ (* 0 (- (* 1/2 n) 1/2)) (* 0 n))) into (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 n) (* 100/3 (/ 1 n))) 50) in n * [misc]taylor: Taking taylor expansion of (+ (* 50/3 n) (* 100/3 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 50/3 n) in n * [misc]taylor: Taking taylor expansion of 50/3 in n * [misc]backup-simplify: Simplify 50/3 into 50/3 * [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 (* 100/3 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 100/3 in n * [misc]backup-simplify: Simplify 100/3 into 100/3 * [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 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (+ (* 0 1) (* 0 0))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 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 (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 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 (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* 0 0)) into (/ 1 i) * [misc]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 i)) 1) (/ 1 i)) into (* (- (exp (/ 1 i)) 1) i) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 i) (/ 1 n))) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (+ 1 (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) into (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) * [misc]backup-simplify: Simplify (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 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) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (/ 1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 1) 1)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) 0) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) * [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 (- (/ (/ (exp (/ (- (log n) (log i)) n)) (pow n 2)) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)))) into (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) * [misc]backup-simplify: Simplify (+ (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))) into (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 100 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))) 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 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (- (* 1/2 (/ 1 (pow n 3)))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)))) into (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (pow n 4))) (* 1/2 (/ 1 (pow n 3)))) (exp (/ (- (log n) (log i)) n))) 0) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) * [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 (- (/ (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)))) into (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)))) into (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) * [misc]taylor: Taking taylor expansion of (- (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) 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) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) 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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))) 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 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (* 1/3 (/ 1 (pow n 4))) * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow (/ 1 (pow n 2)) 3) 6)) (* (/ (pow (/ 1 (pow n 2)) 1) 1) (/ (pow (- (* 1/2 (/ 1 (pow n 3)))) 1) 1)) (* (/ (pow (* 1/3 (/ 1 (pow n 4))) 1) 1)))) into (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ (- (log n) (log i)) n)) (- (+ (* 1/6 (/ 1 (pow n 6))) (* 1/3 (/ 1 (pow n 4)))) (* 1/2 (/ 1 (pow n 5))))) 0) into (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) * [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 (- (/ (- (+ (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))) (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) n) (+ (* (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) (/ 0 n)) (* (/ (exp (/ (- (log n) (log i)) n)) (pow n 3)) (/ 0 n)) (* (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 1/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))))) (+ (* 0 (- (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) (* 1/2 (/ (exp (/ (- (log n) (log i)) n)) (pow n 4))))) (+ (* 0 (/ (exp (/ (- (log n) (log i)) n)) (pow n 3))) (* 0 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n))))) into (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)))) in n * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 7))) in n * [misc]taylor: Taking taylor expansion of 50/3 in n * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 7) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (/ (- (log n) (log i)) n)) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 100/3 in n * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ (- (log n) (log i)) n)) (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ (- (log n) (log i)) n)) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow n 6) 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ (- (log n) (log i)) n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ (- (log n) (log i)) n)))))))) 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 (* (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) * [misc]approximate: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in n * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow 1 1)))) 1) into (/ 1 i) * [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 (/ 1 i)) (* 0 0)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (- (/ 1 i))) 1) (/ 1 i)) into (* (- (exp (- (/ 1 i))) 1) i) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (- (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) 1) in i * [misc]taylor: Taking taylor expansion of (pow (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (+ 1 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) into (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) * [misc]backup-simplify: Simplify (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 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) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow n 1)))) 1) into (/ 1 n) * [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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1 n)) (* 0 (- (log n) (log i)))) into (- (/ 1 (pow n 2))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 1) 1)))) into (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) 0) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 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) 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 (- (/ (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 2))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)))) into (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) * [misc]backup-simplify: Simplify (+ (* 100 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))) into (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) * [misc]taylor: Taking taylor expansion of (- (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) in n * [misc]taylor: Taking taylor expansion of (* 100 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into (/ -1/2 (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i))))) into (* 1/2 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 2) 2)) (* (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)))) into (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))) 0) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow 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 (- (+ (* -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 (- (/ (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)))) into (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) * [misc]backup-simplify: Simplify (+ (* 100 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)))) into (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) in n * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 4) 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 (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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) (+ (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) 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) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into (/ 1/3 (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) (/ 1/3 (pow n 3))) (+ (* 0 (/ -1/2 (pow n 2))) (+ (* 0 (/ 1 n)) (* 0 (- (log n) (log i)))))) into (- (* 1/3 (/ 1 (pow n 4)))) * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow (- (/ 1 (pow n 2))) 3) 6)) (* (/ (pow (- (/ 1 (pow n 2))) 1) 1) (/ (pow (* 1/2 (/ 1 (pow n 3))) 1) 1)) (* (/ (pow (- (* 1/3 (/ 1 (pow n 4)))) 1) 1)))) into (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* 1/6 (/ 1 (pow n 6))) (+ (* 1/2 (/ 1 (pow n 5))) (* 1/3 (/ 1 (pow n 4))))))) 0) into (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ (- (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))))) n) (+ (* (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) (/ 0 n)) (* (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3))) (/ 0 n)) (* (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4)))) (/ 0 n)))) into (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 1/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))))) (+ (* 0 (+ (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 1/2 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 4))))) (+ (* 0 (- (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 3)))) (* 0 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n))))) into (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))))) in n * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7))) in n * [misc]taylor: Taking taylor expansion of 50/3 in n * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 7)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 7) 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)))) in n * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5))) in n * [misc]taylor: Taking taylor expansion of 100/3 in n * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 5)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 5) 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6))) in n * [misc]taylor: Taking taylor expansion of 50 in n * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (* -1 (/ (- (log n) (log i)) n))) (pow n 6)) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow n 6) 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 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) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 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 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* -1 (/ (- (log n) (log i)) n))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (/ (- (log n) (log i)) n))))))))) 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 0 into 0 * [misc]backup-simplify: Simplify (* (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ 1 (/ i n))) n) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (* (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (- (pow (sqrt (+ 1 (/ i n))) n) 1)) (/ i n)))) * * * * [misc]progress: [ 12 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (+ (/ i n) 1) n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (- (sqrt (pow (+ 1 (/ i n)) n)) 1)) (/ i n)))) * * * * [misc]progress: [ 13 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (/ i n))) n) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* n (log (+ (/ i n) 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (exp (* n (log (+ (/ i n) 1)))) 1) (/ i n)))) * * * * [misc]progress: [ 15 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (/ i n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (/ i n) 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (pow (+ (/ i n) 1) (* 1 n)) 1) (/ i n)))) * * * * [misc]progress: [ 17 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (+ 1 (/ i n))) (cbrt (+ 1 (/ i n)))) n) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (+ (/ i n) 1)) (cbrt (+ (/ i n) 1))) n) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (* (pow (* (cbrt (+ (/ i n) 1)) (cbrt (+ (/ i n) 1))) n) (pow (cbrt (+ 1 (/ i n))) n)) 1) (/ i n)))) * * * * [misc]progress: [ 18 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (+ 1 (/ i n))) n) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (pow (sqrt (+ (/ i n) 1)) n) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (* (pow (sqrt (+ (/ i n) 1)) n) (pow (sqrt (+ 1 (/ i n))) n)) 1) (/ i n)))) * * * * [misc]progress: [ 19 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 n) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (* 1 (pow (+ 1 (/ i n)) n)) 1) (/ i n)))) * * * * [misc]progress: [ 20 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (pow (+ 1 (/ i n)) n) 1)) (log (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (log (- (pow (+ (/ i n) 1) n) 1)) (log (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (exp (- (log (- (pow (+ (/ i n) 1) n) 1)) (log (/ i n)))))) * * * * [misc]progress: [ 29 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (pow (+ 1 (/ i n)) n) 1) (- (pow (+ 1 (/ i n)) n) 1)) (- (pow (+ 1 (/ i n)) n) 1)) (* (* (/ i n) (/ i n)) (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (pow (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (cbrt (pow (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) 3)))) * * * * [misc]progress: [ 32 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (+ 1 (/ i n)) n) (/ i n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (pow (+ (/ i n) 1) n) (/ i n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (- (/ (pow (+ (/ i n) 1) n) (/ i n)) (/ 1 (/ i n))))) * * * * [misc]progress: [ 37 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n)))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n)))))) * * * * [misc]progress: [ 38 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) (cbrt (- (pow (+ (/ i n) 1) n) 1))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n)))))) * * * * [misc]progress: [ 39 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n))))) * * * * [misc]progress: [ 40 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) i) (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n))))) * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* n (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i) (* n (cbrt (- (pow (+ (/ i n) 1) n) 1)))))) * * * * [misc]progress: [ 41 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n)))))) * * * * [misc]progress: [ 42 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n)))))) * * * * [misc]progress: [ 43 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (+ (/ i n) 1) n) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n))))) * * * * [misc]progress: [ 44 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) i) (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n))))) * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* n (sqrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i) (* n (sqrt (- (pow (+ (/ i n) 1) n) 1)))))) * * * * [misc]progress: [ 45 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ i n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (/ 1 (cbrt (/ i n))) (cbrt (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (+ (/ i n) 1) n) 1) (cbrt (/ i n)))))) * * * * [misc]progress: [ 46 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ i n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ 1 (sqrt (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (sqrt (/ i n))) (/ (- (pow (+ (/ i n) 1) n) 1) (sqrt (/ i n)))))) * * * * [misc]progress: [ 47 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* 1 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))) * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* 1 (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))))) * * * * [misc]progress: [ 48 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 i) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ 1 i) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n))))) * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* n (pow (+ (/ i n) 1) n)) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 i) (- (* n (pow (+ (/ i n) 1) n)) n)))) * * * * [misc]progress: [ 49 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n)))))) * * * * [misc]progress: [ 50 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (sqrt (/ i n))) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt (/ i n)))))) * * * * [misc]progress: [ 51 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (/ i n))))) * * * * [misc]progress: [ 52 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) i) (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n))))) * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (pow (sqrt (+ (/ i n) 1)) n) 1) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i) (* (- (pow (sqrt (+ (/ i n) 1)) n) 1) n)))) * * * * [misc]progress: [ 53 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (cbrt (/ i n)))))) * * * * [misc]progress: [ 54 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (sqrt (/ i n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (sqrt (/ i n)))))) * * * * [misc]progress: [ 55 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (+ (/ i n) 1) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (/ i n))))) * * * * [misc]progress: [ 56 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) i) (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n))))) * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (sqrt (pow (+ (/ i n) 1) n)) 1) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i) (* (- (sqrt (pow (+ (/ i n) 1) n)) 1) n)))) * * * * [misc]progress: [ 57 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (/ (/ (- (pow (+ 1 (/ i n)) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))) * * * * [misc]progress: [ 61 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (/ (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n))) (sqrt (/ i n))))) * * * * [misc]progress: [ 62 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (/ (/ (- (pow (+ 1 (/ i n)) n) 1) 1) (/ i n)))) * * * * [misc]progress: [ 63 / 117 ] 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 (i n) (* 100 (/ (/ (- (pow (+ 1 (/ i n)) n) 1) i) (/ 1 n)))) * * * * [misc]progress: [ 64 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (* (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (- (pow (+ (/ i n) 1) n) 1))) (/ (/ i n) (cbrt (- (pow (+ 1 (/ i n)) n) 1)))))) * * * * [misc]progress: [ 65 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (+ 1 (/ i n)) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (- (pow (+ (/ i n) 1) n) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ (/ i n) (sqrt (- (pow (+ 1 (/ i n)) n) 1)))))) * * * * [misc]progress: [ 66 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (+ 1 (/ i n))) n) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ 1 (pow (sqrt (+ (/ i n) 1)) n)) (/ (/ i n) (- (pow (sqrt (+ 1 (/ i n))) n) 1))))) * * * * [misc]progress: [ 68 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (+ (/ i n) 1) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ 1 (sqrt (pow (+ (/ i n) 1) n))) (/ (/ i n) (- (sqrt (pow (+ 1 (/ i n)) n)) 1))))) * * * * [misc]progress: [ 69 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow (+ 1 (/ i n)) n) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (- (pow (pow (+ (/ i n) 1) n) 3) 1) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (- (pow (pow (+ (/ i n) 1) n) 3) 1) (* (/ i n) (+ (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (+ (* 1 1) (* (pow (+ 1 (/ i n)) n) 1))))))) * * * * [misc]progress: [ 71 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (* 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (- (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)) 1) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (- (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)) 1) (* (/ i n) (+ (pow (+ 1 (/ i n)) n) 1))))) * * * * [misc]progress: [ 72 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (* (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (cbrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))))) (cbrt (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))))) * * * * [misc]progress: [ 80 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (sqrt (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))) (sqrt (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n))))) * * * * [misc]progress: [ 81 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))))) * * * * [misc]progress: [ 82 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) (sqrt (/ i n)))) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))))) * * * * [misc]progress: [ 83 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) 1)) (/ (cbrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)))) * * * * [misc]progress: [ 84 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* n (cbrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (- (pow (+ 1 (/ i n)) n) 1))) i)) (* n (cbrt (- (pow (+ (/ i n) 1) n) 1))))) * * * * [misc]progress: [ 85 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (cbrt (/ i n))))) * * * * [misc]progress: [ 86 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (sqrt (/ i n)))) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (sqrt (/ i n))))) * * * * [misc]progress: [ 87 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) 1)) (/ (sqrt (- (pow (+ (/ i n) 1) n) 1)) (/ i n)))) * * * * [misc]progress: [ 88 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* n (sqrt (- (pow (+ (/ i n) 1) n) 1))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (- (pow (+ 1 (/ i n)) n) 1)) i)) (* n (sqrt (- (pow (+ (/ i n) 1) n) 1))))) * * * * [misc]progress: [ 89 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (+ (/ i n) 1) n) 1) (cbrt (/ i n))))) * * * * [misc]progress: [ 90 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (- (pow (+ (/ i n) 1) n) 1) (sqrt (/ i n))))) * * * * [misc]progress: [ 91 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 1)) (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)))) * * * * [misc]progress: [ 92 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* n (pow (+ (/ i n) 1) n)) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 i)) (- (* n (pow (+ (/ i n) 1) n)) n))) * * * * [misc]progress: [ 93 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (cbrt (/ i n))))) * * * * [misc]progress: [ 94 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) (sqrt (/ i n)))) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (sqrt (/ i n))))) * * * * [misc]progress: [ 95 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) 1)) (/ (- (pow (sqrt (+ (/ i n) 1)) n) 1) (/ i n)))) * * * * [misc]progress: [ 96 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (sqrt (+ 1 (/ i n))) n) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (pow (sqrt (+ (/ i n) 1)) n) 1) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i)) (* (- (pow (sqrt (+ (/ i n) 1)) n) 1) n))) * * * * [misc]progress: [ 97 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (cbrt (/ i n))))) * * * * [misc]progress: [ 98 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) (sqrt (/ i n)))) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (sqrt (/ i n))))) * * * * [misc]progress: [ 99 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) 1)) (/ (- (sqrt (pow (+ (/ i n) 1) n)) 1) (/ i n)))) * * * * [misc]progress: [ 100 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (pow (+ 1 (/ i n)) n)) 1) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (- (sqrt (pow (+ (/ i n) 1) n)) 1) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i)) (* (- (sqrt (pow (+ (/ i n) 1) n)) 1) n))) * * * * [misc]progress: [ 101 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 1) (/ (- (pow (+ (/ i n) 1) n) 1) (/ i n)))) * * * * [misc]progress: [ 102 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ i n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ n i) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ n i))) * * * * [misc]progress: [ 103 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* 100 (- (pow (+ 1 (/ i n)) n) 1)) (/ i n))) * * * * [misc]progress: [ 105 / 117 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ i (+ (* 1/2 (pow i 2)) (* 1/6 (pow i 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (+ i (* (* i i) (+ (* 1/6 i) 1/2))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ i (* (* i i) (+ (* 1/6 i) 1/2))) (/ i n)))) * * * * [misc]progress: [ 107 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (+ -1 (pow (/ i n) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ -1 (pow (/ i n) n)) (/ i n)))) * * * * [misc]progress: [ 108 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ i n)))) * * * * [misc]progress: [ 109 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (+ i (+ (* 1/2 (pow i 2)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (+ (* (* i i) 1/2) (+ 1 i)) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (- (+ (* (* i i) 1/2) (+ 1 i)) 1) (/ i n)))) * * * * [misc]progress: [ 110 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (pow (/ i n) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (- (pow (/ i n) n) 1) (/ i n)))) * * * * [misc]progress: [ 111 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (- (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) 1) (/ i n)))) * * * * [misc]progress: [ 112 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 0)) * * * * [misc]progress: [ 113 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (/ (- (pow (/ i n) n) 1) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (/ (- (pow (/ i n) n) 1) (/ i n)))) * * * * [misc]progress: [ 114 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n i)))) * * * * [misc]progress: [ 115 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (i n) 0) * * * * [misc]progress: [ 116 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) * [misc]simplify: Simplified (2) to (λ (i n) (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 117 / 117 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n (/ i 100))) * [misc]simplify: Simplified (2) to (λ (i n) (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n (/ i 100)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (pow (/ i n) n) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log (/ i 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 (log (/ i n)) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log i) (log n)))) into (- (log i) (log 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]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* (+ (log (/ 1 n)) (log i)) n)) -1) into (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* (+ (log (/ 1 n)) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (* (+ (log (/ 1 n)) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 n)) (log i)) in n * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* (- (log i) (log n)) 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 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 1) (* 0 0)) into (- (log i) (log 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (+ (log (/ 1 n)) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ 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 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (/ (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) into (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) (pow (* n 1) 3)) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) (pow (* n 1) 2)) (* (- (log i) (log n)) (* n 1)))) into (- (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) (+ (* 1/6 (* (pow n 3) (pow (log i) 3))) (+ (* n (log i)) (+ (* 1/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 1/6 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 1/2 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 1/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/6 (* (pow n 3) (pow (log n) 3))) (+ (* 1/6 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* n (log n)))))))) * [misc]approximate: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 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 (log (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (/ 1 i)) (log n))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) into (exp (/ (log (/ n i)) n)) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [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 (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) 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 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ 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 (- (+ (* (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * [misc]approximate: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* -1 (+ (log (/ 1 i)) (log n))) into (* -1 (+ (log (/ 1 i)) (log n))) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) into (exp (* -1 (/ (log (/ n i)) n))) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 1) 1)))) 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 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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ 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) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (pow (/ i n) n) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log (/ i 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 (log (/ i n)) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of (exp (* (+ (log (/ 1 n)) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (* (+ (log (/ 1 n)) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 n)) (log i)) in n * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* (- (log i) (log n)) 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 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 1) (* 0 0)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (+ (log (/ 1 n)) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) 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 i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) 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 (/ 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 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) (pow (* n 1) 2)) (+ (* (- (log i) (log n)) (* n 1)) 1)) into (- (+ (* 1/2 (* (pow n 2) (pow (log i) 2))) (+ (* n (log i)) (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) 1))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (* n (log n))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 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 (log (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (/ 1 i)) (log n))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) into (exp (/ (log (/ n i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (- (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* -1 (+ (log (/ 1 i)) (log n))) into (* -1 (+ (log (/ 1 i)) (log n))) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) into (exp (* -1 (/ (log (/ n i)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (- 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 100 (/ i n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (/ 100 i) into (/ 100 i) * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (* 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (+ (* 100 1) (* 0 0)) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 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 (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 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 (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 n)) (+ (* (* 100 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 (* 100 (* n (/ 1 i))) into (* 100 (/ n i)) * [misc]approximate: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ 100 (/ 1 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (/ 100 1) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [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 n) (+ (* (/ 100 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) (+ (* 100 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 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 (- (+ (* (/ 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 100 (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ n i)) * [misc]approximate: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ 100 (/ 1 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (/ 100 1) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 100 (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ n i)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) in n * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (/ 100 i) into (/ 100 i) * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log (/ i 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 (log (/ i n)) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log i) (log n)))) into (- (log i) (log 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]taylor: Taking taylor expansion of (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* (+ (log (/ 1 n)) (log i)) n)) -1) into (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) * [misc]backup-simplify: Simplify (* (* 100 n) (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1)) into (* 100 (* (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (* (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (* (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* (+ (log (/ 1 n)) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (* (+ (log (/ 1 n)) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 n)) (log i)) in n * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* (- (log i) (log n)) 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 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 1) (* 0 0)) into (- (log i) (log 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]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 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (+ (log (/ 1 n)) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 100 n) 0) (* 0 (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 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 (- (+ (* 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 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 100 (- (log i) (log n))) (+ (* 0 0) (* 0 0))) into (- (* 100 (log i)) (* 100 (log n))) * [misc]backup-simplify: Simplify (- (* 100 (log i)) (* 100 (log n))) into (- (* 100 (log i)) (* 100 (log n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 100 n) 0) (+ (* 0 0) (* 0 (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 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 (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 0) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 1) (* (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 0)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 0 (- (log i) (log n))) (+ (* 0 0) (* 0 0)))) into (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) into (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 100 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow i 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow i 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow i 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow i 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 4) 24)) (* (/ (pow (- (log i) (log n)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/24 (pow (log n) 4)) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/8 (* (pow (log i) 2) (pow (log n) 2)))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (* 1/8 (* (pow (log i) 3) (log n))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/24 (pow (log n) 4)) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/8 (* (pow (log i) 2) (pow (log n) 2)))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (* 1/8 (* (pow (log i) 3) (log n))))))) 0) into (- (+ (* 1/24 (pow (log n) 4)) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/8 (* (pow (log i) 2) (pow (log n) 2)))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (* 1/8 (* (pow (log i) 3) (log n))))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 0) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) (+ (* (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 1) (* (- (+ (* 1/24 (pow (log n) 4)) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/8 (* (pow (log i) 2) (pow (log n) 2)))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (* 1/8 (* (pow (log i) 3) (log n))))))) 0))))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n))))))) (+ (* 0 (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 0 (- (log i) (log n))) (+ (* 0 0) (* 0 0))))) into (- (+ (* 50/3 (pow (log i) 3)) (+ (* 100/3 (* (pow (log n) 2) (log i))) (* 50/3 (* (log i) (pow (log n) 2))))) (+ (* 50/3 (pow (log n) 3)) (+ (* 50/3 (* (log n) (pow (log i) 2))) (* 100/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- (+ (* 50/3 (pow (log i) 3)) (+ (* 100/3 (* (pow (log n) 2) (log i))) (* 50/3 (* (log i) (pow (log n) 2))))) (+ (* 50/3 (pow (log n) 3)) (+ (* 50/3 (* (log n) (pow (log i) 2))) (* 100/3 (* (pow (log i) 2) (log n)))))) into (- (+ (* 50/3 (* (log i) (pow (log n) 2))) (+ (* 50/3 (pow (log i) 3)) (* 100/3 (* (pow (log n) 2) (log i))))) (+ (* 100/3 (* (pow (log i) 2) (log n))) (+ (* 50/3 (pow (log n) 3)) (* 50/3 (* (log n) (pow (log i) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 50/3 (* (log i) (pow (log n) 2))) (+ (* 50/3 (pow (log i) 3)) (* 100/3 (* (pow (log n) 2) (log i))))) (+ (* 100/3 (* (pow (log i) 2) (log n))) (+ (* 50/3 (pow (log n) 3)) (* 50/3 (* (log n) (pow (log i) 2)))))) (* (pow n 4) (/ 1 i))) (+ (* (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) (* (pow n 3) (/ 1 i))) (* (- (* 100 (log i)) (* 100 (log n))) (* (pow n 2) (/ 1 i))))) into (- (+ (* 100/3 (/ (* (pow n 4) (* (pow (log n) 2) (log i))) i)) (+ (* 50/3 (/ (* (pow n 4) (* (log i) (pow (log n) 2))) i)) (+ (* 50/3 (/ (* (pow n 4) (pow (log i) 3)) i)) (+ (* 100 (/ (* (pow n 2) (log i)) i)) (+ (* 50 (/ (* (pow n 3) (pow (log i) 2)) i)) (* 50 (/ (* (pow n 3) (pow (log n) 2)) i))))))) (+ (* 50/3 (/ (* (pow n 4) (pow (log n) 3)) i)) (+ (* 50/3 (/ (* (pow n 4) (* (log n) (pow (log i) 2))) i)) (+ (* 50 (/ (* (pow n 3) (* (log n) (log i))) i)) (+ (* 100/3 (/ (* (pow n 4) (* (pow (log i) 2) (log n))) i)) (+ (* 100 (/ (* (pow n 2) (log n)) i)) (* 50 (/ (* (pow n 3) (* (log i) (log n))) i)))))))) * [misc]approximate: Taking taylor expansion of (* (/ 100 (/ (/ 1 i) (/ 1 n))) (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 i) (/ 1 n))) (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1)) in n * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ 100 (/ 1 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 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 (log (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (/ 1 i)) (log n))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) into (exp (/ (log (/ n i)) n)) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 i) (/ 1 n))) (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 i) (/ 1 n))) (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (* (/ 100 n) (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 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) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 n) (+ (* (/ 100 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 n) (+ (* (/ 100 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 n) (+ (* (/ 100 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) * [misc]approximate: Taking taylor expansion of (* (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1)) in n * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ 100 (/ 1 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* -1 (+ (log (/ 1 i)) (log n))) into (* -1 (+ (log (/ 1 i)) (log n))) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) into (exp (* -1 (/ (log (/ n i)) n))) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (* (/ 100 n) (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 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) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 1) 1)))) 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 (- 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 n) (+ (* (/ 100 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ i n)) n) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (/ i n)) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (* (+ 1 (pow (sqrt (/ i n)) n)) (- (pow (sqrt (/ i n)) n) 1)))) * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (/ i n) n)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (/ i n) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (* (+ 1 (sqrt (pow (/ i n) n))) (- (sqrt (pow (/ i n) n)) 1)))) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ i n)) n) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (log (/ i n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (exp (* (log (/ i n)) n)) -1))) * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (pow (/ i n) (* 1 n)) -1))) * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (* (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) (pow (cbrt (/ i n)) n)) -1))) * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ i n)) n) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (pow (sqrt (/ i n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (* (pow (sqrt (/ i n)) n) (pow (sqrt (/ i n)) n)) -1))) * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 n) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (* 1 (pow (/ i n) n)) -1))) * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow i n) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow i n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (* (pow i n) (pow (/ 1 n) n)) -1))) * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ i n)) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ i n)) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 100 (sqrt (/ i n))) (sqrt (/ i n))) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 100 1) (/ i n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 40 / 81 ] 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 (i n) (* (/ (/ 100 i) (/ 1 n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (- (* (/ 100 (/ i n)) (pow (/ i n) n)) (/ 100 (/ i n))) * [misc]simplify: Simplified (2 1) to (λ (i n) (pow (- (* (/ 100 (/ i n)) (pow (/ i n) n)) (/ 100 (/ i n))) 1)) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 100 (/ i n))) (log (+ (pow (/ i n) n) -1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (+ (log (+ -1 (pow (/ i n) n))) (log (/ 100 (/ i n)))) * [misc]simplify: Simplified (2 1) to (λ (i n) (exp (+ (log (+ -1 (pow (/ i n) n))) (log (/ 100 (/ i n)))))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 100 (/ i n)) (/ 100 (/ i n))) (/ 100 (/ i n))) (* (* (+ (pow (/ i n) n) -1) (+ (pow (/ i n) n) -1)) (+ (pow (/ i n) n) -1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (+ (pow (/ i n) n) -1) (+ (pow (/ i n) n) -1)) (* (+ (pow (/ i n) n) -1) (/ (* (/ 10000 i) (* 100 n)) (* (/ i n) (/ i n))))) * [misc]simplify: Simplified (2 1) to (λ (i n) (cbrt (* (* (+ (pow (/ i n) n) -1) (+ (pow (/ i n) n) -1)) (* (+ (pow (/ i n) n) -1) (/ (* (/ 10000 i) (* 100 n)) (* (/ i n) (/ i n))))))) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (+ (pow (pow (/ i n) n) 3) (pow -1 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (+ (* (* (pow (/ i n) n) (pow (/ i n) n)) (* (pow (/ i n) n) 100)) -100) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (+ (* (* (pow (/ i n) n) (pow (/ i n) n)) (* (pow (/ i n) n) 100)) -100) (* (/ i n) (+ (* (pow (/ i n) n) (pow (/ i n) n)) (- (* -1 -1) (* (pow (/ i n) n) -1)))))) * [enter]simplify: Simplifying (* (/ i n) (+ (* (pow (/ i n) n) (pow (/ i n) n)) (- (* -1 -1) (* (pow (/ i n) n) -1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (+ (* (pow (/ i n) (+ n 1)) (pow (/ i n) n)) (+ (pow (/ i n) (+ n 1)) (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* 100 (+ (pow (pow (/ i n) n) 3) (pow -1 3))) (+ (* (pow (/ i n) (+ n 1)) (pow (/ i n) n)) (+ (pow (/ i n) (+ n 1)) (/ i n))))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (- (* (pow (/ i n) n) (pow (/ i n) n)) (* -1 -1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (* 100 (+ (* (pow (/ i n) n) (pow (/ i n) n)) -1)) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (* 100 (+ (* (pow (/ i n) n) (pow (/ i n) n)) -1)) (* (/ i n) (- (pow (/ i n) n) -1)))) * [enter]simplify: Simplifying (* (/ i n) (- (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (+ (pow (/ i n) (+ 1 n)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* 100 (+ (* (pow (/ i n) n) (pow (/ i n) n)) -1)) (+ (pow (/ i n) (+ 1 n)) (/ i n)))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 100 (/ i n)) -1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ -100 (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (+ (* (/ 100 (/ i n)) (pow (/ i n) n)) (/ -100 (/ i n)))) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ 100 (/ i n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ -100 (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (+ (* (pow (/ i n) n) (/ 100 (/ i n))) (/ -100 (/ i n)))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (/ i n) n) -1)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) (* (cbrt (+ (pow (/ i n) n) -1)) (cbrt (+ (pow (/ i n) n) -1)))) (cbrt (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ i n) n) -1)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) (sqrt (+ (pow (/ i n) n) -1))) (sqrt (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ i n) n) -1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (+ (pow (/ i n) n) -1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) 1) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (/ i n)) n) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (pow (sqrt (/ i n)) n) 1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) (+ (pow (sqrt (/ i n)) n) 1)) (- (pow (sqrt (/ i n)) n) 1))) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (pow (/ i n) n)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (/ i n) n)) 1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) (+ (sqrt (pow (/ i n) n)) 1)) (- (sqrt (pow (/ i n) n)) 1))) * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 100 (/ i n))) (cbrt (/ 100 (/ i n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 100 (/ i n))) (cbrt (/ 100 (/ i n)))) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (cbrt (/ 100 (/ i n))) (cbrt (/ 100 (/ i n)))) (* (cbrt (/ 100 (/ i n))) (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 100 (/ i n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 100 (/ i n))) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (sqrt (/ 100 (/ i n))) (* (sqrt (/ 100 (/ i n))) (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 100 i) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 100 i) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (/ 100 i) (* n (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow (/ i n) n) (pow (/ i n) n)) (- (* -1 -1) (* (pow (/ i n) n) -1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (+ (- (pow (/ i n) n) -1) (* (pow (/ i n) n) (pow (/ i n) n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* (/ 100 (/ i n)) (+ (pow (pow (/ i n) n) 3) (pow -1 3))) (+ (- (pow (/ i n) n) -1) (* (pow (/ i n) n) (pow (/ i n) n))))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ i n) n) -1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (pow (/ i n) n) -1) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* (/ 100 (/ i n)) (- (* (pow (/ i n) n) (pow (/ i n) n)) (* -1 -1))) (- (pow (/ i n) n) -1))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (+ (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (+ (* (pow (/ i n) n) 100) -100) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (+ (* (pow (/ i n) n) 100) -100) (/ i n))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) (+ (* 1/6 (* (pow n 3) (pow (log i) 3))) (+ (* n (log i)) (+ (* 1/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 1/6 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 1/2 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 1/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/6 (* (pow n 3) (pow (log n) 3))) (+ (* 1/6 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* n (log n)))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (* (* 1/6 n) (* n n)) (pow (log i) 3)) (* (* (* n n) 1/2) (* (log n) (log n)))) (+ (* (* (* (log i) (pow n 3)) (* (log n) (log n))) 1/2) (+ (* (* (log i) (log i)) (* (* n n) 1/2)) (* n (log i))))) (+ (+ (* (* (* 1/3 n) (* n n)) (* (log n) (* (log i) (log i)))) (* (* (* (log i) (* n n)) (log n)) 1)) (+ (+ (* (pow (log n) 3) (* (* 1/6 n) (* n n))) (* n (log n))) (* (* (* 1/6 n) (* n n)) (* (log n) (* (log i) (log i))))))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 (/ i n)) (- (+ (+ (* (* (* 1/6 n) (* n n)) (pow (log i) 3)) (* (* (* n n) 1/2) (* (log n) (log n)))) (+ (* (* (* (log i) (pow n 3)) (* (log n) (log n))) 1/2) (+ (* (* (log i) (log i)) (* (* n n) 1/2)) (* n (log i))))) (+ (+ (* (* (* 1/3 n) (* n n)) (* (log n) (* (log i) (log i)))) (* (* (* (log i) (* n n)) (log n)) 1)) (+ (+ (* (pow (log n) 3) (* (* 1/6 n) (* n n))) (* n (log n))) (* (* (* 1/6 n) (* n n)) (* (log n) (* (log i) (log i))))))))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (+ -1 (pow (/ i n) n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 (/ i n)) (+ -1 (pow (/ i n) n)))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 (/ i n)) (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow n 2) (pow (log i) 2))) (+ (* n (log i)) (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) 1))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (* n (log n))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (* (log n) (log n)) (* (* 1/2 n) n)) 1) (* (* (log i) (log i)) (* (* 1/2 n) n))) (- (* (log i) n) (+ (* (* (log i) n) (* (log n) n)) (* (log n) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (+ (+ (+ (* (* (log n) (log n)) (* (* 1/2 n) n)) 1) (* (* (log i) (log i)) (* (* 1/2 n) n))) (- (* (log i) n) (+ (* (* (log i) n) (* (log n) n)) (* (log n) n)))) -1))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (pow (/ i n) n) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 100/3 (/ (* (pow n 4) (* (pow (log n) 2) (log i))) i)) (+ (* 50/3 (/ (* (pow n 4) (* (log i) (pow (log n) 2))) i)) (+ (* 50/3 (/ (* (pow n 4) (pow (log i) 3)) i)) (+ (* 100 (/ (* (pow n 2) (log i)) i)) (+ (* 50 (/ (* (pow n 3) (pow (log i) 2)) i)) (* 50 (/ (* (pow n 3) (pow (log n) 2)) i))))))) (+ (* 50/3 (/ (* (pow n 4) (pow (log n) 3)) i)) (+ (* 50/3 (/ (* (pow n 4) (* (log n) (pow (log i) 2))) i)) (+ (* 50 (/ (* (pow n 3) (* (log n) (log i))) i)) (+ (* 100/3 (/ (* (pow n 4) (* (pow (log i) 2) (log n))) i)) (+ (* 100 (/ (* (pow n 2) (log n)) i)) (* 50 (/ (* (pow n 3) (* (log i) (log n))) i)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* (pow n 4) 100/3) (/ (/ i (log i)) (* (log n) (log n)))) (/ (* 50/3 (pow n 4)) (/ (/ i (log i)) (* (log n) (log n))))) (+ (* (+ (* (/ (pow n 3) i) (* (log n) (log n))) (* (/ (pow n 3) i) (* (log i) (log i)))) 50) (+ (/ (* 100 (* n n)) (/ i (log i))) (/ (* (pow n 4) 50/3) (/ (/ i (log i)) (* (log i) (log i))))))) (+ (+ (+ (* (* (/ (pow n 3) i) (* (log n) (log i))) 50) (/ (* (pow n 4) 100/3) (/ (/ i (log n)) (* (log i) (log i))))) (+ (/ (* 100 (* n n)) (/ i (log n))) (* (* (/ (pow n 3) i) (* (log n) (log i))) 50))) (+ (/ (* 50/3 (pow n 4)) (/ (/ i (log n)) (* (log n) (log n)))) (/ (* (pow n 4) 50/3) (/ (/ i (log n)) (* (log i) (log i))))))) * [misc]simplify: Simplified (2) to (λ (i n) (- (+ (+ (/ (* (pow n 4) 100/3) (/ (/ i (log i)) (* (log n) (log n)))) (/ (* 50/3 (pow n 4)) (/ (/ i (log i)) (* (log n) (log n))))) (+ (* (+ (* (/ (pow n 3) i) (* (log n) (log n))) (* (/ (pow n 3) i) (* (log i) (log i)))) 50) (+ (/ (* 100 (* n n)) (/ i (log i))) (/ (* (pow n 4) 50/3) (/ (/ i (log i)) (* (log i) (log i))))))) (+ (+ (+ (* (* (/ (pow n 3) i) (* (log n) (log i))) 50) (/ (* (pow n 4) 100/3) (/ (/ i (log n)) (* (log i) (log i))))) (+ (/ (* 100 (* n n)) (/ i (log n))) (* (* (/ (pow n 3) i) (* (log n) (log i))) 50))) (+ (/ (* 50/3 (pow n 4)) (/ (/ i (log n)) (* (log n) (log n)))) (/ (* (pow n 4) 50/3) (/ (/ i (log n)) (* (log i) (log i)))))))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) * [misc]simplify: Simplified (2) to (λ (i n) (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n (/ i 100))) * [misc]simplify: Simplified (2) to (λ (i n) (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n (/ i 100)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (pow (/ i n) n) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log (/ i 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 (log (/ i n)) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log i) (log n)))) into (- (log i) (log 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]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* (+ (log (/ 1 n)) (log i)) n)) -1) into (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* (+ (log (/ 1 n)) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (* (+ (log (/ 1 n)) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 n)) (log i)) in n * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* (- (log i) (log n)) 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 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 1) (* 0 0)) into (- (log i) (log 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (+ (log (/ 1 n)) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ 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 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (/ (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) into (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) (pow (* n 1) 3)) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) (pow (* n 1) 2)) (* (- (log i) (log n)) (* n 1)))) into (- (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) (+ (* 1/6 (* (pow n 3) (pow (log i) 3))) (+ (* n (log i)) (+ (* 1/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 1/6 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 1/2 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 1/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/6 (* (pow n 3) (pow (log n) 3))) (+ (* 1/6 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* n (log n)))))))) * [misc]approximate: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 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 (log (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (/ 1 i)) (log n))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) into (exp (/ (log (/ n i)) n)) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [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 (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) 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 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ 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 (- (+ (* (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * [misc]approximate: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* -1 (+ (log (/ 1 i)) (log n))) into (* -1 (+ (log (/ 1 i)) (log n))) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) into (exp (* -1 (/ (log (/ n i)) n))) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 1) 1)))) 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 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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ 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) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (pow (/ i n) n) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log (/ i 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 (log (/ i n)) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of (exp (* (+ (log (/ 1 n)) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (* (+ (log (/ 1 n)) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 n)) (log i)) in n * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* (- (log i) (log n)) 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 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 1) (* 0 0)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (+ (log (/ 1 n)) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) 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 i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) 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 (/ 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 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) (pow (* n 1) 2)) (+ (* (- (log i) (log n)) (* n 1)) 1)) into (- (+ (* 1/2 (* (pow n 2) (pow (log i) 2))) (+ (* n (log i)) (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) 1))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (* n (log n))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 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 (log (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (/ 1 i)) (log n))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) into (exp (/ (log (/ n i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (- (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* -1 (+ (log (/ 1 i)) (log n))) into (* -1 (+ (log (/ 1 i)) (log n))) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) into (exp (* -1 (/ (log (/ n i)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (- 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 100 (/ i n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (/ 100 i) into (/ 100 i) * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (* 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (+ (* 100 1) (* 0 0)) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 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 (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 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 (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 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 (/ 1 n)) (+ (* (* 100 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 (* 100 (* n (/ 1 i))) into (* 100 (/ n i)) * [misc]approximate: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ 100 (/ 1 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (/ 100 1) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [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 n) (+ (* (/ 100 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) (+ (* 100 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 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 (- (+ (* (/ 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 100 (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ n i)) * [misc]approximate: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ 100 (/ 1 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (/ 100 1) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 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) (+ (* 100 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 100 (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ n i)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) in n * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (/ 100 i) into (/ 100 i) * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log (/ i 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 (log (/ i n)) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log i) (log n)))) into (- (log i) (log 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]taylor: Taking taylor expansion of (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ i n)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* (+ (log (/ 1 n)) (log i)) n)) -1) into (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) * [misc]backup-simplify: Simplify (* (* 100 n) (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1)) into (* 100 (* (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (* (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (* (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* (+ (log (/ 1 n)) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (* (+ (log (/ 1 n)) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 n)) (log i)) in n * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* (- (log i) (log n)) 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 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 1) (* 0 0)) into (- (log i) (log 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]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 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 1) (* (- (log i) (log n)) 0)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (+ (log (/ 1 n)) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 n) (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 100 n) 0) (* 0 (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 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 (- (+ (* 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 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 1) (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 100 (- (log i) (log n))) (+ (* 0 0) (* 0 0))) into (- (* 100 (log i)) (* 100 (log n))) * [misc]backup-simplify: Simplify (- (* 100 (log i)) (* 100 (log n))) into (- (* 100 (log i)) (* 100 (log n))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 100 n) 0) (+ (* 0 0) (* 0 (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 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 (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 0) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 1) (* (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 0)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 0 (- (log i) (log n))) (+ (* 0 0) (* 0 0)))) into (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) into (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 n)) (+ (* (* 100 n) (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))) (* 0 (/ 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 100 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow i 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow i 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow i 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow i 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 4) 24)) (* (/ (pow (- (log i) (log n)) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/24 (pow (log n) 4)) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/8 (* (pow (log i) 2) (pow (log n) 2)))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (* 1/8 (* (pow (log i) 3) (log n))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/24 (pow (log n) 4)) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/8 (* (pow (log i) 2) (pow (log n) 2)))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (* 1/8 (* (pow (log i) 3) (log n))))))) 0) into (- (+ (* 1/24 (pow (log n) 4)) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/8 (* (pow (log i) 2) (pow (log n) 2)))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (* 1/8 (* (pow (log i) 3) (log n))))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (- (log i) (log n)) 0) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) (+ (* (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 1) (* (- (+ (* 1/24 (pow (log n) 4)) (+ (* 1/8 (* (pow (log n) 2) (pow (log i) 2))) (+ (* 1/24 (pow (log i) 4)) (* 1/8 (* (pow (log i) 2) (pow (log n) 2)))))) (+ (* 1/24 (* (log n) (pow (log i) 3))) (+ (* 1/8 (* (pow (log n) 3) (log i))) (+ (* 1/24 (* (log i) (pow (log n) 3))) (* 1/8 (* (pow (log i) 3) (log n))))))) 0))))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n))))))) (+ (* 0 (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 0 (- (log i) (log n))) (+ (* 0 0) (* 0 0))))) into (- (+ (* 50/3 (pow (log i) 3)) (+ (* 100/3 (* (pow (log n) 2) (log i))) (* 50/3 (* (log i) (pow (log n) 2))))) (+ (* 50/3 (pow (log n) 3)) (+ (* 50/3 (* (log n) (pow (log i) 2))) (* 100/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- (+ (* 50/3 (pow (log i) 3)) (+ (* 100/3 (* (pow (log n) 2) (log i))) (* 50/3 (* (log i) (pow (log n) 2))))) (+ (* 50/3 (pow (log n) 3)) (+ (* 50/3 (* (log n) (pow (log i) 2))) (* 100/3 (* (pow (log i) 2) (log n)))))) into (- (+ (* 50/3 (* (log i) (pow (log n) 2))) (+ (* 50/3 (pow (log i) 3)) (* 100/3 (* (pow (log n) 2) (log i))))) (+ (* 100/3 (* (pow (log i) 2) (log n))) (+ (* 50/3 (pow (log n) 3)) (* 50/3 (* (log n) (pow (log i) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 50/3 (* (log i) (pow (log n) 2))) (+ (* 50/3 (pow (log i) 3)) (* 100/3 (* (pow (log n) 2) (log i))))) (+ (* 100/3 (* (pow (log i) 2) (log n))) (+ (* 50/3 (pow (log n) 3)) (* 50/3 (* (log n) (pow (log i) 2)))))) (* (pow n 4) (/ 1 i))) (+ (* (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) (* (pow n 3) (/ 1 i))) (* (- (* 100 (log i)) (* 100 (log n))) (* (pow n 2) (/ 1 i))))) into (- (+ (* 100/3 (/ (* (pow n 4) (* (pow (log n) 2) (log i))) i)) (+ (* 50/3 (/ (* (pow n 4) (* (log i) (pow (log n) 2))) i)) (+ (* 50/3 (/ (* (pow n 4) (pow (log i) 3)) i)) (+ (* 100 (/ (* (pow n 2) (log i)) i)) (+ (* 50 (/ (* (pow n 3) (pow (log i) 2)) i)) (* 50 (/ (* (pow n 3) (pow (log n) 2)) i))))))) (+ (* 50/3 (/ (* (pow n 4) (pow (log n) 3)) i)) (+ (* 50/3 (/ (* (pow n 4) (* (log n) (pow (log i) 2))) i)) (+ (* 50 (/ (* (pow n 3) (* (log n) (log i))) i)) (+ (* 100/3 (/ (* (pow n 4) (* (pow (log i) 2) (log n))) i)) (+ (* 100 (/ (* (pow n 2) (log n)) i)) (* 50 (/ (* (pow n 3) (* (log i) (log n))) i)))))))) * [misc]approximate: Taking taylor expansion of (* (/ 100 (/ (/ 1 i) (/ 1 n))) (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 i) (/ 1 n))) (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1)) in n * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ 100 (/ 1 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 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 (log (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (/ 1 i)) (log n))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) into (exp (/ (log (/ n i)) n)) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 i) (/ 1 n))) (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 i) (/ 1 n))) (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (* (/ 100 n) (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (exp (/ (- (log n) (log i)) n)) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 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) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ (- (log n) (log i)) n)) 1) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) into (* 100 (- (exp (/ (- (log n) (log i)) n)) 1)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 n) (+ (* (/ 100 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 n) (+ (* (/ 100 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 n) (+ (* (/ 100 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (/ (- (log n) (log i)) n)) 1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (/ (- (log n) (log i)) n)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 100 (- (exp (/ (- (log (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1)) (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) * [misc]approximate: Taking taylor expansion of (* (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1)) in n * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ 100 (/ 1 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* -1 (+ (log (/ 1 i)) (log n))) into (* -1 (+ (log (/ 1 i)) (log n))) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) into (exp (* -1 (/ (log (/ n i)) n))) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1)) in i * [misc]taylor: Taking taylor expansion of (/ 100 (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (/ 100 n) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (* (/ 100 n) (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n) in n * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 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) into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)) into (* 100 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 1) 1)))) 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 (- 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 n) (+ (* (/ 100 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 n) (+ (* (/ 100 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 100 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (exp (* -1 (/ (- (log n) (log i)) n))) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 100 (- (exp (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1)) (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ i n)) n) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (/ i n)) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (* (+ 1 (pow (sqrt (/ i n)) n)) (- (pow (sqrt (/ i n)) n) 1)))) * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (/ i n) n)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (/ i n) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (* (+ 1 (sqrt (pow (/ i n) n))) (- (sqrt (pow (/ i n) n)) 1)))) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ i n)) n) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (log (/ i n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (exp (* (log (/ i n)) n)) -1))) * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (pow (/ i n) (* 1 n)) -1))) * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (* (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) (pow (cbrt (/ i n)) n)) -1))) * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ i n)) n) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (pow (sqrt (/ i n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (* (pow (sqrt (/ i n)) n) (pow (sqrt (/ i n)) n)) -1))) * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 n) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (* 1 (pow (/ i n) n)) -1))) * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow i n) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow i n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (* (pow i n) (pow (/ 1 n) n)) -1))) * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (/ i n)) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ i n)) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 100 (sqrt (/ i n))) (sqrt (/ i n))) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 100 1) (/ i n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 40 / 81 ] 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 (i n) (* (/ (/ 100 i) (/ 1 n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (- (* (/ 100 (/ i n)) (pow (/ i n) n)) (/ 100 (/ i n))) * [misc]simplify: Simplified (2 1) to (λ (i n) (pow (- (* (/ 100 (/ i n)) (pow (/ i n) n)) (/ 100 (/ i n))) 1)) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 100 (/ i n))) (log (+ (pow (/ i n) n) -1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (+ (log (+ -1 (pow (/ i n) n))) (log (/ 100 (/ i n)))) * [misc]simplify: Simplified (2 1) to (λ (i n) (exp (+ (log (+ -1 (pow (/ i n) n))) (log (/ 100 (/ i n)))))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 100 (/ i n)) (/ 100 (/ i n))) (/ 100 (/ i n))) (* (* (+ (pow (/ i n) n) -1) (+ (pow (/ i n) n) -1)) (+ (pow (/ i n) n) -1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (* (+ (pow (/ i n) n) -1) (+ (pow (/ i n) n) -1)) (* (+ (pow (/ i n) n) -1) (/ (* (/ 10000 i) (* 100 n)) (* (/ i n) (/ i n))))) * [misc]simplify: Simplified (2 1) to (λ (i n) (cbrt (* (* (+ (pow (/ i n) n) -1) (+ (pow (/ i n) n) -1)) (* (+ (pow (/ i n) n) -1) (/ (* (/ 10000 i) (* 100 n)) (* (/ i n) (/ i n))))))) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (+ (pow (pow (/ i n) n) 3) (pow -1 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (+ (* (* (pow (/ i n) n) (pow (/ i n) n)) (* (pow (/ i n) n) 100)) -100) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (+ (* (* (pow (/ i n) n) (pow (/ i n) n)) (* (pow (/ i n) n) 100)) -100) (* (/ i n) (+ (* (pow (/ i n) n) (pow (/ i n) n)) (- (* -1 -1) (* (pow (/ i n) n) -1)))))) * [enter]simplify: Simplifying (* (/ i n) (+ (* (pow (/ i n) n) (pow (/ i n) n)) (- (* -1 -1) (* (pow (/ i n) n) -1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (+ (* (pow (/ i n) (+ n 1)) (pow (/ i n) n)) (+ (pow (/ i n) (+ n 1)) (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* 100 (+ (pow (pow (/ i n) n) 3) (pow -1 3))) (+ (* (pow (/ i n) (+ n 1)) (pow (/ i n) n)) (+ (pow (/ i n) (+ n 1)) (/ i n))))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (- (* (pow (/ i n) n) (pow (/ i n) n)) (* -1 -1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (* 100 (+ (* (pow (/ i n) n) (pow (/ i n) n)) -1)) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (* 100 (+ (* (pow (/ i n) n) (pow (/ i n) n)) -1)) (* (/ i n) (- (pow (/ i n) n) -1)))) * [enter]simplify: Simplifying (* (/ i n) (- (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (+ (pow (/ i n) (+ 1 n)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* 100 (+ (* (pow (/ i n) n) (pow (/ i n) n)) -1)) (+ (pow (/ i n) (+ 1 n)) (/ i n)))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 100 (/ i n)) -1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ -100 (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (+ (* (/ 100 (/ i n)) (pow (/ i n) n)) (/ -100 (/ i n)))) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ 100 (/ i n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ -100 (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (+ (* (pow (/ i n) n) (/ 100 (/ i n))) (/ -100 (/ i n)))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ (pow (/ i n) n) -1)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) (* (cbrt (+ (pow (/ i n) n) -1)) (cbrt (+ (pow (/ i n) n) -1)))) (cbrt (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow (/ i n) n) -1)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) (sqrt (+ (pow (/ i n) n) -1))) (sqrt (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ i n) n) -1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (+ (pow (/ i n) n) -1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) 1) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (/ i n)) n) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (pow (sqrt (/ i n)) n) 1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) (+ (pow (sqrt (/ i n)) n) 1)) (- (pow (sqrt (/ i n)) n) 1))) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (pow (/ i n) n)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (pow (/ i n) n)) 1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* (/ 100 (/ i n)) (+ (sqrt (pow (/ i n) n)) 1)) (- (sqrt (pow (/ i n) n)) 1))) * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 100 (/ i n))) (cbrt (/ 100 (/ i n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 100 (/ i n))) (cbrt (/ 100 (/ i n)))) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (cbrt (/ 100 (/ i n))) (cbrt (/ 100 (/ i n)))) (* (cbrt (/ 100 (/ i n))) (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 100 (/ i n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 100 (/ i n))) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (sqrt (/ 100 (/ i n))) (* (sqrt (/ 100 (/ i n))) (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 100 i) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 100 i) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (/ 100 i) (* n (+ (pow (/ i n) n) -1)))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow (/ i n) n) (pow (/ i n) n)) (- (* -1 -1) (* (pow (/ i n) n) -1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (+ (- (pow (/ i n) n) -1) (* (pow (/ i n) n) (pow (/ i n) n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* (/ 100 (/ i n)) (+ (pow (pow (/ i n) n) 3) (pow -1 3))) (+ (- (pow (/ i n) n) -1) (* (pow (/ i n) n) (pow (/ i n) n))))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ i n) n) -1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (pow (/ i n) n) -1) * [misc]simplify: Simplified (2 2) to (λ (i n) (/ (* (/ 100 (/ i n)) (- (* (pow (/ i n) n) (pow (/ i n) n)) (* -1 -1))) (- (pow (/ i n) n) -1))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (+ (pow (/ i n) n) -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (+ (* (pow (/ i n) n) 100) -100) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (+ (* (pow (/ i n) n) 100) -100) (/ i n))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) (+ (* 1/6 (* (pow n 3) (pow (log i) 3))) (+ (* n (log i)) (+ (* 1/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 1/6 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 1/2 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 1/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/6 (* (pow n 3) (pow (log n) 3))) (+ (* 1/6 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* n (log n)))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (* (* 1/6 n) (* n n)) (pow (log i) 3)) (* (* (* n n) 1/2) (* (log n) (log n)))) (+ (* (* (* (log i) (pow n 3)) (* (log n) (log n))) 1/2) (+ (* (* (log i) (log i)) (* (* n n) 1/2)) (* n (log i))))) (+ (+ (* (* (* 1/3 n) (* n n)) (* (log n) (* (log i) (log i)))) (* (* (* (log i) (* n n)) (log n)) 1)) (+ (+ (* (pow (log n) 3) (* (* 1/6 n) (* n n))) (* n (log n))) (* (* (* 1/6 n) (* n n)) (* (log n) (* (log i) (log i))))))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 (/ i n)) (- (+ (+ (* (* (* 1/6 n) (* n n)) (pow (log i) 3)) (* (* (* n n) 1/2) (* (log n) (log n)))) (+ (* (* (* (log i) (pow n 3)) (* (log n) (log n))) 1/2) (+ (* (* (log i) (log i)) (* (* n n) 1/2)) (* n (log i))))) (+ (+ (* (* (* 1/3 n) (* n n)) (* (log n) (* (log i) (log i)))) (* (* (* (log i) (* n n)) (log n)) 1)) (+ (+ (* (pow (log n) 3) (* (* 1/6 n) (* n n))) (* n (log n))) (* (* (* 1/6 n) (* n n)) (* (log n) (* (log i) (log i))))))))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (+ -1 (pow (/ i n) n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 (/ i n)) (+ -1 (pow (/ i n) n)))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 (/ i n)) (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow n 2) (pow (log i) 2))) (+ (* n (log i)) (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) 1))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (* n (log n))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (* (log n) (log n)) (* (* 1/2 n) n)) 1) (* (* (log i) (log i)) (* (* 1/2 n) n))) (- (* (log i) n) (+ (* (* (log i) n) (* (log n) n)) (* (log n) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (+ (+ (+ (* (* (log n) (log n)) (* (* 1/2 n) n)) 1) (* (* (log i) (log i)) (* (* 1/2 n) n))) (- (* (log i) n) (+ (* (* (log i) n) (* (log n) n)) (* (log n) n)))) -1))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (pow (/ i n) n) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 100 (/ i n)) (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 100/3 (/ (* (pow n 4) (* (pow (log n) 2) (log i))) i)) (+ (* 50/3 (/ (* (pow n 4) (* (log i) (pow (log n) 2))) i)) (+ (* 50/3 (/ (* (pow n 4) (pow (log i) 3)) i)) (+ (* 100 (/ (* (pow n 2) (log i)) i)) (+ (* 50 (/ (* (pow n 3) (pow (log i) 2)) i)) (* 50 (/ (* (pow n 3) (pow (log n) 2)) i))))))) (+ (* 50/3 (/ (* (pow n 4) (pow (log n) 3)) i)) (+ (* 50/3 (/ (* (pow n 4) (* (log n) (pow (log i) 2))) i)) (+ (* 50 (/ (* (pow n 3) (* (log n) (log i))) i)) (+ (* 100/3 (/ (* (pow n 4) (* (pow (log i) 2) (log n))) i)) (+ (* 100 (/ (* (pow n 2) (log n)) i)) (* 50 (/ (* (pow n 3) (* (log i) (log n))) i)))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (* (pow n 4) 100/3) (/ (/ i (log i)) (* (log n) (log n)))) (/ (* 50/3 (pow n 4)) (/ (/ i (log i)) (* (log n) (log n))))) (+ (* (+ (* (/ (pow n 3) i) (* (log n) (log n))) (* (/ (pow n 3) i) (* (log i) (log i)))) 50) (+ (/ (* 100 (* n n)) (/ i (log i))) (/ (* (pow n 4) 50/3) (/ (/ i (log i)) (* (log i) (log i))))))) (+ (+ (+ (* (* (/ (pow n 3) i) (* (log n) (log i))) 50) (/ (* (pow n 4) 100/3) (/ (/ i (log n)) (* (log i) (log i))))) (+ (/ (* 100 (* n n)) (/ i (log n))) (* (* (/ (pow n 3) i) (* (log n) (log i))) 50))) (+ (/ (* 50/3 (pow n 4)) (/ (/ i (log n)) (* (log n) (log n)))) (/ (* (pow n 4) 50/3) (/ (/ i (log n)) (* (log i) (log i))))))) * [misc]simplify: Simplified (2) to (λ (i n) (- (+ (+ (/ (* (pow n 4) 100/3) (/ (/ i (log i)) (* (log n) (log n)))) (/ (* 50/3 (pow n 4)) (/ (/ i (log i)) (* (log n) (log n))))) (+ (* (+ (* (/ (pow n 3) i) (* (log n) (log n))) (* (/ (pow n 3) i) (* (log i) (log i)))) 50) (+ (/ (* 100 (* n n)) (/ i (log i))) (/ (* (pow n 4) 50/3) (/ (/ i (log i)) (* (log i) (log i))))))) (+ (+ (+ (* (* (/ (pow n 3) i) (* (log n) (log i))) 50) (/ (* (pow n 4) 100/3) (/ (/ i (log n)) (* (log i) (log i))))) (+ (/ (* 100 (* n n)) (/ i (log n))) (* (* (/ (pow n 3) i) (* (log n) (log i))) 50))) (+ (/ (* 50/3 (pow n 4)) (/ (/ i (log n)) (* (log n) (log n)))) (/ (* (pow n 4) 50/3) (/ (/ i (log n)) (* (log i) (log i)))))))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ (* (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) n) i)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1)) * [misc]simplify: Simplified (2) to (λ (i n) (* (/ 100 (/ i n)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ (* n (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1)) i)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (422 enodes) * [exit]simplify: Simplified to (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n (/ i 100))) * [misc]simplify: Simplified (2) to (λ (i n) (* (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) (/ n (/ i 100)))) * * * [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 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (pow (/ i n) n) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log (/ i 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 (log (/ i n)) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log i) (log n)))) into (- (log i) (log 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]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ i n) n) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* (+ (log (/ 1 n)) (log i)) n)) -1) into (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* (+ (log (/ 1 n)) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* (+ (log (/ 1 n)) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (* (+ (log (/ 1 n)) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 n)) (log i)) in n * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* (- (log i) (log n)) 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 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 1) (* 0 0)) into (- (log i) (log 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (+ (log (/ 1 n)) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) 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 (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (log i) (log n)) 0) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ 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 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) 0) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 n) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (/ (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (pow (log i) 3)) (+ (* 1/3 (* (pow (log n) 2) (log i))) (* 1/6 (* (log i) (pow (log n) 2))))) (+ (* 1/6 (pow (log n) 3)) (+ (* 1/6 (* (log n) (pow (log i) 2))) (* 1/3 (* (pow (log i) 2) (log n)))))) into (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/6 (* (log i) (pow (log n) 2))) (+ (* 1/6 (pow (log i) 3)) (* 1/3 (* (pow (log n) 2) (log i))))) (+ (* 1/3 (* (pow (log i) 2) (log n))) (+ (* 1/6 (pow (log n) 3)) (* 1/6 (* (log n) (pow (log i) 2)))))) (pow (* n 1) 3)) (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) (pow (* n 1) 2)) (* (- (log i) (log n)) (* n 1)))) into (- (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) (+ (* 1/6 (* (pow n 3) (pow (log i) 3))) (+ (* n (log i)) (+ (* 1/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 1/6 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 1/2 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 1/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/6 (* (pow n 3) (pow (log n) 3))) (+ (* 1/6 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* n (log n)))))))) * [misc]approximate: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 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 (log (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (/ 1 i)) (log n))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) into (exp (/ (log (/ n i)) n)) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]taylor: Taking taylor expansion of (- (exp (/ (- (log n) (log i)) n)) 1) in n * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [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 (/ (- (log n) (log i)) n)) -1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [misc]backup-simplify: Simplify (- (exp (/ (- (log n) (log i)) n)) 1) into (- (exp (/ (- (log n) (log i)) n)) 1) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 1) 1)))) 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 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 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ 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 (- (+ (* (/ 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) n)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (/ 1 n)) (log (/ 1 i))) (/ 1 n))) 1) into (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * [misc]approximate: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in n * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* -1 (+ (log (/ 1 i)) (log n))) into (* -1 (+ (log (/ 1 i)) (log n))) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) into (exp (* -1 (/ (log (/ n i)) n))) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) -1) in i * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of -1 in i * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (exp (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) in n * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 (* -1 (/ (- (log n) (log i)) n))) -1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) * [misc]backup-simplify: Simplify (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (- (exp (* -1 (/ (- (log n) (log i)) n))) 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 (- 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 1) 1)))) 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 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) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (+ 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) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) 1) into (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (pow (/ i n) n) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in n * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log (/ i 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 (log (/ i n)) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]backup-simplify: Simplify (log i) into (log i) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ i n) n) in i * [misc]taylor: Taking taylor expansion of (exp (* n (log (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log (/ i n))) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (log (/ i n)) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (* n (+ (log (/ 1 n)) (log i))) into (* (+ (log (/ 1 n)) (log i)) n) * [misc]backup-simplify: Simplify (exp (* (+ (log (/ 1 n)) (log i)) n)) into (exp (* (+ (log (/ 1 n)) (log i)) n)) * [misc]taylor: Taking taylor expansion of (exp (* (+ (log (/ 1 n)) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (* (+ (log (/ 1 n)) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (+ (log (/ 1 n)) (log i)) in n * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (- (log n)) * [misc]backup-simplify: Simplify (+ (- (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* (- (log i) (log n)) 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 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 1) (* 0 0)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 (+ (log (/ 1 n)) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) 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 i) (log n)) 1) 1)))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) (log (/ 1 n))) into (+ (log (/ 1 n)) (log i)) * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 (+ (log (/ 1 n)) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* (+ (log (/ 1 n)) (log i)) 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 (/ 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 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log i) (log n)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow 0 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) into (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (pow (log n) 2)) (* 1/2 (pow (log i) 2))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) (pow (* n 1) 2)) (+ (* (- (log i) (log n)) (* n 1)) 1)) into (- (+ (* 1/2 (* (pow n 2) (pow (log i) 2))) (+ (* n (log i)) (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) 1))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (* n (log n))))) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 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 (log (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* 1 (+ (log (/ 1 i)) (log n))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) into (exp (/ (log (/ n i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 i) (/ 1 n)) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (log (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ 1 n) (- (log n) (log i))) into (/ (- (log n) (log i)) n) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]taylor: Taking taylor expansion of (exp (/ (- (log n) (log i)) n)) in n * [misc]taylor: Taking taylor expansion of (/ (- (log n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (/ (- (log n) (log i)) n)) into (exp (/ (- (log n) (log i)) n)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (- (+ (* 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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 i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ 1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (- (log n) (log i)) 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 (/ 1 n)) (log (/ 1 i))) (/ 1 n))) into (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * [misc]approximate: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (log (/ 1 i)) into (log (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (/ 1 i))) into (+ (log (/ 1 i)) (log n)) * [misc]backup-simplify: Simplify (* -1 (+ (log (/ 1 i)) (log n))) into (* -1 (+ (log (/ 1 i)) (log n))) * [misc]backup-simplify: Simplify (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) into (exp (* -1 (/ (log (/ n i)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (pow (/ (/ 1 (- i)) (/ 1 (- n))) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 (log (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- 1) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* (/ -1 n) (- (log n) (log i))) into (* -1 (/ (- (log n) (log i)) n)) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]taylor: Taking taylor expansion of (exp (* -1 (/ (- (log n) (log i)) n))) in n * [misc]taylor: Taking taylor expansion of (* -1 (/ (- (log n) (log i)) 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 n) (log i)) n) in n * [misc]taylor: Taking taylor expansion of (- (log n) (log i)) in n * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (log i) into (log i) * [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) (log n)) 0) into (log n) * [misc]backup-simplify: Simplify (- (log i)) into (- (log i)) * [misc]backup-simplify: Simplify (+ (log n) (- (log i))) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (/ (- (log n) (log i)) 1) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (* -1 (- (log n) (log i))) into (* -1 (- (log n) (log i))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) n))) * [misc]backup-simplify: Simplify (exp (* -1 (/ (- (log n) (log i)) n))) into (exp (* -1 (/ (- (log n) (log i)) 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 (- 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (* 0 (- (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (* 0 (- (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 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) (log i)) (log n)) into (- (log n) (log i)) * [misc]backup-simplify: Simplify (+ (* (/ -1 n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n) (log i)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1 (/ (- (log n) (log i)) 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 (* -1 (/ (- (log (/ 1 (- n))) (log (/ 1 (- i)))) (/ 1 (- n))))) into (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (/ i n) 100)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ i n) 100)) in n * [misc]taylor: Taking taylor expansion of (/ (/ i n) 100) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ i 100) into (* 1/100 i) * [misc]backup-simplify: Simplify (/ 1 (* 1/100 i)) into (/ 100 i) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ i n) 100)) in i * [misc]taylor: Taking taylor expansion of (/ (/ i n) 100) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ (/ 1 n) 100) into (/ 1/100 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1/100 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ i n) 100)) in i * [misc]taylor: Taking taylor expansion of (/ (/ i n) 100) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ (/ 1 n) 100) into (/ 1/100 n) * [misc]backup-simplify: Simplify (/ 1 (/ 1/100 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (* 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (+ (* 100 1) (* 0 0)) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 100) (+ (* (/ 1/100 n) (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 100 n) (/ 0 (/ 1/100 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 (+ (* 100 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 100) (+ (* (/ 1/100 n) (/ 0 100)) (* 0 (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 100 n) (/ 0 (/ 1/100 n))) (* 0 (/ 0 (/ 1/100 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 (+ (* 100 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 100) (+ (* (/ 1/100 n) (/ 0 100)) (* 0 (/ 0 100)) (* 0 (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 100 n) (/ 0 (/ 1/100 n))) (* 0 (/ 0 (/ 1/100 n))) (* 0 (/ 0 (/ 1/100 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 (* 100 (* n (/ 1 i))) into (* 100 (/ n i)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (/ (/ 1 i) (/ 1 n)) 100)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ (/ 1 i) (/ 1 n)) 100)) in n * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 i) (/ 1 n)) 100) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ (/ 1 i) 100) into (/ 1/100 i) * [misc]backup-simplify: Simplify (/ 1 (/ 1/100 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ (/ 1 i) (/ 1 n)) 100)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 i) (/ 1 n)) 100) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ n 100) into (* 1/100 n) * [misc]backup-simplify: Simplify (/ 1 (* 1/100 n)) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ (/ 1 i) (/ 1 n)) 100)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 i) (/ 1 n)) 100) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ n 100) into (* 1/100 n) * [misc]backup-simplify: Simplify (/ 1 (* 1/100 n)) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (/ 100 1) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 100 n) (/ 0 (* 1/100 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) (+ (* 100 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)) (* 0 (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 100 n) (/ 0 (* 1/100 n))) (* 0 (/ 0 (* 1/100 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) (+ (* 100 (/ 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 (- (+ (* (/ 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)) (* 0 (/ 0 100)) (* 0 (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 100 n) (/ 0 (* 1/100 n))) (* 0 (/ 0 (* 1/100 n))) (* 0 (/ 0 (* 1/100 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) (+ (* 100 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 100 (* (/ 1 (/ 1 n)) (/ 1 i))) into (* 100 (/ n i)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100)) in n * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ (/ 1 i) 100) into (/ 1/100 i) * [misc]backup-simplify: Simplify (/ 1 (/ 1/100 i)) into (* 100 i) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ n 100) into (* 1/100 n) * [misc]backup-simplify: Simplify (/ 1 (* 1/100 n)) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ n 100) into (* 1/100 n) * [misc]backup-simplify: Simplify (/ 1 (* 1/100 n)) into (/ 100 n) * [misc]taylor: Taking taylor expansion of (/ 100 n) in n * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [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 (/ 100 1) into 100 * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 100 n) (/ 0 (* 1/100 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) (+ (* 100 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)) (* 0 (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 100 n) (/ 0 (* 1/100 n))) (* 0 (/ 0 (* 1/100 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) (+ (* 100 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)) (* 0 (/ 0 100)) (* 0 (/ 0 100)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 100 n) (/ 0 (* 1/100 n))) (* 0 (/ 0 (* 1/100 n))) (* 0 (/ 0 (* 1/100 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) (+ (* 100 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 100 (* (/ 1 (/ 1 (- n))) (/ 1 (- i)))) into (* 100 (/ n i)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (/ i n) 100) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ i n) 100) in n * [misc]taylor: Taking taylor expansion of (/ i n) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [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 (/ i 1) into i * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ i 100) into (* 1/100 i) * [misc]taylor: Taking taylor expansion of (/ (/ i n) 100) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ (/ 1 n) 100) into (/ 1/100 n) * [misc]taylor: Taking taylor expansion of (/ (/ i n) 100) in i * [misc]taylor: Taking taylor expansion of (/ i n) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ (/ 1 n) 100) into (/ 1/100 n) * [misc]taylor: Taking taylor expansion of (/ 1/100 n) in n * [misc]taylor: Taking taylor expansion of 1/100 in n * [misc]backup-simplify: Simplify 1/100 into 1/100 * [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 (/ 1/100 1) into 1/100 * [misc]backup-simplify: Simplify 1/100 into 1/100 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 100) (+ (* (/ 1/100 n) (/ 0 100)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/100 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 100) (+ (* (/ 1/100 n) (/ 0 100)) (* 0 (/ 0 100)))) 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) (+ (* 1/100 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 100) (+ (* (/ 1/100 n) (/ 0 100)) (* 0 (/ 0 100)) (* 0 (/ 0 100)))) 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) (+ (* 1/100 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/100 (* (/ 1 n) i)) into (* 1/100 (/ i n)) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 i) (/ 1 n)) 100) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 i) (/ 1 n)) 100) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [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 i) 1) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ (/ 1 i) 100) into (/ 1/100 i) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 i) (/ 1 n)) 100) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ n 100) into (* 1/100 n) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 i) (/ 1 n)) 100) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 i) (/ 1 n)) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [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 i * [misc]taylor: Taking taylor expansion of n in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ n 100) into (* 1/100 n) * [misc]taylor: Taking taylor expansion of (* 1/100 n) in n * [misc]taylor: Taking taylor expansion of 1/100 in n * [misc]backup-simplify: Simplify 1/100 into 1/100 * [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 (+ (* 1/100 1) (* 0 0)) into 1/100 * [misc]backup-simplify: Simplify 1/100 into 1/100 * [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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)))) 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 (+ (* 1/100 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 (- (+ (* (/ 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)) (* 0 (/ 0 100)))) 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 (+ (* 1/100 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 (- (+ (* (/ 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)) (* 0 (/ 0 100)) (* 0 (/ 0 100)))) 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 (* 1/100 (* (/ 1 n) (/ 1 (/ 1 i)))) into (* 1/100 (/ i n)) * [misc]approximate: Taking taylor expansion of (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100) in n * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in n * [misc]taylor: Taking taylor expansion of (- i) in n * [misc]taylor: Taking taylor expansion of i in n * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [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 i) -1) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 100 in n * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ (/ 1 i) 100) into (/ 1/100 i) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ n 100) into (* 1/100 n) * [misc]taylor: Taking taylor expansion of (/ (/ (/ 1 (- i)) (/ 1 (- n))) 100) in i * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- n))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 i * [misc]taylor: Taking taylor expansion of (- n) in i * [misc]taylor: Taking taylor expansion of n in i * [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 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]backup-simplify: Simplify (/ n 100) into (* 1/100 n) * [misc]taylor: Taking taylor expansion of (* 1/100 n) in n * [misc]taylor: Taking taylor expansion of 1/100 in n * [misc]backup-simplify: Simplify 1/100 into 1/100 * [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 (+ (* 1/100 1) (* 0 0)) into 1/100 * [misc]backup-simplify: Simplify 1/100 into 1/100 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)))) 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 (+ (* 1/100 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) 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)) (* 0 (/ 0 100)))) 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 (+ (* 1/100 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) 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 (- (/ 0 100) (+ (* (* 1/100 n) (/ 0 100)) (* 0 (/ 0 100)) (* 0 (/ 0 100)))) 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 (* 1/100 (* (/ 1 (- n)) (/ 1 (/ 1 (- i))))) into (* 1/100 (/ i n)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt (/ i n)) n) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ 1 (pow (sqrt (/ i n)) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (* (+ 1 (pow (sqrt (/ i n)) n)) (- (pow (sqrt (/ i n)) n) 1)))) * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (pow (/ i n) n)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (pow (/ i n) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (* (+ 1 (sqrt (pow (/ i n) n))) (- (sqrt (pow (/ i n) n)) 1)))) * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (/ i n)) n) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (* (log (/ i n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (exp (* (log (/ i n)) n)) -1))) * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i n) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ i n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (pow (/ i n) (* 1 n)) -1))) * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (* (pow (* (cbrt (/ i n)) (cbrt (/ i n))) n) (pow (cbrt (/ i n)) n)) -1))) * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (/ i n)) n) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (pow (sqrt (/ i n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (* (pow (sqrt (/ i n)) n) (pow (sqrt (/ i n)) n)) -1))) * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 n) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (* 1 (pow (/ i n) n)) -1))) * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (pow i n) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to (pow i n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (* (pow i n) (pow (/ 1 n) n)) -1))) * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (pow (/ (/ i n) 100) -1) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ i n) 100)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ i n) 100)) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 1 (* (cbrt (/ (/ i n) 100)) (cbrt (/ (/ i n) 100)))) (cbrt (/ (/ i n) 100))) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ i n) 100)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ i n) 100)) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 1 (sqrt (/ (/ i n) 100))) (sqrt (/ (/ i n) 100))) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i n) 100) * * [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 (/ (/ i n) 100) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 1 1) (/ (/ i n) 100)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 100) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1/100 * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ (/ 1 (/ i n)) 1/100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ i n)) (cbrt (/ i n))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ i n)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (/ 1 (/ (* (cbrt (/ i n)) (cbrt (/ i n))) (/ 100 (cbrt (/ i n))))) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ i n)) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (* (/ 1 (/ (sqrt (/ i n)) (/ 100 (sqrt (/ i n))))) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) (+ (* 1/6 (* (pow n 3) (pow (log i) 3))) (+ (* n (log i)) (+ (* 1/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 1/6 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 1/2 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 1/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/6 (* (pow n 3) (pow (log n) 3))) (+ (* 1/6 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* n (log n)))))))) * * [misc]simplify: iters left: 6 (54 enodes) * * [misc]simplify: iters left: 5 (140 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (* (* 1/6 n) (* n n)) (pow (log i) 3)) (* (* (* n n) 1/2) (* (log n) (log n)))) (+ (* (* (* (log i) (pow n 3)) (* (log n) (log n))) 1/2) (+ (* (* (log i) (log i)) (* (* n n) 1/2)) (* n (log i))))) (+ (+ (* (* (* 1/3 n) (* n n)) (* (log n) (* (log i) (log i)))) (* (* (* (log i) (* n n)) (log n)) 1)) (+ (+ (* (pow (log n) 3) (* (* 1/6 n) (* n n))) (* n (log n))) (* (* (* 1/6 n) (* n n)) (* (log n) (* (log i) (log i))))))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (- (+ (+ (* (* (* 1/6 n) (* n n)) (pow (log i) 3)) (* (* (* n n) 1/2) (* (log n) (log n)))) (+ (* (* (* (log i) (pow n 3)) (* (log n) (log n))) 1/2) (+ (* (* (log i) (log i)) (* (* n n) 1/2)) (* n (log i))))) (+ (+ (* (* (* 1/3 n) (* n n)) (* (log n) (* (log i) (log i)))) (* (* (* (log i) (* n n)) (log n)) 1)) (+ (+ (* (pow (log n) 3) (* (* 1/6 n) (* n n))) (* n (log n))) (* (* (* 1/6 n) (* n n)) (* (log n) (* (log i) (log i))))))))) * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (+ -1 (pow (/ i n) n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ -1 (pow (/ i n) n)))) * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1))) * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (pow n 2) (pow (log i) 2))) (+ (* n (log i)) (+ (* 1/2 (* (pow n 2) (pow (log n) 2))) 1))) (+ (* 1/2 (* (pow n 2) (* (log i) (log n)))) (+ (* 1/2 (* (pow n 2) (* (log n) (log i)))) (* n (log n))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (+ (+ (+ (* (* (log n) (log n)) (* (* 1/2 n) n)) 1) (* (* (log i) (log i)) (* (* 1/2 n) n))) (- (* (log i) n) (+ (* (* (log i) n) (* (log n) n)) (* (log n) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (+ (+ (+ (* (* (log n) (log n)) (* (* 1/2 n) n)) 1) (* (* (log i) (log i)) (* (* 1/2 n) n))) (- (* (log i) n) (+ (* (* (log i) n) (* (log n) n)) (* (log n) n)))) -1))) * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (- (log (/ 1 n)) (log (/ 1 i))) n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (pow (/ i n) n) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* n (- (log (/ -1 n)) (log (/ -1 i))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * [exit]simplify: Simplified to (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* (/ 1 (/ (/ i n) 100)) (+ (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) -1))) * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (/ n i)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ n i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (* (/ n i) 100) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/100 (/ i n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ i n) 1/100) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ 1 (* (/ i n) 1/100)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/100 (/ i n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ i n) 1/100) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ 1 (* (/ i n) 1/100)) (+ (pow (/ i n) n) -1))) * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/100 (/ i n)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ i n) 1/100) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (* (/ 1 (* (/ i n) 1/100)) (+ (pow (/ i n) n) -1))) * * * [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 i) * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on i from (# # # # # # # # #) * * * [misc]regime: Found split indices: #