* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: 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 4 of 256 points to ramp up precision * * * * [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: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 73 additional inputs, on iter 1 have 183 / 256 * * * * [misc]points: Computing exacts on every 4 of 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts on every 2 of 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Computing exacts for 73 points * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 27 additional inputs, on iter 2 have 229 / 256 * * * * [misc]points: Computing exacts for 27 points * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 3 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Setting MPFR precision to 2624 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (fma (* n (/ 100 i)) (pow (+ 1 (/ i n)) n) (/ (- 100) (/ i n))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 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]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 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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]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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 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 (- (/ 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 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 (- (/ 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]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]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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 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 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 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 (- (/ 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 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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]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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 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 (- (/ 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 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 (- (/ 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]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]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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 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 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 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 (- (/ 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 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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]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]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 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 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 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 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 (- (/ 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]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]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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 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 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 (/ 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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]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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 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 (/ 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 (- (/ 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]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]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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 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 (/ 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 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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]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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 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 (- (/ 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 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 (- (/ 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]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]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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 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 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 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 (- (/ 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 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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]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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 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 (- (/ 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 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 (- (/ 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]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]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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 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 (- (/ 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 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 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 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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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]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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 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 (- (/ 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 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 (- (/ 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]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]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]backup-simplify: Simplify (/ (exp (/ (- (log n) (log i)) n)) 1) into (exp (/ (- (log n) (log i)) n)) * [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 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 (- (/ 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 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 (- (/ 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 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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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]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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 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 (- (/ 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 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 (- (/ 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]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]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]backup-simplify: Simplify (/ (exp (* -1 (/ (- (log n) (log i)) n))) 1) into (exp (* -1 (/ (- (log n) (log i)) n))) * [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 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 (- (/ 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 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 (- (/ 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 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 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 134 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (/ i n))) n) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* n (log1p (/ i n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))) * * * * [misc]progress: [ 4 / 134 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (/ i n))) n) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* n (log1p (/ i n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))) * * * * [misc]progress: [ 5 / 134 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (+ 1 (/ i n)) n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (log1p (/ i n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) * * * * [misc]progress: [ 6 / 134 ] 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) to (λ (i n) (* 100 (/ (fma (pow (* (cbrt (+ (/ i n) 1)) (cbrt (+ (/ i n) 1))) n) (pow (cbrt (+ 1 (/ i n))) n) (- 1)) (/ i n)))) * * * * [misc]progress: [ 7 / 134 ] 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) to (λ (i n) (* 100 (/ (fma (pow (sqrt (+ (/ i n) 1)) n) (pow (sqrt (+ 1 (/ i n))) n) (- 1)) (/ i n)))) * * * * [misc]progress: [ 8 / 134 ] 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 (/ (fma 1 (pow (+ 1 (/ i n)) n) (- 1)) (/ i n)))) * * * * [misc]progress: [ 9 / 134 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (+ 1 (/ i n)) n)) (cbrt (pow (+ 1 (/ i n)) n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (pow (+ (/ i n) 1) n)) (cbrt (pow (+ (/ i n) 1) n))) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (fma (* (cbrt (pow (+ (/ i n) 1) n)) (cbrt (pow (+ (/ i n) 1) n))) (cbrt (pow (+ 1 (/ i n)) n)) (- 1)) (/ i n)))) * * * * [misc]progress: [ 10 / 134 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (+ 1 (/ i n)) n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ (/ i n) 1) n)) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (fma (sqrt (pow (+ (/ i n) 1) n)) (sqrt (pow (+ 1 (/ i n)) n)) (- 1)) (/ i n)))) * * * * [misc]progress: [ 11 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 134 ] 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: [ 23 / 134 ] 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: [ 24 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 134 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (+ 1 (/ i n))) n) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* n (log1p (/ i n))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (i n) (* 100 (/ (- (exp (* n (log1p (/ i n)))) 1) (/ i n)))) * * * * [misc]progress: [ 28 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 134 ] 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: [ 30 / 134 ] 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: [ 31 / 134 ] 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: [ 32 / 134 ] 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: [ 33 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 134 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (52 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: [ 44 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 134 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (366 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: [ 47 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 134 ] 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: [ 52 / 134 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 53 / 134 ] 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 (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)) (sqrt (/ i n)))) * [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)) (sqrt (/ i n)))) (/ (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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 54 / 134 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 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 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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: [ 55 / 134 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 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 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 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: [ 56 / 134 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (19 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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 57 / 134 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 58 / 134 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (17 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 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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: [ 59 / 134 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (15 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 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 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: [ 60 / 134 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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: [ 61 / 134 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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: [ 62 / 134 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (77 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: [ 63 / 134 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (fma n (pow (+ (/ i n) 1) n) (- n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 i) (fma n (pow (+ (/ i n) 1) n) (- n))))) * * * * [misc]progress: [ 64 / 134 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 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: [ 65 / 134 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 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: [ 66 / 134 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (78 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: [ 67 / 134 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (fma (pow (sqrt (+ (/ i n) 1)) n) n (- n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i) (fma (pow (sqrt (+ (/ i n) 1)) n) n (- n))))) * * * * [misc]progress: [ 68 / 134 ] 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 (18 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) (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: [ 69 / 134 ] 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 (18 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) (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: [ 70 / 134 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (78 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: [ 71 / 134 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (fma (sqrt (pow (+ (/ i n) 1) n)) n (- n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i) (fma (sqrt (pow (+ (/ i n) 1) n)) n (- n))))) * * * * [misc]progress: [ 72 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 134 ] 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: [ 76 / 134 ] 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: [ 77 / 134 ] 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: [ 78 / 134 ] 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: [ 79 / 134 ] 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 (14 enodes) * * [misc]simplify: iters left: 4 (15 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: [ 80 / 134 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (+ 1 (/ i n)) n) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 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: [ 81 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 134 ] 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: [ 83 / 134 ] 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: [ 84 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 134 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (fma (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)) (- 1)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (fma (pow (+ (/ i n) 1) n) (* (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n)) (- 1)) (* (/ i n) (+ (* (pow (+ 1 (/ i n)) n) (pow (+ 1 (/ i n)) n)) (+ (* 1 1) (* (pow (+ 1 (/ i n)) n) 1))))))) * * * * [misc]progress: [ 86 / 134 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (fma (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n) (- 1)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (fma (pow (+ (/ i n) 1) n) (pow (+ (/ i n) 1) n) (- 1)) (* (/ i n) (+ (pow (+ 1 (/ i n)) n) 1))))) * * * * [misc]progress: [ 87 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 134 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (78 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: [ 97 / 134 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (78 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: [ 98 / 134 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 99 / 134 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 100 / 134 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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: [ 101 / 134 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 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: [ 102 / 134 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 103 / 134 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (16 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: [ 104 / 134 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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: [ 105 / 134 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 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: [ 106 / 134 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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: [ 107 / 134 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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: [ 108 / 134 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (77 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: [ 109 / 134 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (fma n (pow (+ (/ i n) 1) n) (- n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 i)) (fma n (pow (+ (/ i n) 1) n) (- n)))) * * * * [misc]progress: [ 110 / 134 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 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: [ 111 / 134 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 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: [ 112 / 134 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (78 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: [ 113 / 134 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (fma (pow (sqrt (+ (/ i n) 1)) n) n (- n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (pow (sqrt (+ 1 (/ i n))) n) 1) i)) (fma (pow (sqrt (+ (/ i n) 1)) n) n (- n)))) * * * * [misc]progress: [ 114 / 134 ] 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 (18 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) (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: [ 115 / 134 ] 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 (18 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) (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: [ 116 / 134 ] 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 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (78 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: [ 117 / 134 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (fma (sqrt (pow (+ (/ i n) 1) n)) n (- n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (+ (sqrt (pow (+ 1 (/ i n)) n)) 1) i)) (fma (sqrt (pow (+ (/ i n) 1) n)) n (- n)))) * * * * [misc]progress: [ 118 / 134 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (77 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: [ 119 / 134 ] 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: [ 120 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 134 ] 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: [ 122 / 134 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 134 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (fma (fma i 1/6 1/2) (* i i) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (fma (fma i 1/6 1/2) (* i i) i) (/ i n)))) * * * * [misc]progress: [ 124 / 134 ] 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 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (- (pow (/ i n) n) 1) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (- (pow (/ i n) n) 1) (/ i n)))) * * * * [misc]progress: [ 125 / 134 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (fma (pow (/ -1 n) n) (pow (/ -1 i) (- n)) (- 1)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (fma (pow (/ -1 n) n) (pow (/ -1 i) (- n)) (- 1)) (/ i n)))) * * * * [misc]progress: [ 126 / 134 ] simplifiying candidate # * [enter]simplify: Simplifying (+ i (+ (* 1/2 (pow i 2)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (fma (fma i 1/2 1) i 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (- (fma (fma i 1/2 1) i 1) 1) (/ i n)))) * * * * [misc]progress: [ 127 / 134 ] 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 (46 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (325 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: [ 128 / 134 ] 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 (87 enodes) * * [misc]simplify: iters left: 2 (223 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: [ 129 / 134 ] 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: [ 130 / 134 ] 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 (67 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (382 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: [ 131 / 134 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (fma (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) (/ n i) (- (/ n i))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (fma (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) (/ n i) (- (/ n i))))) * * * * [misc]progress: [ 132 / 134 ] 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: [ 133 / 134 ] 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 (83 enodes) * * [misc]simplify: iters left: 3 (201 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: [ 134 / 134 ] 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 (37 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (fma (/ 100 (/ i n)) (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) (/ (- 100) (/ i n))) * [misc]simplify: Simplified (2) to (λ (i n) (fma (/ 100 (/ i n)) (/ (pow (/ -1 n) n) (pow (/ -1 i) n)) (/ (- 100) (/ i n)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 2) * * * * [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 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (expm1 (* n (log1p (/ i n)))) in i * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (expm1 (* n (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (expm1 (* n (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (/ (- (log i) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (- (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (/ (- (log i) (log n)) 1) into (- (log i) (log n)) * [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 n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 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 i) (* 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 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) i) (+ (* (/ (- (log i) (log n)) i) (/ 0 i)))) into (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (log i) 2) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (log i) 2) i) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [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 (/ (pow (log i) 2) 1) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (log n) 2) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (log n) 2) i) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [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 (/ (pow (log n) 2) 1) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (log n) (log i)) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (log n) (log i)) i) in i * [misc]taylor: Taking taylor expansion of (* (log n) (log i)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) 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]taylor: Taking taylor expansion of (* 1/2 (/ (* (log i) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (log i) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (* (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (log n)) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (/ (* (log i) (log n)) 1) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow (log i) 2))) 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 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow (log n) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (log i) (log n)))) 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 (/ (* (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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 (- (log i) (log n)))))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow (/ 1 i) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) i) (+ (* (/ (- (log i) (log n)) i) (/ 0 i)) (* (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) (/ 0 i)))) into (- (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* (log i) (pow (log n) 2)) i) in i * [misc]taylor: Taking taylor expansion of (* (log i) (pow (log n) 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (pow (log n) 2)) into (* (log i) (pow (log n) 2)) * [misc]backup-simplify: Simplify (/ (* (log i) (pow (log n) 2)) 1) into (* (log i) (pow (log n) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (pow (log i) 3) i)) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (pow (log i) 3) i) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 3 (log (log i))) into (* 3 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log i)))) into (pow (log i) 3) * [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 (/ (pow (log i) 3) 1) into (pow (log i) 3) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) in i * [misc]taylor: Taking taylor expansion of 1/3 in i * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (log n) 2) (log i)) i) in i * [misc]taylor: Taking taylor expansion of (* (pow (log n) 2) (log i)) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (pow (log n) 2) (log i)) into (* (pow (log n) 2) (log i)) * [misc]backup-simplify: Simplify (/ (* (pow (log n) 2) (log i)) 1) into (* (pow (log n) 2) (log i)) * [misc]taylor: Taking taylor expansion of (/ (log i) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (log i) 1) into (log i) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* (log n) (pow (log i) 2)) i) in i * [misc]taylor: Taking taylor expansion of (* (log n) (pow (log i) 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [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 (* (log n) (pow (log i) 2)) into (* (log n) (pow (log i) 2)) * [misc]backup-simplify: Simplify (/ (* (log n) (pow (log i) 2)) 1) into (* (log n) (pow (log i) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 1/3 in i * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (log i) 2) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (* (pow (log i) 2) (log n)) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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 (* (pow (log i) 2) (log n)) into (* (pow (log i) 2) (log n)) * [misc]backup-simplify: Simplify (/ (* (pow (log i) 2) (log n)) 1) into (* (pow (log i) 2) (log n)) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (pow (log n) 3) i)) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (pow (log n) 3) i) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 3 (log (log n))) into (* 3 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log n)))) into (pow (log n) 3) * [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 (/ (pow (log n) 3) 1) into (pow (log n) 3) * [misc]taylor: Taking taylor expansion of (/ (log n) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (log n) 1) into (log n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (* 0 (pow (log n) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (pow (log n) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (* (log i) (pow (log n) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow (log i) 3))) 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 n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (pow (log n) 2) 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (log n) 2) (log i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* (pow (log n) 2) (log i)))) 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) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (pow (log i) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (pow (log i) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (* (log n) (pow (log i) 2)))) 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (log i) 2) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (log i) 2) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* (pow (log i) 2) (log n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow (log n) 3))) 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 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log i) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log i) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (log i) 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (* (pow (* 1 0) 2)) (pow (log n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (log n) 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (log n) 0) (+ (* 0 0) (* 0 (log i)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (log i) (log n))))) 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 (/ (+ (* 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log 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]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 1 i) (/ 1 n))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 (* (- (exp (/ 1 i)) 1) i) in i * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 i)) 1) 1) (* 0 0)) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 i)) 1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 0) into (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))))) into (- (* 1/2 (/ (exp (/ 1 i)) i))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (exp (/ 1 i)) i))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ 1 i)) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) i) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 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 (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))) 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 (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)))) into (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 0) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))) (* (- (* 1/2 (/ (exp (/ 1 i)) i))) (/ 0 (/ 1 i))))) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/3 in i * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/8 in i * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) 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 (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/4 (pow i 4))) (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (- (* 1/4 (/ 1 (pow i 4)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 3) 6)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1) (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)) (* (/ (pow (- (* 1/4 (/ 1 (pow i 4)))) 1) 1)))) into (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 0) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))) (* (- (* 1/2 (/ (exp (/ 1 i)) i))) (/ 0 (/ 1 i))) (* (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) (/ 0 (/ 1 i))))) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5))))) in i * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/4 in i * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 1/48 (/ (exp (/ 1 i)) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 1/48 in i * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 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 (exp (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))))) 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 (/ 1 i))) 1) (* (/ 1 i) (/ 1 (/ 1 n)))) into (/ (* (- (exp i) 1) n) i) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (* (- (exp (- (/ 1 i))) 1) i) in i * [misc]taylor: Taking taylor expansion of (- (exp (- (/ 1 i))) 1) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (- (/ 1 i))) 1) 1) (* 0 0)) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (- (exp (- (/ 1 i))) 1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (* 1/2 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1)))) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) 0) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))))) into (* 1/2 (/ (exp (- (/ 1 i))) i)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (/ 1 i))) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) i) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 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 (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))) 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 (+ (* (- (exp (- (/ 1 i))) 1) 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 (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (- (* 1/3 (/ 1 (pow i 3)))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 0) into (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3)))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))) (* (* 1/2 (/ (exp (- (/ 1 i))) i)) (/ 0 (/ 1 i))))) into (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/8 in i * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/3 in i * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 (+ (* (- (exp (- (/ 1 i))) 1) 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 (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/4 (pow i 4))) (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (* 1/4 (/ 1 (pow i 4))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 3) 6)) (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)) (* (/ (pow (* 1/4 (/ 1 (pow i 4))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 0) into (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5)))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))) (* (* 1/2 (/ (exp (- (/ 1 i))) i)) (/ 0 (/ 1 i))) (* (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2)))) (/ 0 (/ 1 i))))) into (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 4)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 4)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/4 in i * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 1/48 in i * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (- (/ 1 i))) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 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 (exp (- (/ 1 i))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (exp (- (/ 1 (/ 1 (- i))))) 1) (* (/ 1 (- i)) (/ 1 (/ 1 (- n))))) into (/ (* (- (exp i) 1) n) i) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* n (log1p (/ i n))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]taylor: Taking taylor expansion of (- (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 (- (log i) (log n)))))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log i) (log n)) (* 1 n)) into (* n (- (log i) (log n))) * [misc]approximate: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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]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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (* 1/2 (/ 1 (pow i 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (log1p (/ i n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]taylor: Taking taylor expansion of (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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]taylor: Taking taylor expansion of (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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]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 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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]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]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)) into (- (log n) (log i)) * [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]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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) 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) 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]taylor: Taking taylor expansion of (/ 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log (/ 1 n)) (log (/ 1 i))) into (- (log (/ 1 n)) (log (/ 1 i))) * [misc]approximate: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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]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]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)) into (- (log n) (log 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 (- 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]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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) 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) 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]taylor: Taking taylor expansion of (/ 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log (/ 1 (- n))) (log (/ 1 (- i)))) into (- (log (/ -1 n)) (log (/ -1 i))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* 100 (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (expm1 (* n (log1p (/ i n)))) (/ 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 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (expm1 (* n (log1p (/ i n)))) in i * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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 (/ (expm1 (* n (log1p (/ i n)))) (/ 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 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (expm1 (* n (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (/ (expm1 (* n (log1p (/ i n)))) (/ 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 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (expm1 (* n (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]backup-simplify: Simplify (* 100 (/ (- (log i) (log n)) i)) into (* 100 (/ (- (log i) (log n)) i)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (- (log i) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (- (log i) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (- (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (/ (- (log i) (log n)) 1) into (- (log i) (log n)) * [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 n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (- (log i) (log n)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 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 i) (* 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 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) i) (+ (* (/ (- (log i) (log n)) i) (/ 0 i)))) into (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i))))) (* 0 (/ (- (log i) (log n)) i))) into (- (+ (* 50 (/ (pow (log i) 2) i)) (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i)))) (+ (* 50 (/ (* (log n) (log i)) i)) (* 50 (/ (* (log i) (log n)) i)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50 (/ (pow (log i) 2) i)) (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i)))) (+ (* 50 (/ (* (log n) (log i)) i)) (* 50 (/ (* (log i) (log n)) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 50 (/ (pow (log i) 2) i)) (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i)))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ (pow (log i) 2) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (pow (log i) 2) i) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [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 (/ (pow (log i) 2) 1) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i))) in i * [misc]taylor: Taking taylor expansion of (* 100 (/ 1 (pow i 2))) 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 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 50 (/ (pow (log n) 2) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (pow (log n) 2) i) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [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 (/ (pow (log n) 2) 1) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (+ (* 50 (/ (* (log n) (log i)) i)) (* 50 (/ (* (log i) (log n)) i))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ (* (log n) (log i)) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (* (log n) (log i)) i) in i * [misc]taylor: Taking taylor expansion of (* (log n) (log i)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) 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]taylor: Taking taylor expansion of (* 50 (/ (* (log i) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (* (log i) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (* (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (log n)) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (/ (* (log i) (log n)) 1) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (* 0 (pow (log i) 2))) 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 (+ (* 100 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (* 0 (pow (log n) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (* 0 (* (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (* 0 (* (log i) (log n)))) 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 (/ (* (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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (- (log i) (log n))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 (- (log i) (log n)))))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow (/ 1 i) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) i) (+ (* (/ (- (log i) (log n)) i) (/ 0 i)) (* (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) (/ 0 i)))) into (- (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2)))))))) (+ (* 0 (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i))))) (* 0 (/ (- (log i) (log n)) i)))) into (- (+ (* 50/3 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 50/3 (/ (pow (log i) 3) i)) (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2)))))) (+ (* 50/3 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 50 (/ 1 (pow i 3))) (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 50/3 (/ (pow (log i) 3) i)) (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2)))))) (+ (* 50/3 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 50 (/ 1 (pow i 3))) (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2)))))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 50/3 (/ (pow (log i) 3) i)) (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2)))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (* (log i) (pow (log n) 2)) i)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (* (log i) (pow (log n) 2)) i) in i * [misc]taylor: Taking taylor expansion of (* (log i) (pow (log n) 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (pow (log n) 2)) into (* (log i) (pow (log n) 2)) * [misc]backup-simplify: Simplify (/ (* (log i) (pow (log n) 2)) 1) into (* (log i) (pow (log n) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (pow (log i) 3) i)) (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (pow (log i) 3) i)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (pow (log i) 3) i) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 3 (log (log i))) into (* 3 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log i)))) into (pow (log i) 3) * [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 (/ (pow (log i) 3) 1) into (pow (log i) 3) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (log n) 2) (log i)) i) in i * [misc]taylor: Taking taylor expansion of (* (pow (log n) 2) (log i)) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (pow (log n) 2) (log i)) into (* (pow (log n) 2) (log i)) * [misc]backup-simplify: Simplify (/ (* (pow (log n) 2) (log i)) 1) into (* (pow (log n) 2) (log i)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (log i) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (log i) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (log i) 1) into (log i) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 50 (/ 1 (pow i 3))) (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2))))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (* (log n) (pow (log i) 2)) i)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (* (log n) (pow (log i) 2)) i) in i * [misc]taylor: Taking taylor expansion of (* (log n) (pow (log i) 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [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 (* (log n) (pow (log i) 2)) into (* (log n) (pow (log i) 2)) * [misc]backup-simplify: Simplify (/ (* (log n) (pow (log i) 2)) 1) into (* (log n) (pow (log i) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 50 (/ 1 (pow i 3))) (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2)))))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ 1 (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (log i) 2) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (* (pow (log i) 2) (log n)) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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 (* (pow (log i) 2) (log n)) into (* (pow (log i) 2) (log n)) * [misc]backup-simplify: Simplify (/ (* (pow (log i) 2) (log n)) 1) into (* (pow (log i) 2) (log n)) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (pow (log n) 3) i)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (pow (log n) 3) i) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 3 (log (log n))) into (* 3 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log n)))) into (pow (log n) 3) * [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 (/ (pow (log n) 3) 1) into (pow (log n) 3) * [misc]taylor: Taking taylor expansion of (* 100 (/ (log n) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (log n) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (log n) 1) into (log n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (* 0 (pow (log n) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (pow (log n) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (* 0 (* (log i) (pow (log n) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (* 0 (pow (log i) 3))) 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 n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (pow (log n) 2) 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (log n) 2) (log i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (* 0 (* (pow (log n) 2) (log i)))) 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) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (log i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (pow (log i) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (pow (log i) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (* 0 (* (log n) (pow (log i) 2)))) 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 (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (log i) 2) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (log i) 2) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (* 0 (* (pow (log i) 2) (log n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (* 0 (pow (log n) 3))) 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 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log i) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log i) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (pow (log i) 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ (* (pow (* 1 0) 2)) (pow (log n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (pow (log n) 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (log n) 0) (+ (* 0 0) (* 0 (log i)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (* (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (* (log i) (log n))))) 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 (/ (+ (* 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log i) (log n)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* 100 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 1 i) (/ 1 n)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 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 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 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 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 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 (/ (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]backup-simplify: Simplify (* 100 (* (- (exp (/ 1 i)) 1) i)) into (* 100 (* (- (exp (/ 1 i)) 1) i)) * [misc]taylor: Taking taylor expansion of (* 100 (* (- (exp (/ 1 i)) 1) i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (* (- (exp (/ 1 i)) 1) i) in i * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 i)) 1) 1) (* 0 0)) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (* (- (exp (/ 1 i)) 1) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 (- (exp (/ 1 i)) 1)) (* 0 0)) into (- (* 100 (exp (/ 1 i))) 100) * [misc]backup-simplify: Simplify (- (* 100 (exp (/ 1 i))) 100) into (- (* 100 (exp (/ 1 i))) 100) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 0) into (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))))) into (- (* 1/2 (/ (exp (/ 1 i)) i))) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ 1 i)) i)))) (* 0 (* (- (exp (/ 1 i)) 1) i))) into (- (* 50 (/ (exp (/ 1 i)) i))) * [misc]taylor: Taking taylor expansion of (- (* 50 (/ (exp (/ 1 i)) i))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ 1 i)) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) i) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 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 (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))) 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 (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 (- (exp (/ 1 i)) 1)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)))) into (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 0) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))) (* (- (* 1/2 (/ (exp (/ 1 i)) i))) (/ 0 (/ 1 i))))) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) * [misc]backup-simplify: Simplify (+ (* 100 (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3))))) (+ (* 0 (- (* 1/2 (/ (exp (/ 1 i)) i)))) (* 0 (* (- (exp (/ 1 i)) 1) i)))) into (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 2))) (* 25/2 (/ (exp (/ 1 i)) (pow i 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 2))) (* 25/2 (/ (exp (/ 1 i)) (pow i 3)))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (/ 1 i)) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 25/2 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 25/2 in i * [misc]backup-simplify: Simplify 25/2 into 25/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) 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 (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (- (exp (/ 1 i)) 1)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/4 (pow i 4))) (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (- (* 1/4 (/ 1 (pow i 4)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 3) 6)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1) (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)) (* (/ (pow (- (* 1/4 (/ 1 (pow i 4)))) 1) 1)))) into (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 0) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))) (* (- (* 1/2 (/ (exp (/ 1 i)) i))) (/ 0 (/ 1 i))) (* (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) (/ 0 (/ 1 i))))) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5))))))) (+ (* 0 (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3))))) (+ (* 0 (- (* 1/2 (/ (exp (/ 1 i)) i)))) (* 0 (* (- (exp (/ 1 i)) 1) i))))) into (- (+ (* 25 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) (* 25/12 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 25 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) (* 25/12 (/ (exp (/ 1 i)) (pow i 5)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 25 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) (* 25/12 (/ (exp (/ 1 i)) (pow i 5))))) in i * [misc]taylor: Taking taylor expansion of (* 25 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 25 in i * [misc]backup-simplify: Simplify 25 into 25 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) (* 25/12 (/ (exp (/ 1 i)) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 25/12 (/ (exp (/ 1 i)) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 25/12 in i * [misc]backup-simplify: Simplify 25/12 into 25/12 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 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 (exp (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))))) 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 (/ 1 i)))) 100) (* (/ 1 i) (/ 1 (/ 1 n)))) into (/ (* (- (* 100 (exp i)) 100) n) i) * [misc]approximate: Taking taylor expansion of (* 100 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 1 (- i)) (/ 1 (- n))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 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 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 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 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 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 (/ (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]backup-simplify: Simplify (* 100 (* (- (exp (- (/ 1 i))) 1) i)) into (* 100 (* (- (exp (- (/ 1 i))) 1) i)) * [misc]taylor: Taking taylor expansion of (* 100 (* (- (exp (- (/ 1 i))) 1) i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (* (- (exp (- (/ 1 i))) 1) i) in i * [misc]taylor: Taking taylor expansion of (- (exp (- (/ 1 i))) 1) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (- (/ 1 i))) 1) 1) (* 0 0)) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (* (- (exp (- (/ 1 i))) 1) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 (- (exp (- (/ 1 i))) 1)) (* 0 0)) into (- (* 100 (exp (- (/ 1 i)))) 100) * [misc]backup-simplify: Simplify (- (* 100 (exp (- (/ 1 i)))) 100) into (- (* 100 (exp (- (/ 1 i)))) 100) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (* 1/2 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1)))) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) 0) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))))) into (* 1/2 (/ (exp (- (/ 1 i))) i)) * [misc]backup-simplify: Simplify (+ (* 100 (* 1/2 (/ (exp (- (/ 1 i))) i))) (* 0 (* (- (exp (- (/ 1 i))) 1) i))) into (* 50 (/ (exp (- (/ 1 i))) i)) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (- (/ 1 i))) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) i) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 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 (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))) 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 (+ (* (- (exp (- (/ 1 i))) 1) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 (- (exp (- (/ 1 i))) 1)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (- (* 1/3 (/ 1 (pow i 3)))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 0) into (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3)))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))) (* (* 1/2 (/ (exp (- (/ 1 i))) i)) (/ 0 (/ 1 i))))) into (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2))))) (+ (* 0 (* 1/2 (/ (exp (- (/ 1 i))) i))) (* 0 (* (- (exp (- (/ 1 i))) 1) i)))) into (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 3))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 3))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 25/2 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 25/2 in i * [misc]backup-simplify: Simplify 25/2 into 25/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (- (/ 1 i))) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 (+ (* (- (exp (- (/ 1 i))) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (- (exp (- (/ 1 i))) 1)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/4 (pow i 4))) (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (* 1/4 (/ 1 (pow i 4))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 3) 6)) (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)) (* (/ (pow (* 1/4 (/ 1 (pow i 4))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 0) into (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5)))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))) (* (* 1/2 (/ (exp (- (/ 1 i))) i)) (/ 0 (/ 1 i))) (* (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2)))) (/ 0 (/ 1 i))))) into (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 4)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 4))))) (+ (* 0 (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2))))) (+ (* 0 (* 1/2 (/ (exp (- (/ 1 i))) i))) (* 0 (* (- (exp (- (/ 1 i))) 1) i))))) into (- (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 3))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 50/3 (/ (exp (- (/ 1 i))) (pow i 4)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 3))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 50/3 (/ (exp (- (/ 1 i))) (pow i 4)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 3))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 25 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 25 in i * [misc]backup-simplify: Simplify 25 into 25 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 25/12 (/ (exp (- (/ 1 i))) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 25/12 in i * [misc]backup-simplify: Simplify 25/12 into 25/12 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (- (/ 1 i))) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 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 (exp (- (/ 1 i))))))))) 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 (- (/ 1 (/ 1 (- i)))))) 100) (* (/ 1 (- i)) (/ 1 (/ 1 (- n))))) into (/ (* (- (* 100 (exp i)) 100) n) i) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 (* n (log1p (/ i n))))) (log (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (log (expm1 (* (log1p (/ i n)) n))) (log (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (exp (- (log (expm1 (* (log1p (/ i n)) n))) (log (/ i n)))))) * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (expm1 (* n (log1p (/ i n)))) (expm1 (* n (log1p (/ i n))))) (expm1 (* n (log1p (/ i n))))) (* (* (/ i n) (/ i n)) (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (cbrt (pow (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 3)))) * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* n (log1p (/ i 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 (exp n) (log1p (/ i n))) (/ i n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (- (/ (pow (exp n) (log1p (/ i n))) (/ i n)) (/ 1 (/ i n))))) * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))))) * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (sqrt (/ i n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))))) * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ i n))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n))))) * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) i) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i (cbrt (expm1 (* (log1p (/ i n)) n))))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i (cbrt (expm1 (* (log1p (/ i n)) n))))) (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* (log1p (/ i n)) n))) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) i) (* (cbrt (expm1 (* (log1p (/ i n)) n))) n)))) * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))))) * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))))) * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* (log1p (/ i n)) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ i n))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n))))) * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) i) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i) (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* (log1p (/ i n)) n))) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* n (log1p (/ i n))))) i) (* (sqrt (expm1 (* (log1p (/ i n)) n))) n)))) * * * * [misc]progress: [ 21 / 99 ] 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))) (/ (expm1 (* n (log1p (/ i n)))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n)))))) * * * * [misc]progress: [ 22 / 99 ] 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))) (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (sqrt (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n)))))) * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* 1 (/ (expm1 (* n (log1p (/ i n)))) (/ i n))))) * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* 1 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))) * * * * [misc]progress: [ 24 / 99 ] 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) (/ (expm1 (* n (log1p (/ i n)))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (/ 1 n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (expm1 (* (log1p (/ i n)) n)) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 i) (* (expm1 (* (log1p (/ i n)) n)) n)))) * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 99 ] 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 (/ (/ (expm1 (* n (log1p (/ i n)))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))) * * * * [misc]progress: [ 29 / 99 ] 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 (/ (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n))) (sqrt (/ i n))))) * * * * [misc]progress: [ 30 / 99 ] 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 (/ (/ (expm1 (* n (log1p (/ i n)))) 1) (/ i n)))) * * * * [misc]progress: [ 31 / 99 ] 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 (/ (/ (expm1 (* n (log1p (/ i n)))) i) (/ 1 n)))) * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (/ i n) (cbrt (expm1 (* n (log1p (/ i n))))))))) * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* n (log1p (/ i n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* (log1p (/ i n)) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (/ i n) (sqrt (expm1 (* n (log1p (/ i n))))))))) * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p (/ i n))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (log1p (/ i n))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* (* n (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n))))) (cbrt (log1p (/ i n))))) (/ i n)))) * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (/ i n))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (log1p (/ i n))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* (* n (sqrt (log1p (/ i n)))) (sqrt (log1p (/ i n))))) (/ i n)))) * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ i n)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* (* n 1) (log1p (/ i n)))) (/ i n)))) * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 99 ] 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 2 1) to (λ (i n) (* 100 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))) * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (* (cbrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) (cbrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))))) (cbrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))) * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (sqrt (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))) (sqrt (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))) * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))))) * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) (sqrt (/ i n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))))) * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) 1)) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n)))) * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (log1p (/ i n))))) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* (log1p (/ i n)) n))) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n)))))) i)) (* (cbrt (expm1 (* (log1p (/ i n)) n))) n))) * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (expm1 (* n (log1p (/ i n))))) (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))))) * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))))) * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ i n)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (expm1 (* n (log1p (/ i n))))) 1)) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n)))) * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (log1p (/ i n))))) (/ 1 n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 (* (log1p (/ i n)) n))) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ (sqrt (expm1 (* n (log1p (/ i n))))) i)) (* (sqrt (expm1 (* (log1p (/ i n)) n))) n))) * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n))))) (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))))) * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 (sqrt (/ i n)))) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n))))) * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 1)) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (/ 1 n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (expm1 (* (log1p (/ i n)) n)) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 (/ 1 i)) (* (expm1 (* (log1p (/ i n)) n)) n))) * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (* 100 1) (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) * * * * [misc]progress: [ 84 / 99 ] 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 (expm1 (* n (log1p (/ i n))))) (/ n i))) * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 99 ] 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 (expm1 (* n (log1p (/ i n))))) (/ i n))) * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 99 ] 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: [ 89 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (exp i) 1) n) i) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (expm1 i) (/ n i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (* (expm1 i) (/ n i)))) * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (exp i) 1) n) i) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (expm1 i) (/ n i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (* (expm1 i) (/ n i)))) * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* n (- (log i) (log n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (- (log i) (log n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 (* (- (log i) (log n)) n)) (/ i n)))) * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 0) (/ i n)))) * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 0) (/ i n)))) * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* n 0)) (/ i n)))) * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 n)) (log (/ 1 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (- (log i) (log n)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* n (- (log i) (log n)))) (/ i n)))) * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ -1 n)) (log (/ -1 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (log (/ -1 n)) (log (/ -1 i))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* n (- (log (/ -1 n)) (log (/ -1 i))))) (/ i n)))) * * * * [misc]progress: [ 97 / 99 ] 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: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (* 100 (exp i)) 100) n) i) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (fma (exp i) 100 (- 100)) (/ i n)) * [misc]simplify: Simplified (2) to (λ (i n) (/ (fma (exp i) 100 (- 100)) (/ i n))) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (* 100 (exp i)) 100) n) i) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (fma (exp i) 100 (- 100)) (/ i n)) * [misc]simplify: Simplified (2) to (λ (i n) (/ (fma (exp i) 100 (- 100)) (/ i n))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* n (log1p (/ 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 (expm1 (* n (log1p (/ i n)))) in i * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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 (* 100 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]backup-simplify: Simplify (+ (* 100 1) (* 0 0)) into 100 * [misc]backup-simplify: Simplify (/ 100 (/ 1 n)) into (* 100 n) * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* n (log1p (/ 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 (expm1 (* n (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (* 100 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 (+ (* 100 (- (log i) (log n))) (* 0 0)) into (- (* 100 (log i)) (* 100 (log n))) * [misc]backup-simplify: Simplify (/ (- (* 100 (log i)) (* 100 (log n))) i) into (/ (- (* 100 (log i)) (* 100 (log n))) i) * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* n (log1p (/ 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 (expm1 (* n (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (* 100 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 (+ (* 100 (- (log i) (log n))) (* 0 0)) into (- (* 100 (log i)) (* 100 (log n))) * [misc]backup-simplify: Simplify (/ (- (* 100 (log i)) (* 100 (log n))) i) into (/ (- (* 100 (log i)) (* 100 (log n))) i) * [misc]taylor: Taking taylor expansion of (/ (- (* 100 (log i)) (* 100 (log n))) i) in i * [misc]taylor: Taking taylor expansion of (- (* 100 (log i)) (* 100 (log n))) in i * [misc]taylor: Taking taylor expansion of (* 100 (log i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 100 (log 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 (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* 100 (log i)) into (* 100 (log i)) * [misc]backup-simplify: Simplify (* 100 (log n)) into (* 100 (log n)) * [misc]backup-simplify: Simplify (- (* 100 (log n))) into (- (* 100 (log n))) * [misc]backup-simplify: Simplify (+ (* 100 (log i)) (- (* 100 (log n)))) into (- (* 100 (log i)) (* 100 (log n))) * [misc]backup-simplify: Simplify (/ (- (* 100 (log i)) (* 100 (log n))) 1) into (- (* 100 (log i)) (* 100 (log n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (* 100 (log i)) (* 100 (log n))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 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 i) (* 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 i))) (+ (* 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 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 0 (- (log i) (log n))) (* 0 0))) into (- (+ (* 50 (pow (log n) 2)) (+ (* 50 (pow (log i) 2)) (* 100 (/ 1 i)))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 50 (pow (log n) 2)) (+ (* 50 (pow (log i) 2)) (* 100 (/ 1 i)))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) i) (+ (* (/ (- (* 100 (log i)) (* 100 (log n))) i) (/ 0 i)))) into (- (+ (* 50 (/ (pow (log i) 2) i)) (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i)))) (+ (* 50 (/ (* (log n) (log i)) i)) (* 50 (/ (* (log i) (log n)) i)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50 (/ (pow (log i) 2) i)) (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i)))) (+ (* 50 (/ (* (log n) (log i)) i)) (* 50 (/ (* (log i) (log n)) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 50 (/ (pow (log i) 2) i)) (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i)))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ (pow (log i) 2) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (pow (log i) 2) i) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [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 (/ (pow (log i) 2) 1) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i))) in i * [misc]taylor: Taking taylor expansion of (* 100 (/ 1 (pow i 2))) 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 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 50 (/ (pow (log n) 2) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (pow (log n) 2) i) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [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 (/ (pow (log n) 2) 1) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (+ (* 50 (/ (* (log n) (log i)) i)) (* 50 (/ (* (log i) (log n)) i))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ (* (log n) (log i)) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (* (log n) (log i)) i) in i * [misc]taylor: Taking taylor expansion of (* (log n) (log i)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) 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]taylor: Taking taylor expansion of (* 50 (/ (* (log i) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (* (log i) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (* (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (log n)) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (/ (* (log i) (log n)) 1) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (* 0 (pow (log i) 2))) 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 (+ (* 100 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (* 0 (pow (log n) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (* 0 (* (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (* 0 (* (log i) (log n)))) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (log i)))) 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 (+ (* 100 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (* 100 (log i)) (* 100 (log n))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 (- (log i) (log n)))))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow (/ 1 i) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2))))))))) (+ (* 0 (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 0 (- (log i) (log n))) (* 0 0)))) into (- (+ (* 50/3 (pow (log i) 3)) (+ (* 100 (/ (log i) i)) (+ (* 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))) (+ (* 100 (/ (log n) i)) (* 50 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 50/3 (pow (log i) 3)) (+ (* 100 (/ (log i) i)) (+ (* 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))) (+ (* 100 (/ (log n) i)) (* 50 (/ 1 (pow i 2)))))))) i) (+ (* (/ (- (* 100 (log i)) (* 100 (log n))) i) (/ 0 i)) (* (- (+ (* 50 (/ (pow (log i) 2) i)) (+ (* 100 (/ 1 (pow i 2))) (* 50 (/ (pow (log n) 2) i)))) (+ (* 50 (/ (* (log n) (log i)) i)) (* 50 (/ (* (log i) (log n)) i)))) (/ 0 i)))) into (- (+ (* 50/3 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 50/3 (/ (pow (log i) 3) i)) (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2)))))) (+ (* 50/3 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 50 (/ 1 (pow i 3))) (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 50/3 (/ (pow (log i) 3) i)) (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2)))))) (+ (* 50/3 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 50 (/ 1 (pow i 3))) (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2)))))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 50/3 (/ (pow (log i) 3) i)) (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2)))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (* (log i) (pow (log n) 2)) i)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (* (log i) (pow (log n) 2)) i) in i * [misc]taylor: Taking taylor expansion of (* (log i) (pow (log n) 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (pow (log n) 2)) into (* (log i) (pow (log n) 2)) * [misc]backup-simplify: Simplify (/ (* (log i) (pow (log n) 2)) 1) into (* (log i) (pow (log n) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (pow (log i) 3) i)) (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (pow (log i) 3) i)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (pow (log i) 3) i) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 3 (log (log i))) into (* 3 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log i)))) into (pow (log i) 3) * [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 (/ (pow (log i) 3) 1) into (pow (log i) 3) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) (* 100 (/ (log i) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (* (pow (log n) 2) (log i)) i)) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (log n) 2) (log i)) i) in i * [misc]taylor: Taking taylor expansion of (* (pow (log n) 2) (log i)) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (pow (log n) 2) (log i)) into (* (pow (log n) 2) (log i)) * [misc]backup-simplify: Simplify (/ (* (pow (log n) 2) (log i)) 1) into (* (pow (log n) 2) (log i)) * [misc]taylor: Taking taylor expansion of (* 100 (/ (log i) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (log i) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (log i) 1) into (log i) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 50 (/ 1 (pow i 3))) (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2))))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (* (log n) (pow (log i) 2)) i)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (* (log n) (pow (log i) 2)) i) in i * [misc]taylor: Taking taylor expansion of (* (log n) (pow (log i) 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [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 (* (log n) (pow (log i) 2)) into (* (log n) (pow (log i) 2)) * [misc]backup-simplify: Simplify (/ (* (log n) (pow (log i) 2)) 1) into (* (log n) (pow (log i) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 50 (/ 1 (pow i 3))) (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2)))))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ 1 (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (* (pow (log i) 2) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (log i) 2) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (* (pow (log i) 2) (log n)) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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 (* (pow (log i) 2) (log n)) into (* (pow (log i) 2) (log n)) * [misc]backup-simplify: Simplify (/ (* (pow (log i) 2) (log n)) 1) into (* (pow (log i) 2) (log n)) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (pow (log n) 3) i)) (* 100 (/ (log n) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (pow (log n) 3) i)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (pow (log n) 3) i) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 3 (log (log n))) into (* 3 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log n)))) into (pow (log n) 3) * [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 (/ (pow (log n) 3) 1) into (pow (log n) 3) * [misc]taylor: Taking taylor expansion of (* 100 (/ (log n) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (log n) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (log n) 1) into (log n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (* 0 (pow (log n) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (pow (log n) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (* 0 (* (log i) (pow (log n) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (* 0 (pow (log i) 3))) 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 n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (pow (log n) 2) 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (log n) 2) (log i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (* 0 (* (pow (log n) 2) (log i)))) 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) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (log i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (pow (log i) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (pow (log i) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (* 0 (* (log n) (pow (log i) 2)))) 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 (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (log i) 2) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (log i) 2) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (* 0 (* (pow (log i) 2) (log n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50/3 0) (* 0 (pow (log n) 3))) 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 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log i) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log i) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (pow (log i) 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ (* (pow (* 1 0) 2)) (pow (log n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (pow (log n) 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (log n) 0) (+ (* 0 0) (* 0 (log i)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (* (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (* (log i) (log n))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log i))))) 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 (+ (* 100 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (* 100 (log i)) (* 100 (log 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]approximate: Taking taylor expansion of (/ (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n)))))) (/ (/ 1 i) (/ 1 n))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n)))))) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 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 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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 (* 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)) n) into (* 100 (/ (- (exp (/ (- (log n) (log i)) n)) 1) n)) * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n)))))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 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 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 (* 100 (- (exp (/ 1 i)) 1)) into (* 100 (- (exp (/ 1 i)) 1)) * [misc]backup-simplify: Simplify (/ (* 100 (- (exp (/ 1 i)) 1)) (/ 1 i)) into (* 100 (* (- (exp (/ 1 i)) 1) i)) * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n)))))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 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 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 (* 100 (- (exp (/ 1 i)) 1)) into (* 100 (- (exp (/ 1 i)) 1)) * [misc]backup-simplify: Simplify (/ (* 100 (- (exp (/ 1 i)) 1)) (/ 1 i)) into (* 100 (* (- (exp (/ 1 i)) 1) i)) * [misc]taylor: Taking taylor expansion of (* 100 (* (- (exp (/ 1 i)) 1) i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (* (- (exp (/ 1 i)) 1) i) in i * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 i)) 1) 1) (* 0 0)) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (* (- (exp (/ 1 i)) 1) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 (- (exp (/ 1 i)) 1)) (* 0 0)) into (- (* 100 (exp (/ 1 i))) 100) * [misc]backup-simplify: Simplify (- (* 100 (exp (/ 1 i))) 100) into (- (* 100 (exp (/ 1 i))) 100) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 0) into (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1))) into (- (* 50 (/ (exp (/ 1 i)) (pow i 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 50 (/ (exp (/ 1 i)) (pow i 2)))) (/ 1 i)) (+ (* (* 100 (* (- (exp (/ 1 i)) 1) i)) (/ 0 (/ 1 i))))) into (- (* 50 (/ (exp (/ 1 i)) i))) * [misc]taylor: Taking taylor expansion of (- (* 50 (/ (exp (/ 1 i)) i))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ 1 i)) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) i) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 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 (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))) 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 (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 (- (exp (/ 1 i)) 1)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)))) into (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 0) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) * [misc]backup-simplify: Simplify (+ (* 100 (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4))))) (+ (* 0 (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1)))) into (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 3))) (* 25/2 (/ (exp (/ 1 i)) (pow i 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 3))) (* 25/2 (/ (exp (/ 1 i)) (pow i 4)))) (/ 1 i)) (+ (* (* 100 (* (- (exp (/ 1 i)) 1) i)) (/ 0 (/ 1 i))) (* (- (* 50 (/ (exp (/ 1 i)) i))) (/ 0 (/ 1 i))))) into (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 2))) (* 25/2 (/ (exp (/ 1 i)) (pow i 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 2))) (* 25/2 (/ (exp (/ 1 i)) (pow i 3)))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (/ 1 i)) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 25/2 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 25/2 in i * [misc]backup-simplify: Simplify 25/2 into 25/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) 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 (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (- (exp (/ 1 i)) 1)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/4 (pow i 4))) (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (- (* 1/4 (/ 1 (pow i 4)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 3) 6)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1) (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)) (* (/ (pow (- (* 1/4 (/ 1 (pow i 4)))) 1) 1)))) into (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 0) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5))))))) (+ (* 0 (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4))))) (+ (* 0 (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1))))) into (- (+ (* 25 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 25/12 (/ (exp (/ 1 i)) (pow i 6))) (* 50/3 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 25 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 25/12 (/ (exp (/ 1 i)) (pow i 6))) (* 50/3 (/ (exp (/ 1 i)) (pow i 5)))))) (/ 1 i)) (+ (* (* 100 (* (- (exp (/ 1 i)) 1) i)) (/ 0 (/ 1 i))) (* (- (* 50 (/ (exp (/ 1 i)) i))) (/ 0 (/ 1 i))) (* (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 2))) (* 25/2 (/ (exp (/ 1 i)) (pow i 3)))) (/ 0 (/ 1 i))))) into (- (+ (* 25 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) (* 25/12 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 25 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) (* 25/12 (/ (exp (/ 1 i)) (pow i 5)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 25 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) (* 25/12 (/ (exp (/ 1 i)) (pow i 5))))) in i * [misc]taylor: Taking taylor expansion of (* 25 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 25 in i * [misc]backup-simplify: Simplify 25 into 25 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) (* 25/12 (/ (exp (/ 1 i)) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (/ 1 i)) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 25/12 (/ (exp (/ 1 i)) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 25/12 in i * [misc]backup-simplify: Simplify 25/12 into 25/12 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 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 (exp (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))))) 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 (/ 1 i)))) 100) (* (/ 1 i) (/ 1 (/ 1 n)))) into (/ (* (- (* 100 (exp i)) 100) n) i) * [misc]approximate: Taking taylor expansion of (/ (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n))))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n))))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 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 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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 (* 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)) n) into (* 100 (/ (- (exp (* -1 (/ (- (log n) (log i)) n))) 1) n)) * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n))))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 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 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (* 100 (- (exp (- (/ 1 i))) 1)) into (* 100 (- (exp (- (/ 1 i))) 1)) * [misc]backup-simplify: Simplify (/ (* 100 (- (exp (- (/ 1 i))) 1)) (/ 1 i)) into (* 100 (* (- (exp (- (/ 1 i))) 1) i)) * [misc]taylor: Taking taylor expansion of (/ (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n))))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 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 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (* 100 (- (exp (- (/ 1 i))) 1)) into (* 100 (- (exp (- (/ 1 i))) 1)) * [misc]backup-simplify: Simplify (/ (* 100 (- (exp (- (/ 1 i))) 1)) (/ 1 i)) into (* 100 (* (- (exp (- (/ 1 i))) 1) i)) * [misc]taylor: Taking taylor expansion of (* 100 (* (- (exp (- (/ 1 i))) 1) i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (* (- (exp (- (/ 1 i))) 1) i) in i * [misc]taylor: Taking taylor expansion of (- (exp (- (/ 1 i))) 1) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (- (/ 1 i))) 1) 1) (* 0 0)) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (* (- (exp (- (/ 1 i))) 1) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100 (- (exp (- (/ 1 i))) 1)) (* 0 0)) into (- (* 100 (exp (- (/ 1 i)))) 100) * [misc]backup-simplify: Simplify (- (* 100 (exp (- (/ 1 i)))) 100) into (- (* 100 (exp (- (/ 1 i)))) 100) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (* 1/2 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1)))) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) 0) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (+ (* 100 (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2)))) (* 0 (- (exp (- (/ 1 i))) 1))) into (* 50 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 50 (/ (exp (- (/ 1 i))) (pow i 2))) (/ 1 i)) (+ (* (* 100 (* (- (exp (- (/ 1 i))) 1) i)) (/ 0 (/ 1 i))))) into (* 50 (/ (exp (- (/ 1 i))) i)) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (- (/ 1 i))) i)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) i) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 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 (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))) 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 (+ (* (- (exp (- (/ 1 i))) 1) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 (- (exp (- (/ 1 i))) 1)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (- (* 1/3 (/ 1 (pow i 3)))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 0) into (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3))))) (+ (* 0 (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2)))) (* 0 (- (exp (- (/ 1 i))) 1)))) into (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 4))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 4))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 3)))) (/ 1 i)) (+ (* (* 100 (* (- (exp (- (/ 1 i))) 1) i)) (/ 0 (/ 1 i))) (* (* 50 (/ (exp (- (/ 1 i))) i)) (/ 0 (/ 1 i))))) into (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 3))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 3))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 25/2 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 25/2 in i * [misc]backup-simplify: Simplify 25/2 into 25/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (- (/ 1 i))) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 (+ (* (- (exp (- (/ 1 i))) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (+ (* 0 0) (+ (* 0 (- (exp (- (/ 1 i))) 1)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/4 (pow i 4))) (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (* 1/4 (/ 1 (pow i 4))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 3) 6)) (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)) (* (/ (pow (* 1/4 (/ 1 (pow i 4))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 0) into (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5))))) (+ (* 0 (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3))))) (+ (* 0 (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2)))) (* 0 (- (exp (- (/ 1 i))) 1))))) into (- (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 4))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 50/3 (/ (exp (- (/ 1 i))) (pow i 5)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 4))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 50/3 (/ (exp (- (/ 1 i))) (pow i 5)))) (/ 1 i)) (+ (* (* 100 (* (- (exp (- (/ 1 i))) 1) i)) (/ 0 (/ 1 i))) (* (* 50 (/ (exp (- (/ 1 i))) i)) (/ 0 (/ 1 i))) (* (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 3))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 2)))) (/ 0 (/ 1 i))))) into (- (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 3))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 50/3 (/ (exp (- (/ 1 i))) (pow i 4)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 3))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 50/3 (/ (exp (- (/ 1 i))) (pow i 4)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 3))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 25 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 25 in i * [misc]backup-simplify: Simplify 25 into 25 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 25/12 (/ (exp (- (/ 1 i))) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 25/12 in i * [misc]backup-simplify: Simplify 25/12 into 25/12 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (- (/ 1 i))) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 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 (exp (- (/ 1 i))))))))) 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 (- (/ 1 (/ 1 (- i)))))) 100) (* (/ 1 (- i)) (/ 1 (/ 1 (- n))))) into (/ (* (- (* 100 (exp i)) 100) n) i) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (* n (log1p (/ i n))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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]taylor: Taking taylor expansion of (- (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 (- (log i) (log n)))))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log i) (log n)) (* 1 n)) into (* n (- (log i) (log n))) * [misc]approximate: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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]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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (* 1/2 (/ 1 (pow i 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (log1p (/ i n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]taylor: Taking taylor expansion of (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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]taylor: Taking taylor expansion of (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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]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 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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]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]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)) into (- (log n) (log i)) * [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]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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) 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) 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]taylor: Taking taylor expansion of (/ 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log (/ 1 n)) (log (/ 1 i))) into (- (log (/ 1 n)) (log (/ 1 i))) * [misc]approximate: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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]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]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)) into (- (log n) (log 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 (- 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]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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) 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) 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]taylor: Taking taylor expansion of (/ 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log (/ 1 (- n))) (log (/ 1 (- i)))) into (- (log (/ -1 n)) (log (/ -1 i))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* 100 (expm1 (* n (log1p (/ i n))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* n (log1p (/ 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 (expm1 (* n (log1p (/ i n)))) in i * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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 (* 100 (expm1 (* n (log1p (/ 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 (expm1 (* n (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (* 100 (expm1 (* n (log1p (/ 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 (expm1 (* n (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (* n (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* 100 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [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 (+ (* 100 (- (log i) (log n))) (* 0 0)) into (- (* 100 (log i)) (* 100 (log n))) * [misc]taylor: Taking taylor expansion of (- (* 100 (log i)) (* 100 (log n))) in i * [misc]taylor: Taking taylor expansion of (* 100 (log i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 100 (log 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 (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* 100 (log i)) into (* 100 (log i)) * [misc]backup-simplify: Simplify (* 100 (log n)) into (* 100 (log n)) * [misc]backup-simplify: Simplify (- (* 100 (log n))) into (- (* 100 (log n))) * [misc]backup-simplify: Simplify (+ (* 100 (log i)) (- (* 100 (log n)))) 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 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 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 i) (* 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 i))) (+ (* 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 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 0 (- (log i) (log n))) (* 0 0))) into (- (+ (* 50 (pow (log n) 2)) (+ (* 50 (pow (log i) 2)) (* 100 (/ 1 i)))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50 (pow (log n) 2)) (+ (* 50 (pow (log i) 2)) (* 100 (/ 1 i)))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 50 (pow (log n) 2)) (+ (* 50 (pow (log i) 2)) (* 100 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* 50 (pow (log n) 2)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (+ (* 50 (pow (log i) 2)) (* 100 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (* 50 (pow (log i) 2)) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (* 100 (/ 1 i)) 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) 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 (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 50 (* (log i) (log n))) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (* (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (* 50 (* (log n) (log i))) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (* (log n) (log i)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 50 (pow (log n) 2)) into (* 50 (pow (log n) 2)) * [misc]backup-simplify: Simplify (* 50 (pow (log i) 2)) into (* 50 (pow (log i) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 50 (pow (log i) 2)) 0) into (* 50 (pow (log i) 2)) * [misc]backup-simplify: Simplify (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) into (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (log n)) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (* 50 (* (log i) (log n))) into (* 50 (* (log i) (log n))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log n) (log i)) into (* (log n) (log i)) * [misc]backup-simplify: Simplify (* 50 (* (log n) (log i))) into (* 50 (* (log n) (log i))) * [misc]backup-simplify: Simplify (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i)))) into (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i)))) * [misc]backup-simplify: Simplify (- (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) into (- (+ (* 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 (- (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (log 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 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log i)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 (- (log i) (log n)))))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow (/ 1 i) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2))))))))) (+ (* 0 (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i)))))) (+ (* 0 (- (log i) (log n))) (* 0 0)))) into (- (+ (* 50/3 (pow (log i) 3)) (+ (* 100 (/ (log i) i)) (+ (* 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))) (+ (* 100 (/ (log n) i)) (* 50 (/ 1 (pow i 2)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 50/3 (pow (log i) 3)) (+ (* 100 (/ (log i) i)) (+ (* 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))) (+ (* 100 (/ (log n) i)) (* 50 (/ 1 (pow i 2)))))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (pow (log i) 3)) (+ (* 100 (/ (log i) i)) (+ (* 100/3 (* (pow (log n) 2) (log i))) (* 50/3 (* (log i) (pow (log n) 2)))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (pow (log i) 3)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (pow (log i) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 3 (log (log i))) into (* 3 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log i)))) into (pow (log i) 3) * [misc]taylor: Taking taylor expansion of (+ (* 100 (/ (log i) i)) (+ (* 100/3 (* (pow (log n) 2) (log i))) (* 50/3 (* (log i) (pow (log n) 2))))) in i * [misc]taylor: Taking taylor expansion of (* 100 (/ (log i) i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (log i) i) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (log i) 1) into (log i) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (* (pow (log n) 2) (log i))) (* 50/3 (* (log i) (pow (log n) 2)))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (* (pow (log n) 2) (log i))) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (* (pow (log n) 2) (log i)) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* 50/3 (* (log i) (pow (log n) 2))) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (* (log i) (pow (log n) 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (pow (log n) 3)) (+ (* 50/3 (* (log n) (pow (log i) 2))) (+ (* 100/3 (* (pow (log i) 2) (log n))) (+ (* 100 (/ (log n) i)) (* 50 (/ 1 (pow i 2))))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (pow (log n) 3)) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (pow (log n) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 3 (log (log n))) into (* 3 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log n)))) into (pow (log n) 3) * [misc]taylor: Taking taylor expansion of (+ (* 50/3 (* (log n) (pow (log i) 2))) (+ (* 100/3 (* (pow (log i) 2) (log n))) (+ (* 100 (/ (log n) i)) (* 50 (/ 1 (pow i 2)))))) in i * [misc]taylor: Taking taylor expansion of (* 50/3 (* (log n) (pow (log i) 2))) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (* (log n) (pow (log i) 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (* (pow (log i) 2) (log n))) (+ (* 100 (/ (log n) i)) (* 50 (/ 1 (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (* (pow (log i) 2) (log n))) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (* (pow (log i) 2) (log n)) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (+ (* 100 (/ (log n) i)) (* 50 (/ 1 (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 100 (/ (log n) i)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (/ (log n) i) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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 (/ (log n) 1) into (log n) * [misc]taylor: Taking taylor expansion of (* 50 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 50/3 (pow (log i) 3)) into (* 50/3 (pow (log i) 3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (pow (log n) 2) (log i)) into (* (pow (log n) 2) (log i)) * [misc]backup-simplify: Simplify (* 100/3 (* (pow (log n) 2) (log i))) into (* 100/3 (* (pow (log n) 2) (log i))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (pow (log n) 2)) into (* (log i) (pow (log n) 2)) * [misc]backup-simplify: Simplify (* 50/3 (* (log i) (pow (log n) 2))) into (* 50/3 (* (log i) (pow (log n) 2))) * [misc]backup-simplify: Simplify (+ (* 100/3 (* (pow (log n) 2) (log i))) (* 50/3 (* (log i) (pow (log n) 2)))) into (+ (* 50/3 (* (log i) (pow (log n) 2))) (* 100/3 (* (pow (log n) 2) (log i)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 50/3 (* (log i) (pow (log n) 2))) (* 100/3 (* (pow (log n) 2) (log i))))) into (+ (* 50/3 (* (log i) (pow (log n) 2))) (* 100/3 (* (pow (log n) 2) (log i)))) * [misc]backup-simplify: Simplify (+ (* 50/3 (pow (log i) 3)) (+ (* 50/3 (* (log i) (pow (log n) 2))) (* 100/3 (* (pow (log n) 2) (log i))))) into (+ (* 50/3 (* (log i) (pow (log n) 2))) (+ (* 50/3 (pow (log i) 3)) (* 100/3 (* (pow (log n) 2) (log i))))) * [misc]backup-simplify: Simplify (* 50/3 (pow (log n) 3)) into (* 50/3 (pow (log n) 3)) * [misc]backup-simplify: Simplify (* (log n) (pow (log i) 2)) into (* (log n) (pow (log i) 2)) * [misc]backup-simplify: Simplify (* 50/3 (* (log n) (pow (log i) 2))) into (* 50/3 (* (log n) (pow (log i) 2))) * [misc]backup-simplify: Simplify (* (pow (log i) 2) (log n)) into (* (pow (log i) 2) (log n)) * [misc]backup-simplify: Simplify (* 100/3 (* (pow (log i) 2) (log n))) into (* 100/3 (* (pow (log i) 2) (log n))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100 0) (* 0 (log n))) 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 (+ (* 50 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 (* (pow (log i) 2) (log n))) 0) into (* 100/3 (* (pow (log i) 2) (log n))) * [misc]backup-simplify: Simplify (+ (* 50/3 (* (log n) (pow (log i) 2))) (* 100/3 (* (pow (log i) 2) (log n)))) into (+ (* 100/3 (* (pow (log i) 2) (log n))) (* 50/3 (* (log n) (pow (log i) 2)))) * [misc]backup-simplify: Simplify (+ (* 50/3 (pow (log n) 3)) (+ (* 100/3 (* (pow (log i) 2) (log n))) (* 50/3 (* (log n) (pow (log i) 2))))) into (+ (* 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 (- (+ (* 100/3 (* (pow (log i) 2) (log n))) (+ (* 50/3 (pow (log n) 3)) (* 50/3 (* (log n) (pow (log i) 2)))))) into (- (+ (* 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))))))) 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)))))) 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 (* 1 n) 3)) (+ (* (- (+ (* 50 (pow (log n) 2)) (* 50 (pow (log i) 2))) (+ (* 50 (* (log i) (log n))) (* 50 (* (log n) (log i))))) (pow (* 1 n) 2)) (* (- (* 100 (log i)) (* 100 (log n))) (* 1 n)))) into (- (+ (* 50 (* (pow n 2) (pow (log n) 2))) (+ (* 50/3 (* (pow n 3) (pow (log i) 3))) (+ (* 100 (* n (log i))) (+ (* 100/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 50/3 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 50 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 100/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 50 (* (pow n 2) (* (log n) (log i)))) (+ (* 50 (* (pow n 2) (* (log i) (log n)))) (+ (* 50/3 (* (pow n 3) (pow (log n) 3))) (+ (* 50/3 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* 100 (* n (log n))))))))) * [misc]approximate: Taking taylor expansion of (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n)))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 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 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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 (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 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 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 (* 100 (expm1 (* (/ 1 n) (log1p (/ (/ 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 (expm1 (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ 1 i)) 1)) into (* 100 (- (exp (/ 1 i)) 1)) * [misc]taylor: Taking taylor expansion of (* 100 (- (exp (/ 1 i)) 1)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [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 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ 1 i)) 1)) into (* 100 (- (exp (/ 1 i)) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (/ 1 i)) 1)) into (* 100 (- (exp (/ 1 i)) 1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 0) into (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1))) into (- (* 50 (/ (exp (/ 1 i)) (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 50 (/ (exp (/ 1 i)) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (/ 1 i)) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))) 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 (+ (* 100 0) (* 0 (- (exp (/ 1 i)) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)))) into (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 0) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) * [misc]backup-simplify: Simplify (+ (* 100 (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4))))) (+ (* 0 (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1)))) into (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 3))) (* 25/2 (/ (exp (/ 1 i)) (pow i 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 100/3 (/ (exp (/ 1 i)) (pow i 3))) (* 25/2 (/ (exp (/ 1 i)) (pow i 4)))) in i * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 25/2 (/ (exp (/ 1 i)) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 25/2 in i * [misc]backup-simplify: Simplify 25/2 into 25/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) 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 (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (/ 1 i)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/4 (pow i 4))) (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (- (* 1/4 (/ 1 (pow i 4)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 3) 6)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1) (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)) (* (/ (pow (- (* 1/4 (/ 1 (pow i 4)))) 1) 1)))) into (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 0) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5))))))) (+ (* 0 (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4))))) (+ (* 0 (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2))))) (* 0 (- (exp (/ 1 i)) 1))))) into (- (+ (* 25 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 25/12 (/ (exp (/ 1 i)) (pow i 6))) (* 50/3 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 25 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 25/12 (/ (exp (/ 1 i)) (pow i 6))) (* 50/3 (/ (exp (/ 1 i)) (pow i 5)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 25 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 25/12 (/ (exp (/ 1 i)) (pow i 6))) (* 50/3 (/ (exp (/ 1 i)) (pow i 5))))) in i * [misc]taylor: Taking taylor expansion of (* 25 (/ (exp (/ 1 i)) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 25 in i * [misc]backup-simplify: Simplify 25 into 25 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (+ (* 25/12 (/ (exp (/ 1 i)) (pow i 6))) (* 50/3 (/ (exp (/ 1 i)) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 25/12 (/ (exp (/ 1 i)) (pow i 6))) in i * [misc]taylor: Taking taylor expansion of 25/12 in i * [misc]backup-simplify: Simplify 25/12 into 25/12 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 6)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 6) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (/ 1 i)) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 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 (exp (/ 1 i)))))))) 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 (/ 1 i))) 1)) into (* 100 (- (exp i) 1)) * [misc]approximate: Taking taylor expansion of (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n))))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 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 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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 (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 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 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 (* 100 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 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 (expm1 (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (- (/ 1 i))) 1)) into (* 100 (- (exp (- (/ 1 i))) 1)) * [misc]taylor: Taking taylor expansion of (* 100 (- (exp (- (/ 1 i))) 1)) in i * [misc]taylor: Taking taylor expansion of 100 in i * [misc]backup-simplify: Simplify 100 into 100 * [misc]taylor: Taking taylor expansion of (- (exp (- (/ 1 i))) 1) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [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 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (* 100 (- (exp (- (/ 1 i))) 1)) into (* 100 (- (exp (- (/ 1 i))) 1)) * [misc]backup-simplify: Simplify (* 100 (- (exp (- (/ 1 i))) 1)) into (* 100 (- (exp (- (/ 1 i))) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))) into (* 1/2 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1)))) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) 0) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (+ (* 100 (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2)))) (* 0 (- (exp (- (/ 1 i))) 1))) into (* 50 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]taylor: Taking taylor expansion of (* 50 (/ (exp (- (/ 1 i))) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 50 in i * [misc]backup-simplify: Simplify 50 into 50 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))) 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 (+ (* 100 0) (* 0 (- (exp (- (/ 1 i))) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (- (* 1/3 (/ 1 (pow i 3)))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 0) into (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3))))) (+ (* 0 (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2)))) (* 0 (- (exp (- (/ 1 i))) 1)))) into (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 4))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 3)))) * [misc]taylor: Taking taylor expansion of (- (* 25/2 (/ (exp (- (/ 1 i))) (pow i 4))) (* 100/3 (/ (exp (- (/ 1 i))) (pow i 3)))) in i * [misc]taylor: Taking taylor expansion of (* 25/2 (/ (exp (- (/ 1 i))) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 25/2 in i * [misc]backup-simplify: Simplify 25/2 into 25/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 100/3 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 100/3 in i * [misc]backup-simplify: Simplify 100/3 into 100/3 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 100/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 50 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 (+ (* 100 0) (+ (* 0 0) (* 0 (- (exp (- (/ 1 i))) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ -1/4 (pow i 4))) (+ (* 0 (/ 1/3 (pow i 3))) (+ (* 0 (/ -1/2 (pow i 2))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (* 1/4 (/ 1 (pow i 4))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 3) 6)) (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)) (* (/ (pow (* 1/4 (/ 1 (pow i 4))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 0) into (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5)))) * [misc]backup-simplify: Simplify (+ (* 100 (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5))))) (+ (* 0 (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3))))) (+ (* 0 (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2)))) (* 0 (- (exp (- (/ 1 i))) 1))))) into (- (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 4))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 50/3 (/ (exp (- (/ 1 i))) (pow i 5)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 4))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 50/3 (/ (exp (- (/ 1 i))) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 25 (/ (exp (- (/ 1 i))) (pow i 4))) (* 25/12 (/ (exp (- (/ 1 i))) (pow i 6)))) in i * [misc]taylor: Taking taylor expansion of (* 25 (/ (exp (- (/ 1 i))) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 25 in i * [misc]backup-simplify: Simplify 25 into 25 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 25/12 (/ (exp (- (/ 1 i))) (pow i 6))) in i * [misc]taylor: Taking taylor expansion of 25/12 in i * [misc]backup-simplify: Simplify 25/12 into 25/12 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 6)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 6) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 50/3 (/ (exp (- (/ 1 i))) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 50/3 in i * [misc]backup-simplify: Simplify 50/3 into 50/3 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 25/12 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 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 (exp (- (/ 1 i))))))))) 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 (- (/ 1 (/ 1 (- i))))) 1)) into (* 100 (- (exp i) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* 100 (expm1 (* n (log1p (/ i n)))))) (log (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (+ (log (expm1 (* n (log1p (/ i n))))) (- (log 100) (log (/ i n)))) * [misc]simplify: Simplified (2 1) to (λ (i n) (exp (+ (log (expm1 (* n (log1p (/ i n))))) (- (log 100) (log (/ i n)))))) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* 100 (expm1 (* n (log1p (/ i n))))) (* 100 (expm1 (* n (log1p (/ i n)))))) (* 100 (expm1 (* n (log1p (/ i n)))))) (* (* (/ i n) (/ i n)) (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 (* n (log1p (/ i n)))) (/ i (* 100 n))) 3) * [misc]simplify: Simplified (2 1) to (λ (i n) (cbrt (pow (/ (expm1 (* n (log1p (/ i n)))) (/ i (* 100 n))) 3))) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (/ 100 (cbrt (/ i n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (/ (/ 100 (cbrt (/ i n))) (cbrt (/ i n))) (/ (expm1 (* n (log1p (/ i n)))) (cbrt (/ i n))))) * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))))) * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 100 (sqrt (/ i n))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ 100 (sqrt (/ i n))) * [misc]simplify: Simplified (2 1) to (λ (i n) (* (/ 100 (sqrt (/ i n))) (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n))))) * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 (sqrt (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n))))) * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 100 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 100 * [misc]simplify: Simplified (2 1) to (λ (i n) (* 100 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))) * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (/ i n)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)))) * * * * [misc]progress: [ 15 / 73 ] 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) (/ (expm1 (* n (log1p (/ i n)))) (/ 1 n)))) * [enter]simplify: Simplifying (/ (expm1 (* n (log1p (/ i n)))) (/ 1 n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (expm1 (* (log1p (/ i n)) n)) n) * [misc]simplify: Simplified (2 2) to (λ (i n) (* (/ 100 i) (* (expm1 (* (log1p (/ i n)) n)) n))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 73 ] 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) to (λ (i n) (/ (/ (* 100 (expm1 (* n (log1p (/ i n))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n)))) * * * * [misc]progress: [ 20 / 73 ] 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) to (λ (i n) (/ (/ (* 100 (expm1 (* n (log1p (/ i n))))) (sqrt (/ i n))) (sqrt (/ i n)))) * * * * [misc]progress: [ 21 / 73 ] 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 (expm1 (* n (log1p (/ i n))))) 1) (/ i n))) * * * * [misc]progress: [ 22 / 73 ] 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) to (λ (i n) (/ (/ (* 100 (expm1 (* n (log1p (/ i n))))) i) (/ 1 n))) * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p (/ i n))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (log1p (/ i n))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (i n) (/ (* 100 (expm1 (* (* n (* (cbrt (log1p (/ i n))) (cbrt (log1p (/ i n))))) (cbrt (log1p (/ i n)))))) (/ i n))) * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (/ i n))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (log1p (/ i n))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (i n) (/ (* 100 (expm1 (* (* n (sqrt (log1p (/ i n)))) (sqrt (log1p (/ i n)))))) (/ i n))) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ i n)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (/ i n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (i n) (/ (* 100 (expm1 (* (* n 1) (log1p (/ i n))))) (/ i n))) * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 73 ] 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 1 2 1) to (λ (i n) (/ (* 100 (expm1 (* n (log1p (/ i n))))) (/ i n))) * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (* n (log1p (/ i n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (* (log1p (/ i n)) n))) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (/ (* (* 100 (* (cbrt (expm1 (* n (log1p (/ i n))))) (cbrt (expm1 (* n (log1p (/ i n))))))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ i n))) * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* n (log1p (/ i n))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* (log1p (/ i n)) n))) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (/ (* (* 100 (sqrt (expm1 (* n (log1p (/ i n)))))) (sqrt (expm1 (* (log1p (/ i n)) n)))) (/ i n))) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* n (log1p (/ i n)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (expm1 (* (log1p (/ i n)) n)) * [misc]simplify: Simplified (2 1 2) to (λ (i n) (/ (* (* 100 1) (expm1 (* (log1p (/ i n)) n))) (/ i n))) * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 73 ] 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: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (* 100 (exp i)) 100) n) i) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (fma (exp i) 100 (- 100)) (/ i n)) * [misc]simplify: Simplified (2) to (λ (i n) (/ (fma (exp i) 100 (- 100)) (/ i n))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (* 100 (exp i)) 100) n) i) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (fma (exp i) 100 (- 100)) (/ i n)) * [misc]simplify: Simplified (2) to (λ (i n) (/ (fma (exp i) 100 (- 100)) (/ i n))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* n (- (log i) (log n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (- (log i) (log n)) n) * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (/ (* 100 (expm1 (* (- (log i) (log n)) n))) (/ i n))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (/ (* 100 (expm1 0)) (/ i n))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (i n) (/ (* 100 (expm1 0)) (/ i n))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (i n) (/ (* 100 (expm1 (* n 0))) (/ i n))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 n)) (log (/ 1 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (- (log i) (log n)) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (i n) (/ (* 100 (expm1 (* n (- (log i) (log n))))) (/ i n))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ -1 n)) (log (/ -1 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (log (/ -1 n)) (log (/ -1 i))) * [misc]simplify: Simplified (2 1 2 1 2) to (λ (i n) (/ (* 100 (expm1 (* n (- (log (/ -1 n)) (log (/ -1 i)))))) (/ i n))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 50 (* (pow n 2) (pow (log n) 2))) (+ (* 50/3 (* (pow n 3) (pow (log i) 3))) (+ (* 100 (* n (log i))) (+ (* 100/3 (* (pow n 3) (* (pow (log n) 2) (log i)))) (+ (* 50/3 (* (pow n 3) (* (log i) (pow (log n) 2)))) (* 50 (* (pow n 2) (pow (log i) 2)))))))) (+ (* 100/3 (* (pow n 3) (* (pow (log i) 2) (log n)))) (+ (* 50 (* (pow n 2) (* (log n) (log i)))) (+ (* 50 (* (pow n 2) (* (log i) (log n)))) (+ (* 50/3 (* (pow n 3) (pow (log n) 3))) (+ (* 50/3 (* (pow n 3) (* (log n) (pow (log i) 2)))) (* 100 (* n (log n))))))))) * * [misc]simplify: iters left: 6 (57 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (- (+ (+ (* (* (log n) (log n)) (* (* n n) 50)) (fma (* (* 50/3 n) (* n n)) (pow (log i) 3) (* (* 100 n) (log i)))) (fma (* (* 100/3 n) (* n n)) (* (log i) (* (log n) (log n))) (fma (* (* 50/3 n) (* n n)) (* (log i) (* (log n) (log n))) (* (* (* n n) 50) (* (log i) (log i)))))) (+ (+ (fma (* (* 100/3 n) (* n n)) (* (log n) (* (log i) (log i))) (* (* (log n) (log i)) (* (* n n) 50))) (* (* (log n) (log i)) (* (* n n) 50))) (fma (* (* 50/3 n) (* n n)) (pow (log n) 3) (fma (* (* 50/3 n) (* n n)) (* (log n) (* (log i) (log i))) (* (log n) (* 100 n)))))) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (- (+ (+ (* (* (log n) (log n)) (* (* n n) 50)) (fma (* (* 50/3 n) (* n n)) (pow (log i) 3) (* (* 100 n) (log i)))) (fma (* (* 100/3 n) (* n n)) (* (log i) (* (log n) (log n))) (fma (* (* 50/3 n) (* n n)) (* (log i) (* (log n) (log n))) (* (* (* n n) 50) (* (log i) (log i)))))) (+ (+ (fma (* (* 100/3 n) (* n n)) (* (log n) (* (log i) (log i))) (* (* (log n) (log i)) (* (* n n) 50))) (* (* (log n) (log i)) (* (* n n) 50))) (fma (* (* 50/3 n) (* n n)) (pow (log n) 3) (fma (* (* 50/3 n) (* n n)) (* (log n) (* (log i) (log i))) (* (log n) (* 100 n)))))) (/ i n))) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (- (exp i) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (expm1 i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (* (expm1 i) 100) (/ i n))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* 100 (- (exp i) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (expm1 i) 100) * [misc]simplify: Simplified (2 1) to (λ (i n) (/ (* (expm1 i) 100) (/ i n))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ i n)) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ i n)) in i * [misc]taylor: Taking taylor expansion of (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (* n (expm1 (log1p (log1p (/ i n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (expm1 (log1p (log1p (/ i n)))))) in i * [misc]taylor: Taking taylor expansion of (* n (expm1 (log1p (log1p (/ 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 (expm1 (log1p (log1p (/ i n)))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 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 (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]backup-simplify: Simplify (* n 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) 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 (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (expm1 (log1p (log1p (/ i n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (expm1 (log1p (log1p (/ i n)))))) in n * [misc]taylor: Taking taylor expansion of (* n (expm1 (log1p (log1p (/ 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 (expm1 (log1p (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (+ 1 (- (log i) (log n))) into (- (+ 1 (log i)) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log i)) (log n))) into (log (- (+ 1 (log i)) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log i)) (log n)))) into (- (+ 1 (log i)) (log 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 (+ (- (+ 1 (log i)) (log n)) -1) 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 (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow (- (+ 1 (log i)) (log n)) 1)))) 1) into (/ 1 (* i (- (+ 1 (log i)) (log n)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log i)) (log n)))) (+ (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) into (/ 1 i) * [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 (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ i n)) in n * [misc]taylor: Taking taylor expansion of (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (* n (expm1 (log1p (log1p (/ i n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* n (expm1 (log1p (log1p (/ i n)))))) in n * [misc]taylor: Taking taylor expansion of (* n (expm1 (log1p (log1p (/ 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 (expm1 (log1p (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (+ 1 (- (log i) (log n))) into (- (+ 1 (log i)) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log i)) (log n))) into (log (- (+ 1 (log i)) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log i)) (log n)))) into (- (+ 1 (log i)) (log 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 (+ (- (+ 1 (log i)) (log n)) -1) 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 (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow (- (+ 1 (log i)) (log n)) 1)))) 1) into (/ 1 (* i (- (+ 1 (log i)) (log n)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log i)) (log n)))) (+ (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) into (/ 1 i) * [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 (/ (- (log i) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (- (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (/ (- (log i) (log n)) 1) into (- (log i) (log n)) * [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 n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow i 2))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow (- (+ 1 (log i)) (log n)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow (- (+ 1 (log i)) (log n)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow i 2) (- (+ 1 (log i)) (log n)))) (/ 1 (* (pow i 2) (pow (- (+ 1 (log i)) (log n)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log i)) (log n)))) (+ (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (pow i 2) (- (+ 1 (log i)) (log n)))) (/ 1 (* (pow i 2) (pow (- (+ 1 (log i)) (log n)) 2))))) 1) 1)))) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow i 2)) 0) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 i) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 2) 2)) (* (/ (pow (/ 1 i) 1) 1)))) into (- (+ (* 1/2 (pow (log n) 2)) (+ (/ 1 i) (* 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 i) (* 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 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (pow (log n) 2)) (+ (* 1/2 (pow (log i) 2)) (/ 1 i))) (+ (* 1/2 (* (log i) (log n))) (* 1/2 (* (log n) (log i))))) i) (+ (* (/ (- (log i) (log n)) i) (/ 0 i)))) into (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (log i) 2) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (log i) 2) i) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [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 (/ (pow (log i) 2) 1) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow (log n) 2) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (log n) 2) i) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [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 (/ (pow (log n) 2) 1) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* (log n) (log i)) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (log n) (log i)) i) in i * [misc]taylor: Taking taylor expansion of (* (log n) (log i)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) 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]taylor: Taking taylor expansion of (* 1/2 (/ (* (log i) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (log i) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (* (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (log n)) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (/ (* (log i) (log n)) 1) into (* (log i) (log n)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow (log i) 2))) 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 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (pow (log n) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (log n) (log i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (log i) (log n)))) 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 (/ (* (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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (pow i 3))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow (- (+ 1 (log i)) (log n)) 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow (- (+ 1 (log i)) (log n)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/3 (/ 1 (pow i 3)))) 1)) (pow (- (+ 1 (log i)) (log n)) 1)))) 6) into (* 1/6 (+ (* 3 (/ 1 (* (pow i 3) (pow (- (+ 1 (log i)) (log n)) 2)))) (+ (* 2 (/ 1 (* (pow i 3) (- (+ 1 (log i)) (log n))))) (* 2 (/ 1 (* (pow i 3) (pow (- (+ 1 (log i)) (log n)) 3))))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log i)) (log n)))) (+ (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 3) 6)) (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 1) 1) (/ (pow (* -1/2 (+ (/ 1 (* (pow i 2) (- (+ 1 (log i)) (log n)))) (/ 1 (* (pow i 2) (pow (- (+ 1 (log i)) (log n)) 2))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 3 (/ 1 (* (pow i 3) (pow (- (+ 1 (log i)) (log n)) 2)))) (+ (* 2 (/ 1 (* (pow i 3) (- (+ 1 (log i)) (log n))))) (* 2 (/ 1 (* (pow i 3) (pow (- (+ 1 (log i)) (log n)) 3))))))) 1) 1)))) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/3 (pow i 3)) 0) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/3 (/ 1 (pow i 3)))) (+ (* 1 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 (- (log i) (log n)))))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (log i) (log n)) 3) 6)) (* (/ (pow (- (log i) (log n)) 1) 1) (/ (pow (/ 1 i) 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) 0) into (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/6 (pow (log i) 3)) (+ (/ (log i) i) (+ (* 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))) (+ (/ (log n) i) (* 1/2 (/ 1 (pow i 2)))))))) i) (+ (* (/ (- (log i) (log n)) i) (/ 0 i)) (* (- (+ (* 1/2 (/ (pow (log i) 2) i)) (+ (/ 1 (pow i 2)) (* 1/2 (/ (pow (log n) 2) i)))) (+ (* 1/2 (/ (* (log n) (log i)) i)) (* 1/2 (/ (* (log i) (log n)) i)))) (/ 0 i)))) into (- (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* (log i) (pow (log n) 2)) i)) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* (log i) (pow (log n) 2)) i) in i * [misc]taylor: Taking taylor expansion of (* (log i) (pow (log n) 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (log i) (pow (log n) 2)) into (* (log i) (pow (log n) 2)) * [misc]backup-simplify: Simplify (/ (* (log i) (pow (log n) 2)) 1) into (* (log i) (pow (log n) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (pow (log i) 3) i)) (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (pow (log i) 3) i)) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (pow (log i) 3) i) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 3 (log (log i))) into (* 3 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log i)))) into (pow (log i) 3) * [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 (/ (pow (log i) 3) 1) into (pow (log i) 3) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) (/ (log i) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (* (pow (log n) 2) (log i)) i)) in i * [misc]taylor: Taking taylor expansion of 1/3 in i * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (log n) 2) (log i)) i) in i * [misc]taylor: Taking taylor expansion of (* (pow (log n) 2) (log i)) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 2 (log (log n))) into (* 2 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log n)))) into (pow (log n) 2) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (* (pow (log n) 2) (log i)) into (* (pow (log n) 2) (log i)) * [misc]backup-simplify: Simplify (/ (* (pow (log n) 2) (log i)) 1) into (* (pow (log n) 2) (log i)) * [misc]taylor: Taking taylor expansion of (/ (log i) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (log i) 1) into (log i) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2)))))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* (log n) (pow (log i) 2)) i)) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* (log n) (pow (log i) 2)) i) in i * [misc]taylor: Taking taylor expansion of (* (log n) (pow (log i) 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [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 (* (log n) (pow (log i) 2)) into (* (log n) (pow (log i) 2)) * [misc]backup-simplify: Simplify (/ (* (log n) (pow (log i) 2)) 1) into (* (log n) (pow (log i) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow i 3))) (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (* (pow (log i) 2) (log n)) i)) in i * [misc]taylor: Taking taylor expansion of 1/3 in i * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (* (pow (log i) 2) (log n)) i) in i * [misc]taylor: Taking taylor expansion of (* (pow (log i) 2) (log n)) in i * [misc]taylor: Taking taylor expansion of (pow (log i) 2) in i * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (log i)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (log (log i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (log i)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (log (log i)) into (log (log i)) * [misc]backup-simplify: Simplify (* 2 (log (log i))) into (* 2 (log (log i))) * [misc]backup-simplify: Simplify (exp (* 2 (log (log i)))) into (pow (log i) 2) * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [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 (* (pow (log i) 2) (log n)) into (* (pow (log i) 2) (log n)) * [misc]backup-simplify: Simplify (/ (* (pow (log i) 2) (log n)) 1) into (* (pow (log i) 2) (log n)) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (pow (log n) 3) i)) (/ (log n) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (pow (log n) 3) i)) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (pow (log n) 3) i) in i * [misc]taylor: Taking taylor expansion of (pow (log n) 3) in i * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (log n)))) in i * [misc]taylor: Taking taylor expansion of (* 3 (log (log n))) in i * [misc]taylor: Taking taylor expansion of 3 in i * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (log n)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (log (log n)) into (log (log n)) * [misc]backup-simplify: Simplify (* 3 (log (log n))) into (* 3 (log (log n))) * [misc]backup-simplify: Simplify (exp (* 3 (log (log n)))) into (pow (log n) 3) * [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 (/ (pow (log n) 3) 1) into (pow (log n) 3) * [misc]taylor: Taking taylor expansion of (/ (log n) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (log n) 1) into (log n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (* 0 (pow (log n) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (pow (log n) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (* (log i) (pow (log n) 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow (log i) 3))) 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 n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (pow (log n) 2) 0) (* 0 (log i))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (log n) 2) (log i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* (pow (log n) 2) (log i)))) 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) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log i) (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (pow (log i) 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (pow (log i) 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (* (log n) (pow (log i) 2)))) 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 (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log i) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log (log i)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (log i) 2) 0) (* 0 (log n))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (pow (log i) 2) (log n)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (* (pow (log i) 2) (log n)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (log n) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (log n)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow (log n) 3))) 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 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (log n) (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [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) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (log i) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log i) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (log i))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log i)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log i) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (log i) 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ (* (pow (* 1 0) 2)) (pow (log n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (log n) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log (log n))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow (log n) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (log n) 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 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 n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (+ (* (log n) 0) (+ (* 0 0) (* 0 (log i)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log n) (log i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (log n) (log i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log i) 0) (+ (* 0 0) (* 0 (log n)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (log i) (log n)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* (log i) (log n))))) 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 (/ (+ (* 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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- (log i) (log 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]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) (/ (/ 1 i) (/ 1 n))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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 (- (log n) (log i))) into (- (+ 1 (log n)) (log i)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log n)) (log i))) into (log (- (+ 1 (log n)) (log i))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log n)) (log i)))) into (- (+ 1 (log n)) (log i)) * [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 (log n)) (log i)) -1) 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 (/ (expm1 (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (* 1 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) 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 (/ (expm1 (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (* 1 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) 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 (* (- (exp (/ 1 i)) 1) i) in i * [misc]taylor: Taking taylor expansion of (- (exp (/ 1 i)) 1) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 i)) -1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (/ 1 i)) 1) 1) (* 0 0)) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 i)) 1) into (- (exp (/ 1 i)) 1) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow i 2))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow 1 1)))) 2) into (/ -1 (pow i 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 2) 2)) (* (/ (pow (/ -1 (pow i 2)) 1) 1)))) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow i 2)) 0) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 0))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (exp (/ 1 i)) (pow i 2))) 0) into (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ (exp (/ 1 i)) (pow i 2)))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))))) into (- (* 1/2 (/ (exp (/ 1 i)) i))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (exp (/ 1 i)) i))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (/ 1 i)) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) i) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 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 (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))) 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 (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (pow i 3))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/3 (/ 1 (pow i 3)))) 1)) (pow 1 1)))) 6) into (/ 7/6 (pow i 3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 3) 6)) (* (/ (pow (/ 1 i) 1) 1) (/ (pow (/ -1 (pow i 2)) 1) 1)) (* (/ (pow (/ 7/6 (pow i 3)) 1) 1)))) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/3 (pow i 3)) 0) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)))) into (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (/ 1 i)) (+ (* 1/3 (/ 1 (pow i 3))) (* 1/8 (/ 1 (pow i 4))))) 0) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 3))) (* 1/8 (/ (exp (/ 1 i)) (pow i 4)))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))) (* (- (* 1/2 (/ (exp (/ 1 i)) i))) (/ 0 (/ 1 i))))) into (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) in i * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/3 in i * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 1/8 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/8 in i * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i)))))) 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 (+ (* (- (exp (/ 1 i)) 1) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/4 (pow i 4))) into (- (* 1/4 (/ 1 (pow i 4)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 (* 1/3 (/ 1 (pow i 3)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/4 (/ 1 (pow i 4))))) 1)) (pow 1 1)))) 24) into (/ -35/24 (pow i 4)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 4) 24)) (* (/ (pow (/ 1 i) 2) 2) (/ (pow (/ -1 (pow i 2)) 1) 1)) (* (/ (pow (/ 1 i) 1) 1) (/ (pow (/ 7/6 (pow i 3)) 1) 1)) (* (/ (pow (/ -1 (pow i 2)) 2) 2)) (* (/ (pow (/ -35/24 (pow i 4)) 1) 1)))) into (/ -1/4 (pow i 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/4 (pow i 4)) 0) into (- (* 1/4 (/ 1 (pow i 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/4 (/ 1 (pow i 4))))) (+ (* 0 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (- (* 1/4 (/ 1 (pow i 4)))) * [misc]backup-simplify: Simplify (* (exp (/ 1 i)) (+ (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 3) 6)) (* (/ (pow (- (* 1/2 (/ 1 (pow i 2)))) 1) 1) (/ (pow (* 1/3 (/ 1 (pow i 3))) 1) 1)) (* (/ (pow (- (* 1/4 (/ 1 (pow i 4)))) 1) 1)))) into (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (/ 1 i)) (+ (* 1/48 (/ 1 (pow i 6))) (+ (* 1/6 (/ 1 (pow i 5))) (* 1/4 (/ 1 (pow i 4))))))) 0) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 4))) (+ (* 1/48 (/ (exp (/ 1 i)) (pow i 6))) (* 1/6 (/ (exp (/ 1 i)) (pow i 5)))))) (/ 1 i)) (+ (* (* (- (exp (/ 1 i)) 1) i) (/ 0 (/ 1 i))) (* (- (* 1/2 (/ (exp (/ 1 i)) i))) (/ 0 (/ 1 i))) (* (+ (* 1/3 (/ (exp (/ 1 i)) (pow i 2))) (* 1/8 (/ (exp (/ 1 i)) (pow i 3)))) (/ 0 (/ 1 i))))) into (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5))))) in i * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (exp (/ 1 i)) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/4 in i * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) (* 1/48 (/ (exp (/ 1 i)) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (/ 1 i)) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 1/48 (/ (exp (/ 1 i)) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 1/48 in i * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 i)) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (/ 1 i)) 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]backup-simplify: Simplify (exp (/ 1 i)) into (exp (/ 1 i)) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (/ 1 i)) 1) into (exp (/ 1 i)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 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 (exp (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (/ 1 i)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 i))))))))) 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 (/ 1 i))) 1) (* (/ 1 i) (/ 1 (/ 1 n)))) into (/ (* (- (exp i) 1) n) i) * [misc]approximate: Taking taylor expansion of (/ (expm1 (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) in i * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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 (- (log n) (log i))) into (- (+ 1 (log n)) (log i)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log n)) (log i))) into (log (- (+ 1 (log n)) (log i))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log n)) (log i)))) into (- (+ 1 (log n)) (log i)) * [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 (log n)) (log i)) -1) 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 (/ (expm1 (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (* -1 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) 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 (/ (expm1 (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Taking taylor expansion of (expm1 (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) in n * [misc]taylor: Rewrote expression to (- (exp (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) 1) * [misc]taylor: Taking taylor expansion of (exp (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))))) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (* -1 0) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) 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 (* (- (exp (- (/ 1 i))) 1) i) in i * [misc]taylor: Taking taylor expansion of (- (exp (- (/ 1 i))) 1) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [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) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (/ 1 i))) -1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (- (/ 1 i))) 1) 1) (* 0 0)) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (- (exp (- (/ 1 i))) 1) into (- (exp (- (/ 1 i))) 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow i 2))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow 1 1)))) 2) into (/ -1 (pow i 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 2) 2)) (* (/ (pow (/ -1 (pow i 2)) 1) 1)))) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow i 2)) 0) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 0))) into (* 1/2 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1)))) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) 0) into (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (exp (- (/ 1 i))) (pow i 2))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))))) into (* 1/2 (/ (exp (- (/ 1 i))) i)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (exp (- (/ 1 i))) i)) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) i) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 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 (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))) 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 (+ (* (- (exp (- (/ 1 i))) 1) 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 (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (pow i 3))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/3 (/ 1 (pow i 3)))) 1)) (pow 1 1)))) 6) into (/ 7/6 (pow i 3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 3) 6)) (* (/ (pow (/ 1 i) 1) 1) (/ (pow (/ -1 (pow i 2)) 1) 1)) (* (/ (pow (/ 7/6 (pow i 3)) 1) 1)))) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/3 (pow i 3)) 0) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 0)))) into (- (* 1/3 (/ 1 (pow i 3)))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 2) 2)) (* (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (* 1/8 (/ 1 (pow i 4))) (* 1/3 (/ 1 (pow i 3))))) 0) into (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 3)))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))) (* (* 1/2 (/ (exp (- (/ 1 i))) i)) (/ 0 (/ 1 i))))) into (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/8 in i * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/3 in i * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i))))))) 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 (+ (* (- (exp (- (/ 1 i))) 1) 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 (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into (/ -1/4 (pow i 4)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/4 (pow i 4))) into (- (* 1/4 (/ 1 (pow i 4)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (/ 1 i)) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 (/ 1 i)) 2) (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 (/ 1 i)) 1) 1 (pow (* 6 (* 1/3 (/ 1 (pow i 3)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/4 (/ 1 (pow i 4))))) 1)) (pow 1 1)))) 24) into (/ -35/24 (pow i 4)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 4) 24)) (* (/ (pow (/ 1 i) 2) 2) (/ (pow (/ -1 (pow i 2)) 1) 1)) (* (/ (pow (/ 1 i) 1) 1) (/ (pow (/ 7/6 (pow i 3)) 1) 1)) (* (/ (pow (/ -1 (pow i 2)) 2) 2)) (* (/ (pow (/ -35/24 (pow i 4)) 1) 1)))) into (/ -1/4 (pow i 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/4 (pow i 4)) 0) into (- (* 1/4 (/ 1 (pow i 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 1/4 (/ 1 (pow i 4))))) (+ (* 0 (* 1/3 (/ 1 (pow i 3)))) (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 0))))) into (* 1/4 (/ 1 (pow i 4))) * [misc]backup-simplify: Simplify (* (exp (- (/ 1 i))) (+ (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 3) 6)) (* (/ (pow (* 1/2 (/ 1 (pow i 2))) 1) 1) (/ (pow (- (* 1/3 (/ 1 (pow i 3)))) 1) 1)) (* (/ (pow (* 1/4 (/ 1 (pow i 4))) 1) 1)))) into (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (- (/ 1 i))) (- (+ (* 1/48 (/ 1 (pow i 6))) (* 1/4 (/ 1 (pow i 4)))) (* 1/6 (/ 1 (pow i 5))))) 0) into (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 4))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 6)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 5)))) (/ 1 i)) (+ (* (* (- (exp (- (/ 1 i))) 1) i) (/ 0 (/ 1 i))) (* (* 1/2 (/ (exp (- (/ 1 i))) i)) (/ 0 (/ 1 i))) (* (- (* 1/8 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/3 (/ (exp (- (/ 1 i))) (pow i 2)))) (/ 0 (/ 1 i))))) into (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 4)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5)))) (* 1/6 (/ (exp (- (/ 1 i))) (pow i 4)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5)))) in i * [misc]taylor: Taking taylor expansion of (* 1/4 (/ (exp (- (/ 1 i))) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of 1/4 in i * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 1/48 (/ (exp (- (/ 1 i))) (pow i 5))) in i * [misc]taylor: Taking taylor expansion of 1/48 in i * [misc]backup-simplify: Simplify 1/48 into 1/48 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 5)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 5) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (exp (- (/ 1 i))) (pow i 4))) in i * [misc]taylor: Taking taylor expansion of 1/6 in i * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (exp (- (/ 1 i))) (pow i 4)) in i * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 i))) into (exp (- (/ 1 i))) * [misc]taylor: Taking taylor expansion of (pow i 4) in i * [misc]backup-simplify: Simplify (/ (exp (- (/ 1 i))) 1) into (exp (- (/ 1 i))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (- (/ 1 i)))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (- (/ 1 i))) (/ 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 (exp (- (/ 1 i))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (exp (- (/ 1 (/ 1 (- i))))) 1) (* (/ 1 (- i)) (/ 1 (/ 1 (- n))))) into (/ (* (- (exp i) 1) n) i) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* n (expm1 (log1p (log1p (/ i n))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* n (expm1 (log1p (log1p (/ 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 (expm1 (log1p (log1p (/ i n)))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 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 (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 (* n (expm1 (log1p (log1p (/ 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 (expm1 (log1p (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (+ 1 (- (log i) (log n))) into (- (+ 1 (log i)) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log i)) (log n))) into (log (- (+ 1 (log i)) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log i)) (log n)))) into (- (+ 1 (log i)) (log n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* n (expm1 (log1p (log1p (/ 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 (expm1 (log1p (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (+ 1 (- (log i) (log n))) into (- (+ 1 (log i)) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log i)) (log n))) into (log (- (+ 1 (log i)) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log i)) (log n)))) into (- (+ 1 (log i)) (log 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 (+ (- (+ 1 (log i)) (log n)) -1) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (* 0 (- (log i) (log n))) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 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 (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 i)) 1)) (pow (- (+ 1 (log i)) (log n)) 1)))) 1) into (/ 1 (* i (- (+ 1 (log i)) (log n)))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log i)) (log n)))) (+ (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 0 (/ 1 i)) (* 1 (- (log i) (log n)))) into (- (log i) (log n)) * [misc]taylor: Taking taylor expansion of (- (log i) (log n)) in i * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log n) in i * [misc]taylor: Taking taylor expansion of n in i * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (log n) into (log n) * [misc]backup-simplify: Simplify (+ (* (- -1) (log i)) 0) into (log i) * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) * [misc]backup-simplify: Simplify (+ (log i) (- (log n))) into (- (log i) (log n)) * [misc]backup-simplify: Simplify (- (log i) (log n)) into (- (log i) (log n)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow i 2))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow (- (+ 1 (log i)) (log n)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow (- (+ 1 (log i)) (log n)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow i 2) (- (+ 1 (log i)) (log n)))) (/ 1 (* (pow i 2) (pow (- (+ 1 (log i)) (log n)) 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log i)) (log n)))) (+ (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (pow i 2) (- (+ 1 (log i)) (log n)))) (/ 1 (* (pow i 2) (pow (- (+ 1 (log i)) (log n)) 2))))) 1) 1)))) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow i 2)) 0) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 1 (/ 1 i)) (* 0 (- (log i) (log n))))) into (/ 1 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* i (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow i 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow i 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow i 1)))) 6) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/3 (pow i 3))) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 i)) 3)) (pow (- (+ 1 (log i)) (log n)) 3))) (* -3 (/ (* (pow (* 1 (/ 1 i)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow (- (+ 1 (log i)) (log n)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/3 (/ 1 (pow i 3)))) 1)) (pow (- (+ 1 (log i)) (log n)) 1)))) 6) into (* 1/6 (+ (* 3 (/ 1 (* (pow i 3) (pow (- (+ 1 (log i)) (log n)) 2)))) (+ (* 2 (/ 1 (* (pow i 3) (- (+ 1 (log i)) (log n))))) (* 2 (/ 1 (* (pow i 3) (pow (- (+ 1 (log i)) (log n)) 3))))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log i)) (log n)))) (+ (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 3) 6)) (* (/ (pow (/ 1 (* i (- (+ 1 (log i)) (log n)))) 1) 1) (/ (pow (* -1/2 (+ (/ 1 (* (pow i 2) (- (+ 1 (log i)) (log n)))) (/ 1 (* (pow i 2) (pow (- (+ 1 (log i)) (log n)) 2))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 3 (/ 1 (* (pow i 3) (pow (- (+ 1 (log i)) (log n)) 2)))) (+ (* 2 (/ 1 (* (pow i 3) (- (+ 1 (log i)) (log n))))) (* 2 (/ 1 (* (pow i 3) (pow (- (+ 1 (log i)) (log n)) 3))))))) 1) 1)))) into (/ 1/3 (pow i 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/3 (pow i 3)) 0) into (* 1/3 (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/3 (/ 1 (pow i 3)))) (+ (* 1 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 (- (log i) (log n)))))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (log i) (log n)) (* 1 n)) into (* n (- (log i) (log n))) * [misc]approximate: Taking taylor expansion of (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n)))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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 (- (log n) (log i))) into (- (+ 1 (log n)) (log i)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log n)) (log i))) into (log (- (+ 1 (log n)) (log i))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log n)) (log i)))) into (- (+ 1 (log n)) (log i)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (* (/ 1 n) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (* 1 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) 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]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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow i 2))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow 1 1)))) 2) into (/ -1 (pow i 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 2) 2)) (* (/ (pow (/ -1 (pow i 2)) 1) 1)))) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow i 2)) 0) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 0))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))))) in (n i) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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 (- (log n) (log i))) into (- (+ 1 (log n)) (log i)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log n)) (log i))) into (log (- (+ 1 (log n)) (log i))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log n)) (log i)))) into (- (+ 1 (log n)) (log i)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (* (/ 1 (- n)) (expm1 (log1p (log1p (/ (/ 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 (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (* -1 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 1) 1)))) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 i) 0) 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]taylor: Taking taylor expansion of (- (/ 1 i)) 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]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 (pow i 2))) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 i)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow i 2))))) 1)) (pow 1 1)))) 2) into (/ -1 (pow i 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 i) 2) 2)) (* (/ (pow (/ -1 (pow i 2)) 1) 1)))) into (/ -1/2 (pow i 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow i 2)) 0) into (- (* 1/2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (* 1/2 (/ 1 (pow i 2))))) (+ (* 0 (/ 1 i)) (* 0 0))) into (* 1/2 (/ 1 (pow i 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 2 1 1) * [misc]approximate: Taking taylor expansion of (log1p (/ i n)) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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]taylor: Taking taylor expansion of (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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]taylor: Taking taylor expansion of (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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]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 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow 1 1)))) 1) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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]taylor: Taking taylor expansion of (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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]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]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)) into (- (log n) (log i)) * [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]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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) 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) 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]taylor: Taking taylor expansion of (/ 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log (/ 1 n)) (log (/ 1 i))) into (- (log (/ 1 n)) (log (/ 1 i))) * [misc]approximate: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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]taylor: Taking taylor expansion of (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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]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]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)) into (- (log n) (log 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 (- 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]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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) 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]taylor: Taking taylor expansion of (/ -1/2 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of -1/2 in n * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) 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]taylor: Taking taylor expansion of (/ 1/3 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log (/ 1 (- n))) (log (/ 1 (- i)))) into (- (log (/ -1 n)) (log (/ -1 i))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log1p (/ i n)))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (/ i n)))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ i 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 (+ 1 (- (log i) (log n))) into (- (+ 1 (log i)) (log n)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log i)) (log n))) into (log (- (+ 1 (log i)) (log n))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log i)) (log n)))) into (- (+ 1 (log i)) (log n)) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (/ i n)))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 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 (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 (expm1 (log1p (log1p (/ i n)))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ i n)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ i n)))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ i n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ i n)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ 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 (log1p (/ i n)) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ i n))) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) 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 (+ 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 (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 n) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 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 (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))))) 1)) (pow 1 1)))) 2) into (/ -1 (pow n 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (/ 1 n) 2) 2)) (* (/ (pow (/ -1 (pow n 2)) 1) 1)))) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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 (- (log n) (log i))) into (- (+ 1 (log n)) (log i)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log n)) (log i))) into (log (- (+ 1 (log n)) (log i))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log n)) (log i)))) into (- (+ 1 (log n)) (log i)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 i) (/ 1 n))))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 i) (/ 1 n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 i) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 i) (/ 1 n))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 i) (/ 1 n)))) * [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 (- (log n) (log i))) into (- (+ 1 (log n)) (log i)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log n)) (log i))) into (log (- (+ 1 (log n)) (log i))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log n)) (log i)))) into (- (+ 1 (log n)) (log i)) * [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 (log n)) (log i)) -1) into (- (log n) (log i)) * [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]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)) into (- (log n) (log i)) * [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 (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow (- (+ 1 (log n)) (log i)) 1)))) 1) into (/ 1 (* (- (+ 1 (log n)) (log i)) n)) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log n)) (log i)))) (+ (* (/ (pow (/ 1 (* (- (+ 1 (log n)) (log i)) n)) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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) 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 (+ 0 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow (- (+ 1 (log n)) (log i)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))))) 1)) (pow (- (+ 1 (log n)) (log i)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 2))) (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log n)) (log i)))) (+ (* (/ (pow (/ 1 (* (- (+ 1 (log n)) (log i)) n)) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 2))) (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 2))))) 1) 1)))) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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) 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 (+ 0 (/ 1/3 (pow n 3))) into (* 1/3 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow (- (+ 1 (log n)) (log i)) 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))))) 1)) (pow (- (+ 1 (log n)) (log i)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/3 (/ 1 (pow n 3)))) 1)) (pow (- (+ 1 (log n)) (log i)) 1)))) 6) into (* 1/6 (+ (* 2 (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 3) (pow n 3)))) (+ (* 3 (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 3)))) (* 2 (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 3))))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log n)) (log i)))) (+ (* (/ (pow (/ 1 (* (- (+ 1 (log n)) (log i)) n)) 3) 6)) (* (/ (pow (/ 1 (* (- (+ 1 (log n)) (log i)) n)) 1) 1) (/ (pow (* -1/2 (+ (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 2))) (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 2))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 2 (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 3) (pow n 3)))) (+ (* 3 (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 3)))) (* 2 (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 3))))))) 1) 1)))) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/3 (pow n 3)) 0) into (* 1/3 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 into 0 * [misc]backup-simplify: Simplify (- (log (/ 1 n)) (log (/ 1 i))) into (- (log (/ 1 n)) (log (/ 1 i))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in (i n) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in n * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- 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 1 * [misc]backup-simplify: Simplify (log 1) 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 (/ 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 (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 (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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 (- (log n) (log i))) into (- (+ 1 (log n)) (log i)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log n)) (log i))) into (log (- (+ 1 (log n)) (log i))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log n)) (log i)))) into (- (+ 1 (log n)) (log i)) * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Rewrote expression to (- (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) in i * [misc]taylor: Taking taylor expansion of (log1p (log1p (/ (/ 1 (- i)) (/ 1 (- n))))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (log1p (/ (/ 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 (log1p (/ (/ 1 (- i)) (/ 1 (- n)))) in i * [misc]taylor: Rewrote expression to (log (+ 1 (/ (/ 1 (- i)) (/ 1 (- n))))) * [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 (- (log n) (log i))) into (- (+ 1 (log n)) (log i)) * [misc]backup-simplify: Simplify (log (- (+ 1 (log n)) (log i))) into (log (- (+ 1 (log n)) (log i))) * [misc]backup-simplify: Simplify (exp (log (- (+ 1 (log n)) (log i)))) into (- (+ 1 (log n)) (log i)) * [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 (log n)) (log i)) -1) into (- (log n) (log i)) * [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]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)) into (- (log n) (log 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 (- 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 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 n)) 1)) (pow (- (+ 1 (log n)) (log i)) 1)))) 1) into (/ 1 (* (- (+ 1 (log n)) (log i)) n)) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log n)) (log i)))) (+ (* (/ (pow (/ 1 (* (- (+ 1 (log n)) (log i)) n)) 1) 1)))) into (/ 1 n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 n) 0) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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) 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 (/ -1/2 (pow n 2))) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 n)) 2)) (pow (- (+ 1 (log n)) (log i)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))))) 1)) (pow (- (+ 1 (log n)) (log i)) 1)))) 2) into (* -1/2 (+ (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 2))) (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 2))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log n)) (log i)))) (+ (* (/ (pow (/ 1 (* (- (+ 1 (log n)) (log i)) n)) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 2))) (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 2))))) 1) 1)))) into (/ -1/2 (pow n 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (pow n 2)) 0) into (- (* 1/2 (/ 1 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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) 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 (/ 1/3 (pow n 3))) into (* 1/3 (/ 1 (pow n 3))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 n)) 3)) (pow (- (+ 1 (log n)) (log i)) 3))) (* -3 (/ (* (pow (* 1 (/ 1 n)) 1) (pow (* 2 (- (* 1/2 (/ 1 (pow n 2))))) 1)) (pow (- (+ 1 (log n)) (log i)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/3 (/ 1 (pow n 3)))) 1)) (pow (- (+ 1 (log n)) (log i)) 1)))) 6) into (* 1/6 (+ (* 2 (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 3) (pow n 3)))) (+ (* 3 (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 3)))) (* 2 (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 3))))))) * [misc]backup-simplify: Simplify (* (exp (log (- (+ 1 (log n)) (log i)))) (+ (* (/ (pow (/ 1 (* (- (+ 1 (log n)) (log i)) n)) 3) 6)) (* (/ (pow (/ 1 (* (- (+ 1 (log n)) (log i)) n)) 1) 1) (/ (pow (* -1/2 (+ (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 2))) (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 2))))) 1) 1)) (* (/ (pow (* 1/6 (+ (* 2 (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 3) (pow n 3)))) (+ (* 3 (/ 1 (* (pow (- (+ 1 (log n)) (log i)) 2) (pow n 3)))) (* 2 (/ 1 (* (- (+ 1 (log n)) (log i)) (pow n 3))))))) 1) 1)))) into (/ 1/3 (pow n 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/3 (pow n 3)) 0) into (* 1/3 (/ 1 (pow n 3))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (pow n 3))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 3)) in n * [misc]taylor: Taking taylor expansion of (pow n 3) in n * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 into 0 * [misc]backup-simplify: Simplify (- (log (/ 1 (- n))) (log (/ 1 (- i)))) into (- (log (/ -1 n)) (log (/ -1 i))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (log (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (- (log (expm1 (* (log1p (/ i n)) n))) (log (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (exp (- (log (expm1 (* (log1p (/ i n)) n))) (log (/ i n)))))) * * * * [misc]progress: [ 5 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (* (* (/ i n) (/ i n)) (/ i n))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (255 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (cbrt (pow (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) 3)))) * * * * [misc]progress: [ 8 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* n (expm1 (log1p (log1p (/ i n)))))) (/ i n)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (pow (exp n) (log1p (/ i n))) (/ i n)) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (- (/ (pow (exp n) (log1p (/ i n))) (/ i n)) (/ 1 (/ i n))))) * * * * [misc]progress: [ 13 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n)))))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))) (/ (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))))) * * * * [misc]progress: [ 14 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n)))))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (* (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))))) * * * * [misc]progress: [ 15 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n)))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (/ i n))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (/ i n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (cbrt (expm1 (* (log1p (/ i n)) n))) (/ i n))))) * * * * [misc]progress: [ 16 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n)))))))) i) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) i) (/ (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (/ 1 n)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* n (cbrt (expm1 (* (log1p (/ i n)) n)))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) i) (* n (cbrt (expm1 (* (log1p (/ i n)) n))))))) * * * * [misc]progress: [ 17 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (cbrt (/ i n)))))) * * * * [misc]progress: [ 18 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (sqrt (/ i n)))))) * * * * [misc]progress: [ 19 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* (log1p (/ i n)) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (/ i n))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (/ i n)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ i n))))) * * * * [misc]progress: [ 20 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) i) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i) (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (/ 1 n)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* n (sqrt (expm1 (* (log1p (/ i n)) n)))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ (sqrt (expm1 (* (log1p (/ i n)) n))) i) (* n (sqrt (expm1 (* (log1p (/ i n)) n))))))) * * * * [misc]progress: [ 21 / 82 ] 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))) (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (cbrt (/ i n)))))) * [enter]simplify: Simplifying (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (cbrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (* (cbrt (/ i n)) (cbrt (/ i n)))) (/ (expm1 (* (log1p (/ i n)) n)) (cbrt (/ i n)))))) * * * * [misc]progress: [ 22 / 82 ] 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))) (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (sqrt (/ i n)))))) * [enter]simplify: Simplifying (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (sqrt (/ i n))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n))) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 (sqrt (/ i n))) (/ (expm1 (* (log1p (/ i n)) n)) (sqrt (/ i n)))))) * * * * [misc]progress: [ 23 / 82 ] 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 (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ i n))))) * [enter]simplify: Simplifying (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ i n)) * * [misc]simplify: iters left: 6 (9 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 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n)) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* 1 (/ (expm1 (* (log1p (/ i n)) n)) (/ i n))))) * * * * [misc]progress: [ 24 / 82 ] 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) (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ 1 n))))) * [enter]simplify: Simplifying (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ 1 n)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (expm1 (* (log1p (/ i n)) n)) n) * [misc]simplify: Simplified (2 2 2) to (λ (i n) (* 100 (* (/ 1 i) (* (expm1 (* (log1p (/ i n)) n)) n)))) * * * * [misc]progress: [ 25 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 82 ] 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 (/ (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (* (cbrt (/ i n)) (cbrt (/ i n)))) (cbrt (/ i n))))) * * * * [misc]progress: [ 29 / 82 ] 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 (/ (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (sqrt (/ i n))) (sqrt (/ i n))))) * * * * [misc]progress: [ 30 / 82 ] 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 (/ (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) 1) (/ i n)))) * * * * [misc]progress: [ 31 / 82 ] 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 (/ (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) i) (/ 1 n)))) * * * * [misc]progress: [ 32 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n)))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (* (cbrt (expm1 (* (log1p (/ i n)) n))) (cbrt (expm1 (* (log1p (/ i n)) n)))) (/ (/ i n) (cbrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))))))) * * * * [misc]progress: [ 33 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (* (log1p (/ i n)) n))) * [misc]simplify: Simplified (2 2 1) to (λ (i n) (* 100 (/ (sqrt (expm1 (* (log1p (/ i n)) n))) (/ (/ i n) (sqrt (expm1 (* n (expm1 (log1p (log1p (/ i n))))))))))) * * * * [misc]progress: [ 34 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 (log1p (log1p (/ i n))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (log1p (/ i n))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* (* n (* (cbrt (expm1 (log1p (log1p (/ i n))))) (cbrt (expm1 (log1p (log1p (/ i n))))))) (cbrt (log1p (/ i n))))) (/ i n)))) * * * * [misc]progress: [ 46 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (log1p (/ i n))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (log1p (/ i n))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* (* n (sqrt (expm1 (log1p (log1p (/ i n)))))) (sqrt (log1p (/ i n))))) (/ i n)))) * * * * [misc]progress: [ 47 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (log1p (/ i n)))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (log1p (/ i n)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* (* n 1) (log1p (/ i n)))) (/ i n)))) * * * * [misc]progress: [ 48 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 82 ] 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 2 1 1 1) to (λ (i n) (* 100 (/ (expm1 (* n (expm1 (log1p (log1p (/ i n)))))) (/ i n)))) * * * * [misc]progress: [ 53 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 82 ] 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 2 1) to (λ (i n) (* 100 (/ (expm1 (* n (log1p (/ i n)))) (/ i n)))) * * * * [misc]progress: [ 64 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 82 ] 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: [ 72 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (exp i) 1) n) i) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (expm1 i) (/ n i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (* (expm1 i) (/ n i)))) * * * * [misc]progress: [ 73 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- (exp i) 1) n) i) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (expm1 i) (/ n i)) * [misc]simplify: Simplified (2 2) to (λ (i n) (* 100 (* (expm1 i) (/ n i)))) * * * * [misc]progress: [ 74 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* n (- (log i) (log n))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (- (log i) (log n)) n) * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 (* (- (log i) (log n)) n)) (/ i n)))) * * * * [misc]progress: [ 75 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 0) (/ i n)))) * * * * [misc]progress: [ 76 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1) to (λ (i n) (* 100 (/ (expm1 0) (/ i n)))) * * * * [misc]progress: [ 77 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (i n) (* 100 (/ (expm1 (* n (expm1 (log1p 0)))) (/ i n)))) * * * * [misc]progress: [ 78 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 n)) (log (/ 1 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (- (log i) (log n)) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (i n) (* 100 (/ (expm1 (* n (expm1 (log1p (- (log i) (log n)))))) (/ i n)))) * * * * [misc]progress: [ 79 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ -1 n)) (log (/ -1 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (log (/ -1 n)) (log (/ -1 i))) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (i n) (* 100 (/ (expm1 (* n (expm1 (log1p (- (log (/ -1 n)) (log (/ -1 i))))))) (/ i n)))) * * * * [misc]progress: [ 80 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* n 0)) (/ i n)))) * * * * [misc]progress: [ 81 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 n)) (log (/ 1 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (- (log i) (log n)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* n (- (log i) (log n)))) (/ i n)))) * * * * [misc]progress: [ 82 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ -1 n)) (log (/ -1 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (log (/ -1 n)) (log (/ -1 i))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (i n) (* 100 (/ (expm1 (* n (- (log (/ -1 n)) (log (/ -1 i))))) (/ i n)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (n i) * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on i from (# # # # # # # # #) * * * [misc]regime: Found split indices: #